Can someone just help explain one of the problems and I’ll try the rest? Thank you!

Answers

Answer 1

Okay so basically to answer these, you need to distribute ! Let’s do the first one !

So we have 6(s-9)

Since the 6 is outside the parenthesis, you need to “distribute” it, meaning you’re going to multiply 6 by everything that is in the parenthesis.

So 6 times s is 6s (: and 6 times -9 is -54

So your final answer will be 6s-54

For the second problem, it’s the same thing. Multiply the 12 with everything else.

So 12 times 6 is 72 and 12 times -k is -12k

So your answer for the second one is going to be 72-12k (:

Let me know if you need help with the rest !

Related Questions

Set up a system of equations for the given information by filling in the boxes with the coefficients of the variables and the constant values, where is the amount invested in stocks, is the amount invested in bonds, and is the amount invested in CD's. If there is no visible coefficient, then enter for the coefficient. If a specific variable is not present in the equation, then enter for the coefficient. Country Day's scholarship fund receives a gift of $200000. The money is invested in stocks, bonds, and CDs. CDs pay 5% interest, bonds pay 2.9% interest, and stocks pay 10.9% interest. Country day invests $20000 more in bonds than in CDs. The total amount earned from the investments is $11165. Total amount invested: + + = Total amount earned from investements: + + = Relation of bonds and CDs: + + =

Answers

The system of equations is:

a + b + c = 2000000.109a + 0.029b + 0.05c = 11165b = c + 20000

How to determine the system of equations

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

Total amount invested = $110000

Using the fiollowing variable representations:

Amount invested in stocks = a Amount invested in bonds = bAmount invested in CD's = c

We have

a + b + c = 200000

Using the total interest earned of 7145, we have:

10.9% * a + 2.9% * b + 5% * c = 11165

So, we have

0.109a + 0.029b + 0.05%c = 11165

Country day invests $20000 more in bonds than in CDs.

So, we have

b = c + 20000

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At a local play, student tickets cost $5 each and adult tickets cost $11 each. if ticket sales were $3,000 for 300 tickets, how many students attended the play? a. 50 b. 150 c. 250d. 300

Answers

This problem can be solved used linear equations. Here there are two variables, number of students and number of adults. After calculations we get the number of students attended the play is 50.

Lets consider the number of students is x and number of adults is y.

Total tickets sold = 300

x + y = 300 ------------ equation 1

The amount of total tickets sold is 3000.

Amount sold to students = 5x

Amount sold to adults = 11y

So, 5x+11y =3000 ----------- equation 2

Equating the x term for equation 1

Multiplying both sides with 5

5 (x+y) = 5 × 300

5x + 5y = 1500 ---------- equation 3

Subtracting equation 3 from equation 2

5x + 11y = 3000

- ( 5x + 5y = 1500)

6y = 1500

y = 1500/6 = 250

Number of adult attended = 250

From equation 1, x+y = 300

Substituting the value of y

x + 250 = 300

x = 300-250 = 50

So number of students attended is 50

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Answer: 50

Step-by-step explanation: i got it right on my quiz

Take care to properly set up your equations. The $3,000 is the sum of total money from student tickets and total money from the adult tickets.

A florist wants to determine if a new additive helps

extend the life of cut flowers longer than the original

additive does. The florist selects 20 flowers of different

types and puts each flower in its own vase with the

same amount of water. She positions the vases so they

also receive the same exposure to light. She numbers

the flowers 1-20, and places these numbers on equal-

sized slips of paper. The slips are placed in a hat and

mixed thoroughly. A slip is chosen and the

corresponding flower receives the new additive. After

the hat is shaken, another slip is chosen and the

corresponding flower also receives the new additive.

This procedure continues until 10 flowers have been

assigned to receive the new additive. The remaining 10

flowers receive the original additive.

Answers

"No, the flowers were not put into groups first and then randomly assigned the two additives.

Now, According to the question:

Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a random experiment. To avoid any ambiguity or surprise, a random experiment must be properly defined.

"Information available from the question"

The florist selects 20 flowers of different

And puts in each vase with same amount of water.

10 flowers have been assigned to receive the new additive.

The remaining 10 flowers receive the original additive.

