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allochka39001 [22]
3 years ago
13

-20t^5u^2v^3 ———————- 48t^7u^4v

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

B. \frac{-5v^2}{12t^2u^2}\\

Step-by-step explanation:

Recall:

\frac{a^x}{a^y} = a^{x -y}\\

a^{-x} = \frac{1}{a^x}\\

Solution:

\frac{-20t^5u^2v^3}{48t^7u^4v} \\ \frac{-20}{48} \cdot t^{5 -7} u^{2 -4} v^{3 -1} \\ -\frac{5}{12} \cdot t^{-2} u^{-2} v^2 \\ -\frac{5v^2}{12t^2u^2}

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Mark got 20% raise for his salary. If this salary was $1800 what is the new salary
elena-14-01-66 [18.8K]
Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

= 360.

Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D


7 0
3 years ago
To factor 9x^2-16 you can first rewrite the expression as:
natka813 [3]
I hope this helps you

4 0
4 years ago
Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the sno
Zanzabum

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of \frac{1}{3}, so the snow melted in x hours will be \frac{1}{3}x.

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

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To find the depth of snow after 3 hours we will substitute x=3 in our expression.

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Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

3 0
4 years ago
Read 2 more answers
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The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040

These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.

In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72

P(5, 5) = 5 x 4 x 3 x 2 x 1 
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4 years ago
What is the area of the regular hexagon shown?
andreyandreev [35.5K]

Answer:

584.57

Step-by-step explanation:

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