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3 years ago

12

Stu counted the lines of a page in his book. Counting by three gave a remainder of 2, counting by fives also gave a remainder of

2, and counting by sevens gave a remainder of 5. How many lines were on the page?

1 answer:

nirvana33 [79]3 years ago

6 0

47

6*7=42
15*3=45
9*5=45

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It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

Tju [1.3M]

Answer:

The volume of the rectangular prism is <u>19.25 inches³</u>.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $\frac{1}{2}\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.$

<em>Thus, the volume of a cube is </em> $\frac{1}{8} \ inch^3.$ <em />

<em>Number of cubes = 154.</em>

<u><em>According to question, it takes 154 cubes to fill the rectangular prism.</em></u>

<u><em>So, to get the volume of prism we need to find the volume of 154 cubes.</em></u>

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

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Using the number 0,4,9 what is the smallest number you can create

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A $500 couch is marked up 20%. What is the new price of the couch?

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BigorU [14]

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to get an A, she needs >=160 points and she already has 125 points

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3 years ago

Read 2 more answers