Based on the data, this is not a randomized block design for the experiment because the flowers were not put into groups first and then randomly assigned the two additives.

Therefore, "No, the flowers were not put into groups first and then randomly assigned the two additives.

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how many 10-element subsets of {1, 2, 3, . . . , 20} contain at least one odd element? (hint: we are selecting a subset of the previous set, so {1,2,3,4,5,6,7,8,9,10} is the same as {1,2,3,5,4,6,7,8,9,10}.)

Answers

The no. of subsets with at least one odd number is ²⁰C₁₀ - 1

We have the sample set to be {1, 2, 3, 4, ... 20}

Now we need to make subsets of 10 from these 20 elements.

Hence, the number of possible subsets of 10 elements will be

²⁰C₁₀

Now, there are 10 odd elements in the given sample set.

Hence the number of sets that contain at least 1 odd element

= Total no. of possible sets - no. of possible sets with no odd no.

Now since there are only 10 even numbers, there can be only one such set possible.

Hence no. of the subsets with at least one odd number is

²⁰C₁₀ - 1

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Find MP.
J
M,
K
DO
3x + 14
O 9x-34
L

Answers

The length of the segment MP is 38 units

How to determine the length MP

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

The triangle

On the triangle, we have

9x - 34 = 3x + 14

Evaluate the like terms

6x = 48

Divide by 6

x = 8

Given that

MP = 9x - 34

We have

MP = 9 * 8 - 34

Evaluate

MP = 38

Hence, the length of MP is 38 units

Answers

Answer:

Step-by-step explanation:

Total number = 260

Ratio would be 1 : 3

So, the first part is given by

[tex]\frac{1}{4}[/tex] x 260

=[tex]\frac{260}{4}[/tex]

=65

And the second part is given by

[tex]\frac{3}{4}[/tex] x 260

=[tex]\frac{780}{4}[/tex]

=195

Hence, the first and second part are 65 and 195 respectively.

researchers collect data about juuling by asking users to keep track of the number of times per day they turn their device on and the number of inhalations each time they turn the device on. what type of data are these? group of answer choices interval nominal ratio ordinal

Answers

The given data is ordinal data.

This type of data is ordinal data, as the variables are collected on an ordered scale (the number of times per day the device is turned on and the number of inhalations per activation). Although the actual numerical values may not have equal distances, they can still be ordered and compared based on the magnitude of the numbers.

Ordinal data is a categorical statistical data type when the distances between the categories are unknown and the variables have naturally occurring, ordered categories. These statistics are presented on an ordinal scale, one of the four measurement levels that S. S. Stevens described in 1946.

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A water sample shows 0. 097 grams of some trace element for every cubic centimeter

of water. Ayden uses a container in the shape of a right cylinder with a diameter of

16. 8 cm and a height of 10. 8 cm to collect a second sample, filling the container all

the way. Assuming the sample contains the same proportion of the trace element,

approximately how much trace element has Ayden collected? Round your answer to

the nearest tenth.

Answers

Adam has gathered 232.32 g of trace elements, which are contained in a cylindrical container with a radius of 8.4 cm and a height of 10.8 cm.

Radius of the cylinder 8.4 cm

Height of the cylinder = 10.8 cm

Volume of the cylinder = π r² h

When we change the values in the formula, we obtain:

V = π (8.4 cm)² (10.8 cm)

V = 22 / 7 (70.56 cm²) ( 10.8 cm)

V = 2395.008 cm³

Presence of particle = 0.097 g for every cm³

The element's trace for 2395.008 cm3 will be:

= 2395.008 × 0.097 g

= 232.315776 g

As a result, Adam has gathered 232.32 g of trace elements in the cylindrical container with a radius of 8.8 cm and a height of 15.9 cm.

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In △FGH, ∠F≅∠H, HF=13 and GH=11. Find FG.

Answers

To find the value of FG, FG is 11.

Properties of isosceles triangle.

When there exist a triangle which has two of its sides to be equal in length, then it can be referred to as an isosceles triangle. Such that its two angles opposite the equal sides have equal measure.

