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Natali [406]
3 years ago
15

If the width of a rectangle is 3 yards less than it’s length and the perimeter is 130 yards, what is the length and the width.

Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer: P=130

2W +2L=130

2(31) + 2(34)=130

W=31

L=34

Step-by-step explanation:

P=130

2L + 2W

W=L-3

Add all of the sides together to get perimeter.

2(L-3) + 2L=130

2L-6+2L=130

4L-6+6=130+6

4L=136

4L/4=136/4

L=34

W=L-3

W=34-3

W=31



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Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5

Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.

So this means y-7x=143/14.

We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:

y-x=44.5
y-7x=143/14

Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7

Since y-x=89/2
We get y - 40/7 = 89/2
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8 0
3 years ago
How to solve -4{1-2x}-1=7x
mina [271]

Answer:

<h2>x = 5</h2>

Step-by-step explanation:

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7 0
3 years ago
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Anna35 [415]

Answer:

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Step-by-step explanation:

2(8r + 5) = 24 + 9r

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3 years ago
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Mrac [35]

Question

x+5/x+2 - x+1/x²+2x

Answer:

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Step-by-step explanation:

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We factorise the second denominator to give us :

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Veronika [31]

The value of a is D)73 I think because 180-107 since a straight line is 180 u just subtract the angle from it. hope this helps.

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