Your cousin is building a new house. The layout of the first floor is shown in the diagram above. Using the
diagram and knowledge of polynomials find the following:
1. Write a polynomial that represents the length of the north side of the house. Then simplify the
expression.
2. Write a polynomial expression that represents the area of the kitchen. Then multiply to put the
polynomial in standard form.
3. Write a polynomial expression that represents the area of the bedroom. Then multiply to put the
polynomial in standard form.
4. Find the dimensions of the bathroom in terms of x. (Hint the west and east side of the house
should be equal.)

Your Cousin Is Building A New House. The Layout Of The First Floor Is Shown In The Diagram Above. Using

Answers

Answer 1

The length of the north side of the house is 2x^2 + 9x - 32

The length of the north side of the house.

From the question, we have the following parameters that can be used in our computation:

The figure

On the figure, we have

North side = 5x - 4 + x^2 - 23 + x^2 + 4x - 5

Evaluate

North side = 2x^2 + 9x - 32

The area of the kitchen

Here, we have

Length = 2x + 1

Width =  x^2 + 4x - 5

So, we have

Area = (2x + 1) * (x^2 + 4x - 5)

Area = 2x^3 + 8x^2  -10x + x^2 + 4x - 5

Area = 2x^3 + 9x^2 - 6x - 5

The area of the bedroom

Here, we have

Length = 5x - 4

Width =  5x + 4

So, we have

Area = (5x - 4) * (5x + 4)

Area = 25x^2 - 16

Dimension of the bathroom

From the figure, we have

Dimensjon = 5x - 4 by (2x + 1 + x + 6 - 5x - 4)

Dimensjon = 5x - 4 by - 2x + 3

Hence, the dimension of the bathroom is 5x - 4 by - 2x + 3

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1


Related Questions

The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 40 minutes of calls is $16.03 and the monthly cost for 81 minutes is $19.72. What is the monthly cost for 64 minutes of calls?​

Answers

Answer:

18.19

Step-by-step explanation:

$ = linear f(t)

$16.03 = f(40) = fixed fee + per min fee = x + 40y

$19.72 = f(81) = fixed fee + per min fee = x + 81 y

use above 2 equations to minus the other

you get:

19.72-16.03 = 41y

so y = 0.09

so x = 16.03 - 40*0.09 =12.43

so for 64 mins

cost = 12.43 + 0.09*64 =18.19

A popular gaming console that retails for $299,

was sold out for quite some time. Jake finally

found it on a resale platform, but it was marked

up 40%.

Answers

If Jake finally found the gaming console on a resale platform, it was marked up 40% ,then the amount that Jake has to pay to buy it is $418.6    .

The retail price of the gaming console is = $299  ;

the markup in the price of the gaming console is = 40%  ;

then the new price of the gaming console is = 299 + 40%  of $299  ;

= 299 + 0.40 × 299      ...because 40% is 0.40

Simplifying further ,

we have ;

= 299 + 119.6

= 418.6

Therefore , Jake has to pay $418.6 for the gaming console to buy from the resale platform .

The given question is incomplete , the complete question is

A popular gaming console that retails for $299, was sold out for quite some time. Jake finally found it on a resale platform, but it was marked up 40% , Find the amount that Jake has to pay to buy it .

Learn more about Mark Up here

https://brainly.com/question/28842494

#SPJ4

In a school containing 360 children, 198 are girls. What percent of all the students are girls? What percent of the children are boys? The number of girls is what percent of the number of boys?

Answers

198/360= 55% of girls 45% boys

4. Please Help ASAP!
Use this balanced reaction to show that you can write the equation that makes chemical sense.
Explain how your symbols were derived in paragraph form..

Answers

The simulation provides information about the concept of balancing a chemical equation through visual representation and interactive tasks.