Considering the given question, to find the value of FG;

since it has been given that <F ≅ <H, then;

GH ≅ FG (properties of sides of an isosceles triangle)

Such that;

GH = 11, then

GH ≅ FG = 11

Thus the value of FG is 11.

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Identify bias based on a survey of 2718 people the national opinion research center concluded that 30% 32% of americans always make a special effort to sort and recycle glass cans plastic or papers 24% americans often make such an effort

Answers

Based on a survey of 2718 people, a research center concluded that 32% of Americans "always" make a special effort to sort and recycle glass, cans, plastic, or papers. Participation bias is there in this case.

The bias would have no effect on a reader's perception of the assertion because no group of persons is much more likely to respond to the poll than any other.

When comparisons are performed between groups of patients who differ in outcome determinants and the differences are connected to the result, participation bias emerges.

1. Participation bias is inherent in studies that involve participant enrollment.

2 Because selective participation might jeopardize study external validity, determining the magnitude of participation bias is critical for optimizing inference from these investigations.

Few community studies have looked into the impact of participation bias. Nonparticipants in one population-based study of myocardial infarction (MI) were older, had more comorbidity, and had a lower survival rate than participants.

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How many solutions does the system have?
x = 5y + 4
- 2x+10y = -8
A one solution
B infinitely many solutions
no solution
D) two solutions

Answers

Answer:

D) two solutions

Step-by-step explanation:

because the first one is: x = 5y + 4

and the second one is: -2x+10y=8

and the equals in the first one is just how to get the value of x and it doesn't count as a third solution

You invest $300 in an account that has a annual interest rate of 6%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?

A) 6. 7% and 16 times

B) 1. 5% and 1 time

C) 1. 5% and 16 times

D) 6. 7% and 4 times

Please Answer!

Answers

The correct answer for equivalent interest rate and no. of times will the money be compounded is C) 1.5% and 16 times respectively.

The annual interest rate of 6% is equivalent to a quarterly interest rate of 6% / 4 = 1.5%. The money will be compounded quarterly, so it will be compounded 16 times in total over 4 years.

Compound interest is computed as interest on the initial principal plus any accrued interest from prior periods. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

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8x +x2/3 what is that answer

Answers

The solution to the expression when x = 3 is 26

How to determine the solution to the expression

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

8x + x * 2/3

Also, we have

x = 3

substitute the known values in the above equation, so, we have the following representation

8 * 3 + 3 * 2/3

Evaluate the product

24 + 2

Evaluate the sum

Hence, the solution is 26

Answers

The solution of the system of equations:

-2x - 10y = -2

-4y = x

is the point (-4, 1).

How to solve the system of equations?

Here we want to solve the system of equations below:

-2x - 10y = -2

-4y = x

By the substitution method, to do so, we need to isolate one of the variables in one of the equations and then replace that in the other equation.

We can see that x = -4y is already isolated on the second equation, then we can replace this on the first one to get:

-2*(-4y) - 10y = -2

We can solve this for y.

8y - 10y = -2

-2y = -2

y = -2/-2 = 1

And thus, the value of x is:

x = -4y

x = -4*1 = -4

The solution of the system is (-4, 1).

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The set of natural numbers between 11 and 155
Choose the correct answer below.
OA. {12, 154}
B. {12, 13, 14, 15, ..., 154}
C. {11, 155}
D. 11, 12, 13, 14, ..., 155}
OE. {..., 11, 12, 13, 14, ..., 155, ...}
F. {..., 12, 13, 14, 15, ..., 154, ...}
G. Ø

Answers

The set of natural numbers between 11 and 155 is {12, 13, 14, 15, ..., 154}.

A natural number is a positive integer, also known as a counting number. The set of natural numbers is represented by the symbol {1, 2, 3, 4, ...}.

The set of natural numbers between 11 and 155 includes all the natural numbers that are greater than or equal to 12 and less than or equal to 154.

This set is represented by {12, 13, 14, 15, ..., 154}. This set is infinite, meaning it contains an infinite number of elements. The dots indicate that the set goes on infinitely in both directions, but in this case, we are only concerned with the numbers between 11 and 155.

It is important to note that the answer "A" is incorrect because it only contains 2 elements, while the correct answer B is infinite set of numbers between 11 and 155 inclusive.

