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Alexxx [7]
3 years ago
14

The length of a rectangle is 5 inches longer than it is wide. If the perimeter is 38 inches, what are the dimensions of the rect

angle?
The width, or shorter side is ______
inches.

The length, or longer side is _____
inches.
Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

shorter side = 7 in

longer side = 12 in

Step-by-step explanation:

Let w = width

then w + 5 = length

The perimeter of the rectangle = 2 widths + 2 lengths.

So, w + w + w + 5 + w + 5 = 38  or 2w +2(w + 5) = 38 are two ways to write the equation to solve the problem.

Now 4w + 10 = 38

4w = 28

w = 7

w + 5 = 7 + 5 = 12

shorter side = 7 in

longer side = 12 in

Check:  7 + 7 + 12 + 12 = 38 = perimeter

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AleksandrR [38]
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore 
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms 
106D+42=996
106D=954
D=954/106=9

9 Dollar bills

N=D+5
N=(9)+5=14

14 Nickels

P=N+12
P=(14)+12=26

26 Pennies

26*1+14*5+9*100=996

Final answer:
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14 Nickels
26 Pennies
8 0
4 years ago
Can someone help me, I don't understand.
irina [24]

Answer:

the answer is C.

Step-by-step explanation:

If there was a line under the less than symbol then it would be A because it can be equal to 250 or below but it is C because it is just below 250.

4 0
3 years ago
The ends of the base of an isoceles triangle are
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Find the missing side round to the nearest 10th please help
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Step-by-step explanation:

Number 3

cos∅ = adj/hyp

cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

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x = 20/tan37°

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Answer

a. True

Step-by-step explanation:

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H_0 = Smoking rate is equal to 27\%.

H_1 = Smoking rate is not equal to 27\%.

We will reject the null hypothesis (H_0) if the estimate doesn't fall into the confidence interval for the college students smoking rate.

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