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MAXImum [283]
3 years ago
11

Translate the following verbal statement into an algebraic expression. Use x for your variable.

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer:

<u>x²/11 + 8</u>

Step-by-step explanation:

We can decipher this algebraic expression going step by step.

1) "Eight more", meaning +8 (we can add this on later).

2) The "quotient of a number (x) squared and eleven", a quotient by definition means the answer to a quantity divided by another. The quantity in this case being x² divided by 11 (so, x²/11).

3) We can combine both of these, getting x²/11 + 8.

Your expression is x²/11 + 8.

- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.

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An artist makes a scale drawing of a new lion enclosure at the zoo. The scale is 1 in : 25 ft. On the drawing, the length of the
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Answer:

The actual length of the lion enclosure is <u>181.25 feet</u>.

Step-by-step explanation:

Given:

An artist makes a scale drawing of a new lion enclosure at the zoo.

The scale is 1 in : 25 ft.

On the drawing, the length of the enclosure is 7.25 inches.

Now, to find the actual length of the lion enclosure in feet.

Let the actual length of the lion enclosure in feet be x.

<em>As given the  scale is 1 in : 25 ft.</em>

<em>So, 1 in is equivalent to 25 ft.</em>

<em>Thus, 7.25 inches is equivalent to </em>x.<em />

Now, to get the actual length of the lion enclosure by using cross multiplication method:

\frac{1}{25} =\frac{7.25}{x}

<em>By cross multiplying we get:</em>

x=181.25\ feet.

Therefore, the actual length of the lion enclosure is 181.25 feet.

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Step-by-step explanation:

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During which method of separation is one of the components of the mixture lost?
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Answer:

0≥x<4

Step-by-step explanation:

first, let's look at this number line.

there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).

these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.

x is in the middle of this compound inequality.

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