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3 years ago

Which is the correct first step in solving the inequality -4(2x-1)>5-3x algebraically?

1 answer:

3 0

The correct first step is to distribute the -4 into 2x - 1. This will result in -8x + 4 > 5 - 3x. Now, the next step is to solve for the equation. This results in:
-5x + 4 > 5
-5x > 1
x < -0.2
Hope this helps!

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Write the percent as a fraction 77.5%

zysi [14]

77.5%

Change to decimal:-

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775/1000

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3 years ago

The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

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To Find:

What is the volume of this prism?

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Solution:

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<u>Using formula: </u>

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$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

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Substituting values in the formula:

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$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

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Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

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$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

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Hence,

Volume of prism is <u>3/4 inch^3</u>

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Answer:

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