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dusya [7]
2 years ago
11

Let a=3/5 and let b=2/3. Compute a^2b^-3.

Mathematics
1 answer:
Amanda [17]2 years ago
7 0

Answer: 81/100



Step-by-step explanation:

I don't guarantee you I am right but..

first, solve for the exponents after substituting the numbers in

3/5 x 3/5 is 9/25

since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive

2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4

then you mutiply both numbers to get 9/4 x 9/25 is 81/100

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Question in picture above ^
Andrei [34K]
[ 4(4) x 4(3) ] / 4(5)

= [4(4+3)] / 4(5)

= 4(7) / 4(5)

= 4(7-5)

= 4(2)
5 0
3 years ago
Tom's toy box is shown below. The toy box is shaped like a rectangular prism. It has 5 wooden faces and is open on the top. What
mihalych1998 [28]

Answer:

1100 square inches

Step-by-step explanation:

The faces are all rectangles (area = length x width)

Area of bottom:  20 x 10 = 200

Area of front: 20 x 15 = 300

Area of back (same as front) = 300

Area of right side: 10 x 15 = 150

Area of left side (same as right side) = 150

Total of all the sides: 1100

8 0
3 years ago
Please help w/ #18 (10 points)
patriot [66]
Answer: y=-(1/8)x+(21/2)


Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

8 —> -1/8

Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)

Now put b back into the new equation

y=-(1/8)x+b

y=-(1/8)x+(21/2)






6 0
2 years ago
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3). <br> What is x
Zarrin [17]

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

5 0
3 years ago
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21
stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda  4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7   same as 12:21

4 0
3 years ago
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