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A manager at a theater needs to order 267 new seats if the seats are sold only in groups of 10 what is the least number of seats that the manager should order

Answers

The least number of seats the manger could order to 270 seats

How to find the least number of seats the manger could order

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Use the box method to distribute and
simplify (-5x - 2) (5x + 4). Drag and
drop the terms to the correct locations of
the table.
( − 5x − 2)(5x+4)
You must answer all questions above
in order to submit.

Answers

Create a table with the place values for the first and second factors down the left and the top and bottom, respectively.

What is the box method?

Multiplication using the box method: Create a table with the place values of the first and second factors down the left and the top and bottom, respectively. Second step: multiply the place values and add the results to the table. Step 3: Add up all of the table's rows. Step 4: Add the sums of these rows.

Placing the first word in the first box and the last term in the last box is the first step in utilizing the box technique to factor a trinomial. Multiply the first and last boxes after that. Identify the first and last boxes' products, which together make up the middle word. Put these words in the remaining spaces.

Here's how you can use the box method to distribute and simplify the expression:

( -5x - 2 ) ( 5x + 4 )

⇒-5x -2

⇒5x 4

⇒-25x^2 -10x + 20x - 8

⇒-25x^2 + 10x - 8

So the simplified expression is:

-25x^2 + 10x - 8.

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5 units right and 2 units up pre image, and image

Answers

The translation rule that defines a translation 5 units right and 2 units up is given as follows:

(x,y) -> (x + 5, y + 2).

What is a translation?

A translation is a movement to a graph or figure in which only the position of the figure changes, either left, right, up or down, keeping the inclination, orientation and congruence.

The translations are represented as follows:

Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.

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Select all the expressions which are equivalent to -5/2z-5/6

Answers

All the expressions which are equivalent to -5/2z-5/6 are given below.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

-(5/2)z - 5/6

Simplifying,

-(5/2)z - 5/6,

= -5(z/2 + 1/6) is an equivalent expression.

= -5/2 (z + 1/3) is an equivalent expression.

Therefore, -5(z/2 + 1/6) and -5/2 (z + 1/3) are the equivalent expressions

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8 of the tables at Joy's Italian Restaurant are full and the other 13 tables are empty. What is the ratio of the number of empty tables to the total number of tables?

Answers

The ratio of the number of empty tables to the total number of tables 13:21.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 8 of the tables at Joy's Italian Restaurant are full

13 tables are empty

The total number of tables in the restaurant are 8+13=21

We have to find ratio of the number of empty tables to the total number of tables

Empty tables = 13

Total number of tables=21

Ratio of the number of empty tables to the total number of tables 13:21

Hence, the ratio of the number of empty tables to the total number of tables 13:21.

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a light post casts a shadow on a small boy. the boy, who is 4 feet 6 inches tall, notices that his shadow is 3 feet 4 inches long. he decided that if he measures how far he is from the light post, he can determine how tall the post is from the ground. explain how he can figure out the height of the light post. use mathematical reasoning.

Answers

The small boy can use the mathematical reasoning of similar triangles and the concept of ratios to determine the height of the light post.

Similar triangles are triangles that have the same shape but can have different sizes. In this case, the shadow of the boy, the boy himself, and the light post form similar triangles.

Let h be the height of the light post, x be the distance between the boy and the light post, and s be the length of the shadow, we can use the following ratios -

(boy's height) / (boy's shadow) = (light post height) / (light post shadow)

i.e. (4 feet 6 inches) / (3 feet 4 inches) = (h) / (x)

Now, we can find the height of the light post by using the above equation and the given values of the boy's height and the shadow.

The small boy can measure the distance between him and the light post, and he can use this value in the above equation to determine the height of the light post. The equation is h/x = (4.5)/(3.33)

This is the ratio of the height of the light post and the distance between the boy and the light post, so h = (4.5 * x) / (3.33)

In this way, the small boy can use the mathematical reasoning of similar triangles and the concept of ratios to determine the height of the light post.

Answers

The probability of choosing a perfect cube is [tex]\frac{7}{502}[/tex] .

According to the question,

Suppose a number is chosen at random from the set {0,1,2,3,...,501}.

