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3 years ago

Solve for the variable. 3/4x = -24

Mathematics

2 answers:

sleet_krkn [62]3 years ago

8 0

Hello!

Answer:

$\huge\boxed{x = -32}$

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

sattari [20]3 years ago

5 0

Answer:

x = -32

Step-by-step explanation:

To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.

3/4x = -24 Multiply by 4 on both sides of the equation.

4(3/4)x = -4(24) Distribute.

3x = -96 Divide by 3 on both sides of the equation.

x = -32

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The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square

Temka [501]

Answer:

The area of square A is 256 cm²

Step-by-step explanation:

<em>The four sides of a square are equal in length</em>
<em>Area of a square = side × side</em>

In the given figure

∵ The sides of the square E = 2 cm each

∵ The sides of the square F = 2 cm each

∵ The side of square D is the sum of the sides of squares E and F

∴ The sides of the square D = 2 + 2 = 4 cm each

∵ The side of square C is the sum of the sides of squares E and D

∴ The sides of square C = 2 + 4 = 6 cm each

∵ The side of square B is the sum of the sides of squares C, E, and F

∴ The sides of square B = 6 + 2 + 2= 10 cm each

∵ The side of square A is the sum of the sides of squares B, F, and D

∴ The sides of square A = 10 + 2 + 4= 16 cm each

∵ Area of square A = side × side

∴ Area of square A = 16 × 16

∴ Area of square A = 256 cm²

∴ The area of square A is 256 cm²

3 0

2 years ago

What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? Write your answer rounded to the neare

Butoxors [25]

Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Whats a triangle with 3 congruent sides called

dexar [7]

Answer:

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Step-by-step explanation:

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ANEK [815]

Answer:

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8 0

3 years ago

Solve for the variable. 3/4x = -24​

Solve for the variable. 3/4x = -24