What is your understanding about given chemical reaction?The user is able to balance the equation by adjusting the coefficients of the reactants and products to ensure that the number of atoms of each element is conserved on both sides.It did not have to research outside the simulation for information about balancing a chemical equation. The simulation provides enough information to understand the concept.The simulation can be used to check learning by allowing the user to practice balancing different chemical equations and receive feedback on their work. This helps to reinforce the understanding of the concept and identify any areas where further improvement is needed.In the balanced reaction CO2 + H2O -> C2H6 + O2, the coefficients were derived by ensuring that the number of atoms of each element was conserved on both sides of the equation. This means that the same number of carbon, hydrogen, and oxygen atoms are present in the reactants and products. To balance the equation, the coefficients were adjusted until this condition was met.To show the molecular representations of a balanced reaction, the molecular structures of the reactants and products can be drawn, showing the individual atoms and their connections. In the case of the reaction CO2 + H2O -> C2H6 + O2, the molecular structure of CO2 is a linear arrangement of two oxygen atoms bonded to a carbon atom. The molecular structure of H2O is a bent arrangement of two hydrogen atoms bonded to an oxygen atom. The molecular structure of C2H6 is a hexagonal arrangement of six hydrogen atoms bonded to a carbon atom. The molecular structure of O2 is a linear arrangement of two oxygen atoms bonded to each other. These representations were derived by following the basic principles of chemical bonding and considering the arrangement of atoms in the molecules.

To learn more about moleceles refer:

brainly.com/question/26044300

#SPJ1

- 5x15x + 12x - 4x I don’t know how to solve this

Answers

Answer:

Step-by-step explanation:

Multiply the numbers:

-5x*15x + 12x - 4x.

Which should get you: -75xx + 12x - 4x

Then combine exponents : -75xx + 12x - 4 = -75x^2 + 12x - 4x

Combine like terms: -75x^2 + 8x

Then find common factor with is -1

Lastly, rewrite in factored form : -1(75x^2 + 8x) = -1(75x - 8)x

graph the quadrilateral with the given vertices in a coordinates plane then show that the quadrilateral is a parallelogram E(-3,0),F(-3,4),G(3,-1),H(3,-5)​

Answers

If one set of the opposite sides of a quadrilateral is equal and parallel, the shape is referred to as a parallelogram.

Is quadrilateral is a parallelogram?

A quadrilateral is a parallelogram if each pair of opposite angles in it is equal. The quadrilateral ABCD is a figure in which A = C and B = D. We are aware that a quadrilateral's angles add up to 360 degrees. ABCD is therefore a parallelogram.

A quadrilateral is a parallelogram if one pair of its opposite sides is both equal and parallel. A quadrilateral becomes a parallelogram if its diagonals cut each other in half.

The opposite sides of a parallelogram are equal to one another. A parallelogram's diagonals are consistently equal. The diagonals do not cross each other in a parallelogram. The diagonals in a parallelogram are always at right angles to one another.

To learn more about parallelogram refer to:

https://brainly.com/question/970600

#SPJ1

A table shows miles and hours for today and yesterday. The number of miles is 15 for today and m for yesterday. The number of hours is 2.5 for today and 4 for yesterday.

Answers

The distance covered on the yesterday was 24 miles.

What is proportion?

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given that, The number of miles is 15 for today and m for yesterday. The number of hours is 2.5 for today and 4 for yesterday, the rate is same for both the days, therefore, this will represent a proportion,

Therefore, establishing the proportion,

15 / 2.5 = m / 4

15 × 4 / 2.5 = m

m = 24

Since, we got the value of m is 24 miles.

Hence, the distance covered on the yesterday was 24 miles.

Learn more about proportion, click;

https://brainly.com/question/7096655

#SPJ1

The table shows the costs of movie tickets and large bags of popcorn for two groups of people.


a. Can you determine how much each ticket costs? Explain.



b. A third group buys 5 tickets and 4 large bags of popcorn for $82. How much more does a ticket cost than a large bag of popcorn?

Answers

According to the unitary method,

(a) Ticket cost for 5 people is $28.75

(b) The cost for ticket is $28.75 and the cost for popcorn is $53.25

In math the term called unitary method is defined as a basic concept to find the value of a single unit and then using that value to find the value of multiple units.

Here we have know that each person in a group buys a movie ticket, a drink, and a popcorn.

And the cost for each of the product is listed as Ticket is $5.75, Drink is $2.00 and Popcorn is $3.25.

Then the cost of 5 people is calculated as,

=> 5.75 x 5

=> 28.75

And the third group buys 5 tickets and 4 large bags of popcorn for $82.

