Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking. 2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking

Use The Diagram Below To Answer Questions 1-6. All Rooms Are Rectangular. 1. What Is The Value Of Side

Answers

Answer 1

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6


Related Questions

I’m being timed help!!!!!!!!!!!!!!

Answers

Answer: light blue

Step-by-step explanation: Ax + By = C

Answer:

3x - y = -2

Step-by-step explanation:

Find the value of n and YZ if Y is between X and Z.

XY = 5n, YZ = 2n, XZ = 91​

Answers

The value of n and YZ are 13 and 26 respectively

If Y is between X and Z, then:

XY + YZ = XZ

Given the following

XY = 5n

YZ = 2n

XZ = 91​

Substitute the given expressions into the formula as shown:

5n + 2n = 91

7n = 91

Divide both sides by 7

7n/7 = 91/7

n = 13

Get the measure of segment YZ

YZ = 2n

YZ = 2(13)

YZ = 26

Hence the value of n and YZ are 13 and 26 respectively

Learn more here: https://brainly.com/question/23423083

evaluate 3+jk+k^3 when j=2 and k=6

Answers

Answer:

[tex]231[/tex]

Step-by-step explanation:

[tex]3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 [/tex]

Answer:

231

Step-by-step explanation:

[tex]3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231[/tex]

What is 80% MORE than $52.50? (Brainliest for full explanation)

Answers

Answer:

$94.5

Step-by-step explanation:

What is 80% MORE than $52.50?

just multiply $52.50 by 1.80 = $94.5

why multiply by 1.80? ---- because we are adding 80% of 52.5 + the original price... that is why its 1.80.

-12+(-63)
Someone please help

Answers

Answer:

- 75

Step-by-step explanation:

-12+(-63)

=-12 - 63

= - 75

Hope this helps.. Good luck :)

p=3g-7/k solve for g(plz show work

Answers

Answer:

Step-by-step explanation:

(3g - 7)/k = p

3g - 7 = pk

3g = pk + 7

g = (pk + 7)/3

20 POINTS: If tan= 3/4, find the CSC I don't know the relationship between tan and csc, please explain your answer

Answers

Answer:

[tex]\csc(x)=5/3[/tex]

Step-by-step explanation:

So we know that:

[tex]\tan(x)=3/4[/tex]

Recall that tangent represents the side opposite over the side adjacent.

This means that the opposite side is 3 while the adjacent side is 4.

Therefore, by using the Pythagorean Theorem, we can solve for the third side, which is the hypotenuse:

[tex]a^2+b^2=c^2[/tex]

Substitute a for 3 and b for 4. Thus:

[tex]3^2+4^2=c^2[/tex]

Square and add:

[tex]9+16=c^2\\25=c^2[/tex]

Square root:

[tex]c=5[/tex]

Now, recall that cosecant is the reciprocal of sine. So, find sine first.

Sine is opposite over hypotenuse. From tangent, the opposite is 3 and the hypotenuse as we now know is 5. Thus:

[tex]\sin(x)=3/5[/tex]

And cosecant is the reciprocal of that. Thus:

[tex]\csc(x)=5/3[/tex]

And that's our answer :)

Between 10pm and 7:45am, the water level in a swimming pool decreased by 3/8 in. Assuming that the water decreased at a constant rate, how much did the water level drop each hour?

Answers

Answer:

[tex]\frac{1}{26}[/tex] inches

Step-by-step explanation:

In order to solve this problem, we need to create a ratio.

Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.

10pm + 2 hours = 12 AM

12 AM + 7.75 hours = 7:45 AM

So in total, it's 9.75 hours.

[tex]\frac{3}{8}[/tex] is the same as 0.375.

Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].

Now we can create the proportion:

[tex]\frac{1}{26}=\frac{x}{1}[/tex]

Now we solve for x by cross multiplying.

[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]

Hope this helped!

What is 7-1-299-689+478*84588

Answers

Answer:

Hey there!

