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3 years ago

Hayley walked 15 miles in 9 hours. What was her walking rate in miles per hour?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

8 0

1.6666666 miles per hour hope this helps

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Which expressions have a value of 16/81? Check all that apply.

lana [24]

Which expression have a value of 16/81? check all that apply. (2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

Answer:

First and last option is correct.

$(\frac{2}{3})^{4}=\frac{16}{81}$

$(\frac{4}{9})^{2}=\frac{16}{81}$

Step-by-step explanation:

Given:

There are four options.

(2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

We need to check all given options for value of 16/81.

Solution:

Using rule.

$(\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}$

Solve for option $(\frac{2}{3})^4$ .

$(\frac{2}{3})^{4}=\frac{2^4}{3^4}=\frac{2\times 2\times 2\times 2}{3\times 3\times 3\times 3}=\frac{16}{81}$

Solve for option $(\frac{16}{3})^4$ .

$(\frac{16}{3})^{4}=\frac{16^4}{3^4}=\frac{16\times 16\times 16\times 16}{3\times 3\times 3\times 3}=\frac{65536}{81}$

Solve for option $(\frac{4}{81})^2$ .

$(\frac{4}{81})^{2}=\frac{4^2}{81^2}=\frac{4\times 4}{81\times 81}=\frac{16}{6561}$

Solve for option $(\frac{4}{9})^2$ .

$(\frac{4}{9})^{2}=\frac{4^2}{9^2}=\frac{4\times 4}{9\times 9}=\frac{16}{81}$

Therefore, expression $(\frac{2}{3})^4$ and $(\frac{4}{9})^2$ have a value of $\frac{16}{81}$ .

6 0

3 years ago

What is the solution of the following system of equations?<br> 2x + y = -7<br> -3x - 2y = 10

pentagon [3]

Answer:

the solution is (-4, -3)

Step-by-step explanation:

Multiply the first equation by 2. This produces 4x + 2y = -14.

Now combine this result with the second equation:

4x + 2y = -14

-3x - 2y = 10

------------------

x = -4

Subbing -4 for x in the first equation yields 2x - 4 = -7, or 2x = -3.

Then x = -3/2, and the solution is (-4, -3)

8 0

3 years ago

PLEASE ANSWER! (I’m a noob with this app, so all I know is that whoever answers a Q correctly will get brainliest)

klasskru [66]

Answer: 2 Exermintal proobilty

Step-by-step explanation:

it is nit theritcal because she actualy has the beans.

5 0

3 years ago

Classify the system correctly <br> Y = 5x +2<br> 10x - 2y = 12

s344n2d4d5 [400]

Answer:

It's a simultaneous equation because it as two solution

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

An anchor is released from a boat and begins sinking. Its

Andrew [12]

you multiply -10 and nine and you get -90 hope this helps.

Step-by-step explanation:

6 0

3 years ago