Then the cost of the ticket is calculated as,

=> 82 - 28.75

=> 53.25

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ4

I Need help quick! Tyyy!

Answers

The required answer of given parts are  1) 4500 ft² 2)  2700 ft² 3) $1485.

What is right angled triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The sum of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse. ​

According to question:

1) Area of design = area of rectangle + 2(area of triangle)

Area of design = (60×30) + 60×45

Area of design = 1800 + 2700

Area of design = 4500 ft²

2) Area covered by grass =  2(area of triangle)

Area covered by grass =   = 60×45

Area covered by grass = 2700 ft²

3) installment of grass is $0.55 per ft².

So,

For 2700 ft²

= 2700 ft²(0.55)

= $1485

Thus, required answers are 1) 4500 ft² 2)  2700 ft² 3) $1485.

To know more about Triangle visit:

brainly.com/question/2773823

#SPJ1

h(x) = 3x; Find h(-6)

Answers

Whenever you see something like this, or usually it’s f(x). Simply take the given number and plug it into x. So in this case, we are given the equation h(x)=3x and asked to find h(-6). Simply replace the x in the equation with -6.
h(x)=3x
h(x)=3(-6)
h(x)=-18

Mateo has 8 liters of punch for a party. Each glass holds 1/5

liter of punch.


How many glasses can Mateo fill with punch?

amswer in simplest from fraction

Answers

Mateo can fill 40 glasses with punch and this can be calculated as :

8 liters = 8 x (5/1) = 40 liters

By solving the above equation following will be obtained.

Therefore, Mateo can fill 40 glasses with punch.

Mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

If numerator value is less than the denominator value, it is a proper fraction.If a numerator value is greater than  denominator value, then it is called an improper fraction.

To know more about fraction here

https://brainly.com/question/10354322

#SPJ4

incoming calls to a customer service center are classified as complaints (73% of calls) or requests for information (27% of calls). of the complaints, 40% deal with computer equipment that does not respond and 57% deal with incomplete software installation; in the remaining 3% of complaints, the user has improperly followed the installation instructions. the requests for information are evenly divided on technical questions (50%) and requests to purchase more products (50%). round your answers to four decimal places (e.g. 0.9876). (a) what is the probability that an incoming call to the customer service center will be from a customer who has not followed installation instructions properly? enter your answer in accordance to the item a) of the question statement (b) find the probability that an incoming call is a request for purchasing more products. enter your answer in accordance to the item b) of the question statement statistical tables and charts

Answers

The probability of that an incoming call to the service centre is 0.0219. And the probability that an incoming call is a request for purchasing more products is 0.135.

Probability of an event gives the possibility of an event which is never greater than 1 and the probability of impossible event is 0 and the probability of sure event is 1.

Probability = number of favourable cases/ total number of outcomes

a) The probability that an incoming call to the customer service = Probability of incoming calls to the service centre * probability of remaining number of calls in the centre = 0.73* 0.03 = 0.0219.

b) the probability that an incoming call is a request for purchasing more products = Probability of request of calls  in the service centre * probability of request of purchase. = 0.5 * 0.27 = 0.135.

Hence, the probability that incoming call to the service is 0.0219 and of the request of purchase is 0.135.

To learn more about probability visit: https://brainly.com/question/30034780

#SPJ4

noah spent 150$ to buy movie tickets for 15 students and 3 adults. Adult tickets cost $4 more than student tickets Use A as the price for an adult price and S for the price of student tickets.

Answers

The amounts of each ticket that were purchased are given as follows:

Adult: $11.67.Student: $7.67.

How to obtain the amounts?

The amounts are obtained using a system of equations, for which the variables are given as follows:

Variable a: number of adult tickets.Variable s: number of student tickets.

Noah spent $150 to buy movie tickets for 15 students and 3 adults, hence:

3a + 15s = 150

a + 5s = 50

a = 50 - 5s

Adult tickets cost $4 more than student tickets, hence:

a = 4 + s.

The solution for s is then obtained as follows:

50 - 5s = 4 + s

6s = 46

s = 46/6

s = $7.67.

