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3 years ago

The large rectangle was reduced to create the small rectangle.

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Answer:

The ratio must be guaranteed.

Therefore,

18/6 =12/x

=> x= 6*12/18 = 4

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Choose the correct simplification of the expression 16 over n to the negative third power. n to the third power over 16 16 over

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Answer:

${16n}^{3}$

Step-by-step explanation:

We want to simplify:

$\frac{16}{ {n}^{ - 3} }$

To simplify this, we need to write the negative index as positive.

So we use the property,

$\frac{1}{ {a}^{ - n} } = {a}^{n}$

When we apply this property, we get:

$\frac{16}{ {n}^{ - 3} } = \: 16 \times \frac{1}{ {n}^{ - 3} } =16 {n}^{3}$

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What is -3 4/5 + 1 2/5 simplified?

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Answer:

-2 2/5

Step-by-step explanation:

-3 4/5 = 19/5

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3 years ago

9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.

Kamila [148]

<em>Missing Information:</em>

<em>It takes Mr. Hamilton 1/15 of an hour to grade one student’s exam and 1/30 of an hour to grade one student’s quiz.</em>

Answer:

$Total\ Time = \frac{x}{10}$

Step-by-step explanation:

Given

$Exam = \frac{1}{15}hr$

$Quiz = \frac{1}{30}hr$

Required

Determine the time spent on x students

First, we need to determine the total time spent on 1 student

$Time = Exam + Quiz$

$Time = \frac{1}{15} + \frac{1}{30}$

Take LCM

$Time = \frac{2 + 1}{30}$

$Time = \frac{3}{30}$

$Time = \frac{1}{10}$

Next is to determine the total time on x students:

$Total\ Time = \frac{1}{10} * x$

$Total\ Time = \frac{x}{10}$

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