7-1-299-689+478*84588

7-1-299-689+40433064

40432082

Let me know if this helps :)

Answer:

40432082

Step-by-step explanation:

hopefully this helps

A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rte in kilometers per minute? How many kilometers will the cyclist travel in 5 minutes? Do not round your answers.

Answers

Answer: 0.35km per minute

Step-by-step explanation:

Divide by 60 because it was in "km per HOUR".

how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined

Answers

Answer:

4

Step-by-step explanation:

A round wading pool has a diameter of 115\text{ cm}115 cm115, start text, space, c, m, end text and is 25\text{ cm}25 cm25, start text, space, c, m, end text deep. A hose is filling the pool at a rate of 34{,}000\text{ cm}^334,000 cm 3 34, comma, 000, start text, space, c, m, end text, cubed per minute. How long will it take to fill the pool to a depth of 20\text{ cm}20 cm20, start text, space, c, m, end text?

Answers

Answer: 6

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

got answer from Khan and ml78786maggie

Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?​

Answers

Answer:

2000

Step-by-step explanation:

Khan Academy :)

Answer:

2000

Step-by-step explanation:

bc

Explain two ways you can use a number line to order the integers –3, +1, and –10. PLEASE ASAP

Answers

Answer:

Step-by-step explanation:

From least to greatest: -10, -3, +1. From greatest to least: +1, -3, -10.

1st way: Just look at it.

2nd way: See which numbers are to the left of 0 on the number line. Those are your smaller (negative) numbers. The numbers that are on the right side of 0 are your bigger (positive) numbers.

Answer:

Order by value: On a number line, the integers to the left are less than the integers to the right. Order by magnitude: On a number line, the integers farther from zero have a greater magnitude. Least to greatest value: –10, –3, +1. Least to greatest magnitude: +1, –3, –10.

Step-by-step explanation:

Which did you include in your response? Check all that apply.

You can order by value.

You can order by magnitude.

Ordering from least to greatest value, the list is –10, –3, +1.

Ordering from least to greatest magnitude, the list is +1, –3, –10.

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day

Answers

Answer:

32

Step-by-step explanation:

$37 - 3 = 34
$34 + 1 = 35
$35 - 7 = 28
$28 + 4 = $32
The price at the end of the day would be $32.
:) hope you get a good grade.

how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined

Answers

Answer:

4

Step-by-step explanation:

ik it

Answer:

The answer is 4

Step-by-step explanation:

The answer is 4 because i did it on khan and it was right.

What is the Inverse Equation

f(x) =6x-1 ?? please I need help!​

Answers

Answer:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x-1[/tex]

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

[tex]f(x)=6x-1[/tex]

Switch:

[tex]x=6f^{-1}(x)-1[/tex]

Add 1 to both sides:

[tex]x+1=6f^{-1}(x)[/tex]

Divide both sides by 6:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

And that's our answer :)

a photo graph measuring 8cm by 6cm is enlarged by a ratio of 11 : 4 what are the dimensions of new print ?​

Answers

Answer:

22cm and 16 1/2 cm is the answer

Write the ratio as a fraction and multiply with each dimension

If a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Given the following measurement of a photograph:

8 cm by 6 cm

To enlarge the photograph using a scale factor of 11:4 (11/4), multiply the scale factor by each of the dimensions.

Thus:

8 x 11/4 = 22 cm

6 x 11/4 = 16.5 cm

Therefore, if a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Learn more here:

https://brainly.com/question/14248094

A savings account rounds the amount of money deposited to the nearest hundredths place. After tax returns on April 15th, Mulan earned
exactly $239.1639 in retums.
How much money was deposited into the savings account?
A. $200
B. $239.16
C. 236.17
D. 239.164
E. I don’t know yet

Answers

Answer:

Step-by-step explanation:

Using the digits 0-9, at most one time each, create five ordered pair that represent a linear
function that has a greater rate of change than the following (explain how u got that answer)

Answers

Answer:

(-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4)

Step-by-step explanation:

From the graph attached,

Ordered pairs which lie on the given line (-9, 0), (0, 3), (3, 4), (6, 5) and (9, 6).