Then the price of an adult ticket is of:

7.67 + 4 = $11.67.

Missing Information

The problem asks for the amounts of each ticket that were purchased.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Researchers created a new fertilizer. They conducted an experiment to compare the new fertilizer to the old fertilizer. They divided tomato plants into two groups. They applied the new fertilizer to one group and the old fertilizer to another group. The variable is the number of tomatoes per plant on a randomly selected day.

Which one of the following statements is valid?


A. The new formula of fertilizer works better. Plants with the new fertilizer had more tomatoes.

B. The old formula of fertilizer was better because the plant with the most tomatoes was treated with the old fertilizer.

C. The average number of tomatoes per plant with the old fertilizer is higher than the average amount of tomatoes per plant with the new fertilizer.

D. We can make no conclusions from this data about which fertilizer is better because the two groups have a different number of plants

Answers

The plant that produced the most tomatoes was treated with the old fertilizer, thus it was better. So statement B is correct.

A line plot is one type of graph that helps us to represent the data along the number line. This plot is also referred to as a dot plot. In this plot, we show the data as a check or point above a number line. Each point or check in this plot represents the frequency of each value.

The given plot about fertilizers is a line plot. In this plot, 1 dot over 2 in the old fertilizer treatment means about 2 plants have one tomato.

By comparing the line plot for both the new fertilizer and old fertilizer, we will be able to say that there are more tomatoes produced when the old fertilizer is used than the new fertilizer.

Nearly 65 tomatoes were produced when old fertilizer is used but only 58 tomatoes were produced when new fertilizer is used. Therefore, statement B is correct.

To know more about dot plots:

https://brainly.com/question/15207077

#SPJ4

to own and operate a home printer it costs $100 for the printer and additional $0.05 per page for ink
let p represent the number of pages let t represent the total costs
A,write an equation to represent each printing scenario Y=mx+b

Answers

The equation that represents each printing scenario will be t = 0.05p + 100.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Owning and operating a home printer costs $100 for the printer and an additional $0.05 per page for ink.

Let 'p' represent the number of pages and 't' represent the total costs. Then the equation is given as,

t = 0.05p + 100

The equation that represents each printing scenario will be t = 0.05p + 100.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Calculate the angular momentum of a ballet dancer who is spinning at 1.5 rev/sec. Model the dancer as a cylinder (I = MR 2) with a mass of 62 kg, a height of 1.6 m and a radius of 0.16 m.

Answers

The angular momentum of an object can be calculated using the formula L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

In the case of the ballet dancer, we are told that they are spinning at 1.5 rev/sec, and that they can be modeled as a cylinder with a moment of inertia of 22 MR^2, a mass of 62 kg, a height of 1.6 m, and a radius of 0.16 m.

We can calculate the moment of inertia of the cylinder using the formula I = (1/2) MR^2, where M is the mass and R is the radius.

Plugging in the values we have, I = (1/2)(62 kg)(0.16 m)^2 = 3.072 kg-m^2

We can then calculate the angular momentum of the dancer by plugging in the values we have into the formula L = Iω,

L = (3.072 kg-m^2)(1.5 rev/sec) = 4.608 kg-m^2/s

So the angular momentum of a ballet dancer who is spinning at 1.5 rev/sec, modeled as a cylinder with a moment of inertia of 22 MR^2, a mass of 62 kg, a height of 1.6 m and a radius of 0.16 m is 4.608 kg-m^2/s.

The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 68%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.

Answers

Answer:

Likely

Step-by-step explanation:

68% is more than 2/3, so the event is likely to occur.

Answer: Likely

5. Write the following expression: the product of 10 and 4, taken to the fourth power, minus the quantity of 25 divided by 5.​

Answers

We can write the given statement as an expression as -

(10 × 4)⁴ - (25/5)

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the mathematical statement as -

" the product of 10 and 4, taken to the fourth power, minus the quantity of 25 divided by 5 ".

We can write the expression as -

(10 × 4)⁴ - (25/5)

Therefore, we can write the given statement as an expression as -

(10 × 4)⁴ - (25/5)

To solve more questions on algebraic equations, visit the link below-

brainly.com/question/1041084

#SPJ1

Earth is about 9. 27 x 107 miles from the Sun. Venus is about 6. 68 x 107 miles

from the Sun. About how much farther from the Sun is Earth than Venus?

