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3 years ago

15

Which expressions are equivalent to 4^-2 times 7^-2

1 answer:

Harlamova29_29 [7]3 years ago

7 0

Step-by-step explanation:

$= {4}^{ - 2} \times {7}^{ - 2}$

$= {(4 \times 7)}^{ - 2}$

$= {28}^{ - 2}$

$= \frac{1}{ {28}^{2} }$

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There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch

OverLord2011 [107]

Answer:

The number of students that bring their lunches is 12

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8

$\frac{x}{y}=\frac{3}{8}$

$x=\frac{3}{8}y$ -----> equation A

$y=32$ -----> equation B

substitute the value of y in equation A and solve for x

$x=\frac{3}{8}(32)$

$x=12$

therefore

The number of students that bring their lunches is 12

6 0

3 years ago

I am ust typing this so it will let me post this But Please Help

andre [41]

Answer:

${4}^{3} = 64$

Step-by-step explanation:

$\frac{ {4}^{8} }{ {4}^{5} } = {4}^{3}$

Subtract the numerator exponent from the denominator exponent.

$8 - 5$

4 0

2 years ago

What is f(-3) if f(x) = 12x + 1] + 5?<br><br> Α. 0<br><br> B. 10<br><br> C. 12<br><br> D. -10

alexgriva [62]

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3 years ago

Find each quotient. Write in simplest form. keep answer as fraction - not decimal

kirill [66]

So we are given the expression:

$\frac{mn^{2}}{4}$ ÷ $\frac{m^{2}n}{8}$

When we divide fractions, we must flip the second term and change the sign to multiplication:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}$

And then we multiply across:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}$

Then we can break apart all of the like variables for simplification:

$\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}$

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

$\frac{8}{4} =2$

$\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}$

$\frac{n^{2}}{n}=n^{1}=\frac{n}{1}$

So then we multiply all of these simplified parts together:

$\frac{2}{1}*\frac{1}{m}*\frac{n}{1} =\frac{2n}{m}$

So now we know that the simplified form of the initial expression is: $\frac{2n}{m}$ .

3 0

2 years ago

What is the percent of increase from 5,000 to 7,000?

Otrada [13]

Answer:

40%

Step-by-step explanation:

3 0

2 years ago