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Mademuasel [1]
3 years ago
12

The length of a rectangle is 2 feet longer than the width. the perimeter is 28 feet. find the dimensions of the rectangle.

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
Perimeter=2l+2w

28=2l+2w
l=w+2

Substitute for l
28=2(w+2)+2w
28= 2w+4+2w
28=4w+4
24=4w
6=w

Plug the w value in
l=6+2
l=8

Final answer: Length=8 ft, Width=6 ft
You might be interested in
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base diameter of 6cm? Round to the nearest tenths pla
SVETLANKA909090 [29]

Answer:

It is about 537.2

Step-by-step explanation:

V= π · r^2 · h

V= π · 3^2 · 19

V≈ 537.2

6 0
3 years ago
1. Simplify:<br>4(4y-7y^{2})-9(5y+2)<br><br>2. Simplify:<br>24 – 4(5y – 6z) + 3y – 7z
Greeley [361]

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:



STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

4 0
3 years ago
Josefina pain rent for 5 months. She paid a total of $2045. how much did she pay per month?
djverab [1.8K]

Answer:

$409 per month

Step-by-step explanation:

If josefina paid $2045 over a time period of 5 months, then we have to divide how much she paid ($2045) by 5 to find out how much she paid for rent in 1 month.

We can use the equation: 2045 ÷ 5

When we solve that equation, we get 409 which means that josefina paid $409 per month for rent.

(sorry if this is confusing but I hope it helped)

8 0
3 years ago
3x to the 2 power -17+2x+5-x
rewona [7]

Answer:  =3x^{2^{x-12}}

Step-by-step explanation:

3x^{2^{-17+2x+5-x}}

Simplify:

=3x^{2^{x-12}}

5 0
3 years ago
I need some help on this thanks!!!<br><br><br><br><br><br><br><br> -
Alexxandr [17]

Answer:

The 4th option, 10g + 24 = t

Step-by-step explanation:

It costs 24 dollars per month no matter what.

$10 * the amount of GB you want

Add those two values to get the total cost per month.

In this case you want 5 GB, so substitute the g in the equation for 5. You will get:

10 * 5 +24 = t

50 + 24 = t

74 = t

So it costs 74 dollars per month to get 5 GB.

3 0
3 years ago
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