Answers

Earth is 2.59 x 10⁷ miles farther from the Sun than Venus.

Let us assume that d₁ represents the distance between the earth and the sun.

d₂ represents the distance between the earth and the Venus.

The distance between the earth and the sun is  9.27 x 10⁷ miles.

d₁ =  9.27 x 10⁷ miles

And the distance between the Sun and the Venus is about 6. 68 x 10⁷ miles.

⇒ d₂ = 6. 68 x 10⁷

To find : by how much farther from the Sun is Earth than Venus

We need to find the absolute difference between d₁ and d₂

Let d be the absolute difference between d₁ and d₂

d = |d₁ - d₂|

d = | (9.27 x 10⁷) - (6. 68 x 10⁷ )|

d = |(9.27 - 6.68) x 10⁷ |

d = 2.59 x 10⁷ miles

Learn more about the absolute difference here:

https://brainly.com/question/11979212

#SPJ4

Three rectangular prisms are shown below. Prism A is a rectangular prism with a height of six inches, length of three inches, and a width of two inches. Prism B is a rectangular prism with a height of three inches, length of five inches, and a width of two inches. Prism C is a rectangular prism with a height of two inches, length of seven inches, and a width of two inches. Which statement is true? (4 points) a The volume of Prism A is less than the volume of Prism C. b Prism B has the greatest volume. c Prism B has a greater volume than Prism C. d Prism B and Prism C have the same volume.

Answers

The true statement is,  c.) Prism B has a greater volume than Prism C.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Prism A is a rectangular prism with a height of six inches, length of three inches, and a width of two inches.

Prism B is a rectangular prism with a height of three inches, length of five inches, and a width of two inches.

Prism C is a rectangular prism with a height of two inches, length of seven inches, and a width of two inches.

now,

volume of prism=V = B*H

where, B is the area of base.

so, by calculating we get,

V-prism A= 36 inch^3

V-prism B= 30inch^3

V-prism C=28 inch^3

Hence, c.) Prism B has a greater volume than Prism C.

To learn more on volume click :

brainly.com/question/1578538

#SPJ1

Answer:

C

Step-by-step explanation:

Can someone please help me? I need help ASAP

I need to show work btw

Answers

Answer:

Step-by-step explanation:

yes the triangle can be formed

4. The two trapezoids below are similar. What
is the length of segment EF?
24 am
A
D
30 cm
B
C
G.
7.5 cm
X
E
H


Help please

Answers

The length of the segment EF for the given trapezoids is 6 cm.

How do trapezoids work?

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided shape.

An opposing set of sides are parallel. The four angles of a trapezium add up to 360 degrees, and their diagonals cut each other in half. It has four odd-numbered sides. Thus, the opposing sides of an isosceles trapezium are congruent, as well as the diagonals.

Trapezoids ABCD and EFGH are similar,

Hence, corresponding sides ratio are equal:

Thus, AB/EF = DC/HG

24/x = 30/7.5

30x = 180

x = 180/30

x= 6

Hence, the length of the segment EF is 6 cm.

Learn more about trapezoid here:

https://brainly.com/question/8643562

#SPJ1

Two Javan Rhinoceroses share a zoo exhibit. The younger one weighs tons, while the older one weighs 2,400 pounds. Which one weighs more?Explain

Answers

Answer:

if younger one weighs 1 ton, then older one is heavier

Step-by-step explanation:

1 ton = 2000lbs

C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent? It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. It is given that C is the circumcenter of triangle ABD, making segment BE a median. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property. Triangles ABE and DBE are congruent by HL

Answers

The incenter is where a triangle's angle bisectors meet. Since C is the incenter, segment BC should be the angle bisector. So, there is an error in line 3; segment AB and BC are congruent.

Any triangle with any 2 sides that are the same length is defined as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides.

If all three angles of the three triangles are acute, the circumcenter of an isosceles triangle sits inside the triangle. The circumcircle's chords are the sides of the triangle. In this case, the circumcenter is outside of the triangle since one of the angles is 90 degrees.

