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2 years ago

The perimeter of a standard-sized rectangular rug is 28 ft. the length is 2 ft longer than the width. find the dimensions.

Mathematics

1 answer:

Solnce55 [7]2 years ago

5 0

28=(2+x)+x
-2 -2
_________
26=x+x
26=2x
Divide both by 2
13=x
length=15 width=13

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Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Further Explanation:

Given:

Carmen has $\$ 30$ in store bucks.

A $25\%$ discount coupon for a local department store.

The total amount should be less than $\$ 60$ before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has $\$ 30$ in store bucks.

The new amount will be $\left( {A - 30} \right).$

There is a $25\%$ discount coupon for a local department store.

The amount after discount can be calculated as follows,

$\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}$

The total amount should be less than $\$ 60$ before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

$\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}$

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

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2 years ago

Read 2 more answers

Please help me !

miv72 [106K]

List out the multiples of 8

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

I'm going to highlight in bold the values between 20 and 50

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

So the favorable outcomes, aka the outcomes we want, are: {24, 32, 40, 48}

These four values are all divisible by 8. Also, these values are between 20 and 50.

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2 years ago

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2 years ago

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2 years ago

The perimeter of a​ standard-sized rectangular rug is 28 ft. the length is 2 ft longer than the width. find the dimensions.

The perimeter of a standard-sized rectangular rug is 28 ft. the length is 2 ft longer than the width. find the dimensions.