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Lorico [155]
3 years ago
14

What is the solution for -4x - 10 ≤ 2?

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

x>=-3

Step-by-step explanation:

-4x-10<=2

-4x<=2+10

-4x<=12

x<=12/-4

x<=-3

x>=-3

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Answer:

x = 21/5 (4 1/5

Solve:

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

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3 years ago
Sasha makes a wooden base for a sculpture with the dimensions shown.
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C? if im wrong so sorry!
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AB= 4x + 7 and BC = 20x - 5 <br> AB ~= BC
Mariana [72]

The value of the variable x is 3/4

<h3>What are congruent segments</h3>

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

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  • BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

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Make 'x' the subject of formula

x = -12/-16

x = 3/4

Thus, the value of the variable x is 3/4

Learn more about line segments here:

brainly.com/question/1388250

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2 years ago
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Total commission that Lamar got is:
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Amount that brokerage split
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Total amount Lamar received $10205
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3 years ago
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