Cube of 1=1

Cube of 2=8

Cube of 3=27

Cube of 4=64

Cube of 5=125

Cube of 6 = 216

Cube of 7 = 343

Cube of 8 = 512

So in a set of members {0,1,2,3,... 501}, only 7 numbers are a cube of a natural number: 1,8,27,64,125,216,343.

The probability of selecting cubes in a set of members {0,1,2,3,... 501} is

= [tex]\frac{7}{502}[/tex]

So, the probability is [tex]\frac{7}{502}[/tex] .

Answers

Applying combination, the number of playlist is: 75,435.

How to Apply Combination to Solve a Problem?

A combination is a way of selecting a certain number of items from a larger set, without regard to the order of the items.

The number of possible playlists would be the number of ways to select 7 songs out of 20 without regard to order, which is commonly known as a combination.

The formula for combination is nCr, where n is the total number of items and r is the number of items being chosen at a time. So in this case, the number of possible playlists would be 20C7.

This can also be written as 20!/(7!*13!)

The answer is 75,435

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Mary decided to look at new and used cars. Mary found a used car for $10000. Mary found that she paid 40% of the price of a new car. How much would a new car cost

Answers

Answer: i don't know sorry 99

Step-by-step explanation:

56+80

Evaluate. Write your answer as a whole number or as a simplified fraction. 5/2–2 =

Answers

Answer: 1.25 or 1, 1/4

5/2 -2
= 2.5 - 2
= 0.5

The answer is 0.5 or 1/2

which is the equation of the line with slope 3 and y-intercept 5

Answers

Answer:

y=3x+5

Step-by-step explanation:

an equation is always

y= slope*x + intercept so y=3x+5

Think about what you know about breaking apart numbers with addition. Fill in each box. Use words,numbers. and picture. Show as many ideas as you can.

Answers

The breaking apart numbers with addition help us to solve an addition more efficient than left-to-right addition.

What is addition?

Addition in math is a process of combining two or more numbers.

Given that, think about what you know about breaking apart numbers with addition.

What is it?

Breaking apart an addend is a mental math strategy for addition. Some students may find this method more efficient than left-to-right addition.

What I know about it?

This strategy involves breaking up one addend in an equation into more manageable parts.

Examples :-

1) 32 + 46 =

Breaking the second term 46 in 40 + 6

32 + 40 + 6

= 72 + 6

= 78

2) 89 + 73 =

Breaking the second term 73 into 70 + 3

89 + 70 + 3

= 159 + 3

= 162

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Examine the following scales.

The correct reading to all possible significant figures is:

Answers

The sum of the two given is 7.867.

When expressed in scientific notation, the number of significant figures equals the number of digits. Significant figures are the numbers that give any measurement meaning.

The decimal point is marked by leading zeros. They don't matter much. After the decimal point, a trailing zero is reliably known. It is important. In a whole number, every non-zero number has importance.

You must keep in mind these three guidelines in order to ascertain how many significant figures are present in a number.

Digits that are not zero are always important.Any zeros in the range of two significant digits are noteworthy.ONLY the following zeros in the decimal part matter.

If you add 4.667 g and 3.2 g,

the answer has 4 significant figures.

The sum of the two given is 7.867.

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The full question:

If you add 4.667 g and 3.2 g how many significant figures does the answer have

Help me pls it’s due tomorrow and pls have a explanation!!

Answers

Answer:

Okay so the answer would be 8 cups

Step-by-step explanation:

the reason this is is because if you combine the cups its 2 2/3 so then all you have to do is multiply it by 3 and then your answer is 8 cups of sugar

Mr. Ramirez is always trying to clean up his garage. He has 1/5 liter of oil in one can and 2 5 liter of oil in another can. How much will he have if he pours them both into one can URGENT PLEASE ANSWER

Answers

The total amount of oil he would have if he pours them both in a can is 2.7 liters.

How much oil would he have?

In order to determine the amount of oil he would have, add both numbers together. In order to add the numbers, both numbers have to be in the same form. One of the numbers is a decimal and the other is a fraction.

In order to convert the fraction to a decimal, divide the numerator by the denominator.

1/5 = 0.2

Total number of oil = 0.2 + 2.5 = 2.7 liters

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