12 days ago

A new high school opens in a thriving suburban community. The number of students signed up to attend the school in its first yea

r is 532, and the population of students is predicted to increase at a rate of 16% per year. Which inequality can the high school use to determine the number of years, t, until the student population is larger than 2,025?

Mathematics

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1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms? Round your answer t

AnnZ [12381]

The weight of an orangutan is 64.5 kilograms

Solution:

It is stated that the orangutan's weight is 142 pounds

Additionally,

1 kilogram is approximately 2.2 pounds

We will now convert 142 pounds into kilograms

1 kilogram = 2.2 pounds

$\text{1 pound } = \frac{1}{2.2} \text{ kilograms }$

As a result, 142 pounds translates to

$142 \text{ pound } = \frac{1}{2.2} \times 142 \text{ kilogrmas }$

$\rightarrow \frac{1}{2.2} \times 142 = 64.545 \text{ kilograms }$

When rounding to the nearest tenth, we obtain 64.5 kilograms

Therefore the mass of the orangutan is 64.5 kilograms

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3 months ago

Which expression can be used to convert 100 USD to Japanese yen?

Zina [12379]

Because

1 USD = 113.83 Japanese Yen

To convert 100 USD: 100 × 113.83 Japanese Yen

Therefore 100 USD = 11,383.00 Japanese Yen

5 0

3 months ago

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The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best inte

AnnZ [12381]

Let

s--------> denote the cube's side length

We know that

the volume of a cube is calculated as

$V(s)= s^{3}$

if the side length s measures $2\ feet$

then

$s=2\ feet$

and thus, the volume is defined as

$V(2)= 2^{3}$

$V(2)= 8\ feet^{3}$

This leads us to conclude

the correct option is

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

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4 months ago

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