The circumcenter of a triangle ABC is the location where the perpendicular bisectors of its sides cross.

To learn more about circumcenter of triangle link is here

brainly.com/question/16276899

#SPJ4

The complete question is given below:

3/5=?/10=33/?
Complete the empty places

Answers

The values in the empty places are 0.6 and 3.3 respectively.

What is division and multiplication?

Multiplication is the process of adding a number repeatedly. When m is multiplied by n, m is being added to itself n times in total. The multiplication sign is "." A way to divide or distribute a number into equal parts is by division. The two key arithmetic operations in mathematics are multiplication and division. Similar to addition and subtraction, the processes of multiplication and division are intimately tied to one another. All real numbers are subjected to these processes.

The value of 3/5 can be calculated by dividing the numerator and the denominator.

3/5 = 0.6

The given expression is:

10 = 33/ x

Isolate the value of x:

10x = 33

x = 33/10

x =3.3

Hence, the values in the empty places are 0.6 and 3.3 respectively.

Learn more about division here:

https://brainly.com/question/1292482

#SPJ1

The points plotted on the coordinate grid represent the rule y = x + 4. Which table also represents this rule?

Answers

Answer:

See below

Step-by-step explanation:

No table was given but it should look something like

x   y

-3  1

-2  2

-1   3

0   4

1    5

2   6

3   7

Whatever number you select for x add 4 to it and that will give you your y value

10. Hamal has a new part-time job bagging groceries after school. The 2 po equation y = 10x + 50 shows the relationship between his hours of work (x) and the amount of money in his bank account (y). How much money did he have in his bank account before he started working?*​

Answers

If the relationship between his hours of work (x) and the amount of money in his bank account (y) is represented by equation "y = 10x + 50" , then the money did he have in his bank account before he started working is $50 .

The equation y = 10x + 50 shows the relationship between Hamal's hours of work (x) and the amount of money in his bank account (y).

When x = 0, the equation becomes y = 10(0) + 50, which simplifies to y = 50. So when Hamal has not worked any hours, he has $50 in his bank account.

In other words, the y-intercept of the equation is 50, which represent the amount of money Hamal had in his bank account before he started working.

Learn more about Equations here

https://brainly.com/question/30213456

#SPJ4

what is (-5x+3)-(-7x7)

Answers

Answer: (-5x+3) - (-7x7) = -5x + 3 - (-7x7) = -5x + 3 + 7x7 = 2x7

The expression (-5x+3) - (-7x7) is the result of subtracting two algebraic expressions. When subtracting algebraic expressions, we need to distribute the negative sign to each term before combining like terms.

The first step is to distribute the negative sign to each term in the second expression, (-7x7). This gives us:

(-5x+3) - (-7x7) = -5x+3 + 7x7

Now we can combine the like terms, x7, to get the simplified expression:

-5x+3 + 7x7 = 2x7

So the final answer is 2x7.

Step-by-step explanation:

Answer: (-5×+3) - (-7x7) = -5x + 3 - (-7×7) = -5x + 3
† 7x7 = 2×7
The expression (-5x+3) - (-7x7) is the result of subtracting two algebraic expressions. When subtracting algebraic expressions, we need to distribute the negative sign to each term before combining like terms.
The first step is to distribute the negative sign to each term in the second expression, (-7x7).
This gives us:
(-5×+3) -(-7×7) = -5×+3 + 7×7
Now we can combine the like terms, ×7, to get the simplified expression:
-5x+3 + 7×7 = 2x7
So the final answer is 2x7.

The price of an item has been reduced by 35% . The original price was $60. What is the price of the item now?

Answers

Answer:  39 dollars

===================================================

Explanation:

The price drops by 35%, so it keeps the remaining 65% (since 100-35 = 65)

65% of $60 = 0.65*60 = 39 dollars

-------

A slightly longer method:

35% of 60 = 0.35*60 = 21

You save $21 and the final price is 60-21 = 39 dollars

Which of the following is an equation of the line through 11,3 and7,9

Answers

The linear equation for the coordinate points given is obtained as y = -3/2x + 19.5.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The coordinate points for the lines are (11,3) and (7,9).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[9 - 3]/[7 - 11]

(6)/(-4)

3/-2

So, the slope point is obtained as m = 3/-2.

