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Strike441 [17]
3 years ago
14

The length of a rectangle is 8 ft less than three times the width, and the area of the rectangle is 35 ft. Find the dimensions o

f the rectangle.
Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:length=7 feet Width=5 feet

Step-by-step explanation:

Area=35

Length=L

Width=L

L+8=3 x w L=3w-8

Area=L x w

35=Lw

35=w(3w-8)

35=3w^2-8w

3w^2-8w-35=0

3w^2+7w-15w-35=0

w(3w+7)-5(3w+7)=0

(w-5)(3w+7)=0

w-5=0 3w+7=0

w=5 3w=-7 w=-7/3

We are only interested in The positive answer which is width =5 feet

substitute w=5 in 35=L X w

35=L x w

35=L x 5

L=35/5

L=7

Length =7 feet

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Step-by-step explanation:

Let

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Remember that

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t=d/v

so

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x/20=(180+x)/25

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or

t=(720+180)/25=900/25=36 sec

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3 years ago
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Translate the statement into an equation or inequality. The sum of 5 and a number is less than the product of the number and 7 m
RideAnS [48]

Answer:

2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

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8x=24

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x=-18-5

x=-23

5. -14=10-6x

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3 years ago
a worker can complete the assembly of 15 chairs in 6 hours. At the rate,how many can the worker complete in a 40-hour work week?
san4es73 [151]

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3 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

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