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vesna_86 [32]
3 years ago
6

The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 60 m, find its length and width

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

Length=17

Width=13

Step-by-step explanation:

The general formula for calculating the perimeter of a rectangle is 2(l+w)

L=length

W=width

But this value is not given specifically in the question,so we will have to interpret the question

So let solve this

Let the length of the rectangle be x

The width is 4m longer than the length,4+x

So let's solve

2(x+4+x)=60

2(2x+4)=60

4x+8=60

Substrate 8 from both sides

4x=52

Let's make x the subject of formula by dividing both sides by 4

x=13

So the width is 13

Let's calculate the length

4+x

4+13

17

Length=17

Width=13

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Answer:

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Step-by-step explanation:

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7-(-5) = 12

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Which expression is equivalent to (2^1/2 2^3/4)^2
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Answer:

\sqrt{2^5}

Step-by-step explanation:

2^{1/2} × 2^{3/4} = 2^{5/4}

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Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he b
valina [46]

Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

 

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

eqtn 2:  7 x + 2 y + z = 30.40

eqtn 3:  4 x + z = 14.45

 

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

 

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

 

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

- 3 x + 36.37 = 30.40

- 3 x = - 5.97

x = 1.99

 

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

 

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

 

 

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

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3 years ago
Find the missing values in the ratio table below.
Nataliya [291]
  • <em>Answer:</em>

<em>attachment</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>trucks/cars = 2/3 = x/9 = 30/y</em>

<em>x = 2×9/3 = 18/3 = 6</em>

<em>y = 3×30/2 = 90/2 = 45</em>

<em>Good luck ! </em>

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3 years ago
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