The equation becomes - y = -3/2x + b

To find the value of b substitute the values of x and y in the equation -

3 = -3/2(11) + b

3 = -33/2 + b

b = 3 + 33/2

b = (6 + 33)/2

b = 39/2

b = 19.5

So, the value for b is 19.5.

Now, the equation becomes -

y = -3/2x + 19.5

The graph for the equation is plotted.

Therefore, the equation is obtained as y = -3/2x + 19.5.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

Other Questions
Suppose that the annual amount of rainfall (in million tons) accumulated in a lake follows a gamma distribution with alpha = 3 and gamma = 5.a) Find the expected annual rainfall accumulated in this lake.b) Find the standard deviation of the annual amount of rainfall in this lake.c) Find P(X < 4), use R.d) Find P(2 < X < 5), use R Why does the author keep referring to a Black Jesus in the hate u give suppose mike and john are two brothers who are given $110 to split. given this information, which of the following is not an example of pareto efficiency? Label these examples as either instances of representative or direct democracy. a man borrowed r 3750 at the imple intret 7.5% p.a what will be the um he ha to depoit at the end of 73 day juul claimed that their product helped people __________, even though there was no independent research to back that up. spectral bias and task-model alignment explain generalization in kernel regression and infinitely wide neural networks PLEASE ANSWER DUE TOMORROW A small startup firm has each of the partners contribute $50,000 in capital to help the company make payroll for the next three months. W2 Corp. Needs capital to finance a new product line. It borrows money in the form of long-term bonds underwritten by an investment bank. Citibank issues a loan to Jennifer for the expansion of her flower delivery business. Steves grandfather loans him $30,000 to start a small coffee shop in the East Village in Manhattan a client in a manic state emerges from her room. the client is dressed in a low-cut blouse and a miniskirt. she is not wearing underwear and she proceeds to sit on a male client's lap and begins to make sexual remarks and gestures to the male client. the nurse would take which action Is the yeast we use for baking bread considered "alive"? Students in biology class made the claim that yeast is a living thing. To find evidence, they were given a beaker containing warm water (22oC). To that, they added one package of dry bakers yeast and 0.5 grams of sugar. After waiting 20 minutes, the students made the observations recorded in the data table seen here. there is a gap between how well the us stock market does, and how the average investor does. what 2 factors explain that gap? what is the measure of arc BC?130 degrees180 degrees65 degrees32.5 degrees Need help to answer. ASAP. Air at a temperature of 150C passes through a heat exchanger at a velocity of 30 m/s where its temperature is raised to 8000C. It then enters a turbine with the same velocity of 30 m/s and expands until the temperature falls to 6500C. On leaving the turbine, the air is taken at a velocity of 60 m/s to a nozzle where it expands until the temperature falls to 5000C. If the air flow rate is 2 kg/s, calculate the following. (i) Rate of heat transfer to the air in the heat exchanger, (ii) Power output from the turbine assuming no heat loss, and (iii) Velocity at exit from the nozzle, assuming no heat loss. Take the enthalpy of air as h =cpt, where cp is the specific heat equal to 1. 005kJ/kg K and t is the temperature. a network administrator configures a soho router for a small business. which zone and ip address information is configured on the router for proper functionality for users to access all internal resources and the internet? Students will present a play in anauditorium that has 550 seats. Eachstudent performing in the play mustsell 12 tickets to the performance.The remaining 370 tickets will besold by other students in the school.Which equation could be usedtofind x, the number of studentsperforming in the play? Select the best answer for the question17. Tony recently started eating foods containing probiotics to support the health of his gut. Foods he added to his diet includeA. kombucha and artichokesB. yogurt and sauerkraut.O C. fermented foods and almondsO D. buttermilk and avocados please I need this ASP my last quoin to pass my testUsing the artifact illustrations pictured in the text, identify movements that are recognizable to you as dance styles seen in the present day. At the nearest wholesale store, 3 bags of cereal cost $21.75. Which equation represents the proportional relationship?please help Do you believe there is a problem in our society that differentiates emotional expression between men and women