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3 years ago

The sum of two consecutive integers is at most 3. what is the greatest possible value for the greater integer?

1 answer:

8 0

2 consecutive integers...x and x + 1

x + x + 1 < = 3
2x + 1 < = 3
2x < = 3 - 1
2x < = 2
x < = 1

x + 1 = 1 + 1 = 2.......the greatest possible value for the greatest integer is 2

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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?

$~$

Solution:

$~$

<u>Using formula: </u>

$~$

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

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

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

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

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Hence,

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

7 0

3 years ago

Estimate the square root of 150 to the nearest tenth.

muminat

the answer is 12.2 for 150 rounded to nearest tenth

5 0

3 years ago

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-Dominant- [34]

Answer:

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Step-by-step explanation:

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