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noname [10]
4 years ago
5

The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L

ist answer as follows: width, length.
Mathematics
1 answer:
Len [333]4 years ago
6 0

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

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Step-by-step explanation:

Given the points

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We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

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substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

y=mx+b

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The probability of selecting a lollipop other than grape is given by :_

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Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

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