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Darya [45]
2 years ago
13

the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 76in. Find its length and widt

h
Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

The length and the width of the rectangle are 22 inches and 16 inches respectively

<h3>How to determine the length and the width of the rectangle?</h3>

The given parameters are:

Length = 6 inches + width

Perimeter = 76 inches

The perimeter is calculated as:

Perimeter = 2 * (Length + Width)

This gives

76 inches = 2 * (6 inches + Width + Width)

Divide through by 2

38 inches = 6 inches + Width + Width

Evaluate the like terms

2 * Width = 32 inches

Divide both sides by 2

Width = 16 inches

Substitute Width = 16 inches in Length = 6 inches + width

Length = 6 inches + 16 inches

Evaluate

Length = 22 inches

Hence, the length and the width of the rectangle are 22 inches and 16 inches respectively

Read more about perimeters at:

brainly.com/question/24571594

#SPJ1

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Its 181.3 u just put p and r
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3 years ago
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th
Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?  

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / \frac{5}{2}m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = \frac{5}{2}m

Volume of the large fridge = \frac{5\times 2}{2} = 5m³

Ratio of the volumes of the large and regular fridge = \frac{5}{2}=2.5:1

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0
3 years ago
Please solve if so thank you
Advocard [28]

Answ#$%^&* Im just joking but is that the hole Question thank you

Step-by-step explanation:

6 0
3 years ago
amy ordered a shirt online that cost her $22 total.the package arrived late so the seller took 10% off the price. how much did s
Eva8 [605]
22 ÷ .10
=2.2

22 - 2.2 = 19.80

She had to pay $19.80.
5 0
3 years ago
Solve the system of equations by substitution 3x+y=9z
poizon [28]

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>

<em>3x+y=9.............................. equation 1</em>

<em>3( 1.27) + 5.18 = 9</em>

<em>3.81 + 5.18 = 9</em>

<em>9 = 9</em>

3 0
3 years ago
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