Since all the points lie on the same line, rate of change of the linear function will be defined by the slope of the given line.

Slope of the line passing through (0, 3) and (3, 4) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                                                                  = [tex]\frac{4-3}{3-0}[/tex]

                                                                             [tex]m_1[/tex] = [tex]\frac{1}{3}[/tex]

Now we have to find the ordered pairs which represent a linear function having slope greater than [tex]\frac{1}{3}[/tex].

So the points will be (-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4).

Slope of the linear function passing through (-9, 0) and (-8, 1)

[tex]m_2[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

    = [tex]\frac{1-0}{-8+9}[/tex]

    = 1

Here [tex]m_2>m_1[/tex]

the data set represents the shoe sizes of 19 students in a fifth grade physical education class 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9 a. create a box plot to represent the distribution of the data

Answers

Answer:

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = 6

The second quartile, (median) Q₂ =  7

The third quartile, Q₃ = 8

The box plot showing the above data is attached

Step-by-step explanation:

The given data set is 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9

From the data, we have;

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = (n + 1)/4th term = (19 + 1)/4 = the 5th term = 6

The second quartile, (median) Q₂ = (n + 1)/2 term = (19 + 1)/2 = the 10th term = 7

The third quartile, Q₃ = 3×(n + 1)/4th term = 3×(19 + 1)/4 = the 15th term = 8

Please find the attached box plot as plotted on Excel.

What is the degree for 6p-8

Answers

The degree is one bcz p is not having and power
Hope it helps :)

Find the area of the shaded region. All measurements are in centimeters. Show your reasoning. Place your answer in the box to the right.

Answers

The answer is 1,486 meters

please helpp
me with this question and thank you

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + 4} }[/tex]

Use the formula of a² - b² = ( a + b ) ( a - b )

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} } [/tex]

Hope I helped!

Best regards! :D

Solve 48=4b-4(4b-3) and show work.

Answers

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

What is the interquartile range of the data in the box plot below?
Plz help!

Answers

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

[tex] IQR = 85 - 73 = 12 [/tex]

Simplify each expression by combining like
terms.
21a + (-18b) - 6a + 1lb

Answers

Answer:

My answer is

21a-18b-6a+11b.

which is 21a-6a-18b+11b.

=15a-7b.

is √13 greater or less than 3.5

Answers

Answer:yes it is greater

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

[tex] \sqrt{13 \: } \: is \: not \: greator \: than \: 3.5[/tex]

Because, root 13 means 3.60 also,

So, when you see 3.5 and 3.6 then it's obvious that 3.6 is greator.

Or if you see it in fractional form.

it will be,

18/5 and 7/2.

when we take a like term,

18×2/10 and 7×5/10

They will be ,

36/10 and 35/10.

Which implies 36/10>35/10.

So, the answer is root 13 is not greator than 3.5.

Hope it helps....

Which of the following circumstances would likely make completing the square th
best method for solving a quadratic equation?
The leading coefficient is 1 and the linear term coefficient is an even number
The leading coefficient is not 1 and the constant is large
The difference of 2 perfect squares
The difference of 2 perfect cubes

Answers

Answer:

The leading coefficient is 1 and the linear term coefficient is an even number

Step-by-step explanation:

Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.

Evaluate the expression 2 4/5+1/2

Answers

Answer:

3 3/10

Step-by-step explanation:

Step 1: Convert 2 4/5 to improper

2 4/5 = 14/5

Step 2: Rewrite

14/5 + 1/2

Step 3: Find common denominator

14/5(2/2) + 1/2(5/5)

28/10 + 5/10

Step 4: Add

33/10

Step 5: Simplify

3 3/10

Answer:

3 3/10

Explanation:

2 4/5 + 1/2           [change 2 4/5 to an improper fraction]

14/5 + 1/2             [make both fractions have a common denominator]

28/10 + 5/10         [add the numerators, leave the denominator the same]

33/10                    [change back into mixed number]

3 3/10

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