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Margarita [4]
3 years ago
15

Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a

n exponential expression to find how much carpet she needs.
Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer: She needed 144 square feet of carpet.

Step-by-step explanation:

Given : Maria is buying new carpet. Her bedroom is in the shape of a square.

The length of each side is 12 feet.

We know that the area of square = (side)^2

So , the area of the bedroom = (12)^2  [which is an exponential expression]

Simplify it

The area of the bedroom = 12\times12=144\ \text{ft}^2

Also, the carpet she needed = Area of the bedroom.

Thus , She needed 144 square feet of carpet.

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Question 4 i need help on!!
MrMuchimi

Answer:

C  20

Step-by-step explanation:

Set up equations:

Laguna's Truck Rentals

y = 2x + 20

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.

Salvatori's Truck Rentals

y = 3x

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).

Set the equations equal to each other:

2x + 20 = 3x

<em>Why would you do this?</em>

We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.

Solve:

2x + 20 = 3x

Subtract 2x on both sides:

2x + 20 = 3x

-2x           -2x

20 = x

When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.

Hope this helps :)

4 0
3 years ago
Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes
Tatiana [17]

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional.  This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

8 0
3 years ago
Read 2 more answers
Evaluate using the order of operations ( 8/9-1/3)x2/3
slamgirl [31]
(8/9-3/9)*2/3=5/9*2/3=10/27
5 0
3 years ago
Which compound inequalities have the solution set represented by the given graph? Check all that apply
Contact [7]

We check with each options

'Or' represents the intersection of two graphs

'And' represents two separate graphs'

We have two separate shaded part in the given graph

So we ignore the options that has 'and' in between

LEts check first  and second option

\frac{x}{2}=13

Simplify the first part and second part

multiply both sides by 2 .

x < 2  or  4x - 2 > = 26

solve 4x-2 > = 26

add 2 on both sides and then divide both sides by 4

4x >= 28

x >= 7

So solution is x<2 or x>=7 . that is the graph on number line

Lets check with second option

3x-3<3  or  2x+8>=22

add 3 on both sides

3x < 6

divide both sides by 3

so x< 2

2x+8>=22

subtract 8 on both sides

2x >= 30

divide both sides by 2

x >= 15

x<2  or x>=15 that does not satisfies the graph

So option A is correct



7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1.
Sedbober [7]

Answer:

B)Y=3

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
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