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babymother [125]
3 years ago
5

Write the following comparison as a ratio reduced to lowest terms. 10 nickels to 11 dimes

Mathematics
1 answer:
Simora [160]3 years ago
5 0
<span>10 nickels to 11 dimes
 
10 nickels to 11*2 nickels
 
10 nickels to 22 nickels
 
10 nickels: 22 nickels
 
10:22
 
5:11
 
\frac{5}{11}</span>
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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

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\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

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\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
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WARRIOR [948]
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3 years ago
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Answer:

$308

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5 0
3 years ago
Read 2 more answers
Which are equivalent expressions?
polet [3.4K]

Answer:

Which are equivalent expressions?

Check all that are true.

y + x = 2x

x + x + x + x = 4x (true)

x + x = 2x (true)

x + y + y + x = 2x + 2y (true)

x + y + x + x = 2x + y

Step-by-step explanation:

4 0
3 years ago
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