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Fynjy0 [20]
3 years ago
9

Write (8a^3)^ -2/3 in simplest form. All steps are needed!!

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0
Answer:1/(2a)^2
Steps:
(8a^3)^ -2/3
=1/(8a^3)^ 2/3
=1/(2^3 × a^3)^ 2/3
=1/(2a)^3×2/3
=1/(2a)^2
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There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders
galina1969 [7]

Answer:

g+300-700-700=1500, g=2600

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500.  Hence we get

g+300-700-700=1500

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

g+300-700-700+700+700-300=1500+700+700-300

And so g=2600

4 0
3 years ago
Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to t
Delicious77 [7]

9514 1404 393

Answer:

  3 minutes

Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

  (walking speed)(walking time) = (driving speed)(driving time)

  5(x +21) = (8·5)(x)

  x +21 = 8x . . . . . . . . . divide by 5

  21 = 7x . . . . . . . . subtract x

  3 = x . . . . . . .divide by 7

It takes Alysha 3 minutes to drive home from the market.

3 0
3 years ago
In triangle ABC, m&lt;A = 30° and m&lt;B = 50°. What is the measure of Angle C?<br><br>​
Nataliya [291]

Answer:

100°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

180°-30°-50°=100°

8 0
2 years ago
Molly takes orders for a landscape company. On Thursday, she takes an order for an 1/8 of a ton of palm trees. On Friday, the cu
Oksana_A [137]

4/8 or to simplify 1/2 a ton X)

How you a doin?

3 0
3 years ago
The answer would be “Yes” right? Just double checking :)
elena-14-01-66 [18.8K]

Answer:

yes

Step-by-step explanation:

its correct because opposite sides are parallel

7 0
3 years ago
Read 2 more answers
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