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ArbitrLikvidat [17]
3 years ago
7

How to solve division with exponents

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
In division, exponents with the same base are subtracted.
example:
\frac{x^4}{x^2} = x^2  \\  \\   \frac{ x^{3}  y^{2} }{ x^{6} y}  =  \frac{y}{ x^{3} }  \\  \\ Negative-exponents \\  \\  x^{-2} =  \frac{1}{ x^{2} }
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What is the total number of people in the eight households? a.16. B. 64. C.14. D.48
Annette [7]

Answer: 48

Step-by-step explanation:

Here's the complete question:

The mean number of people per household in eight households is six people. what is the total number of people in the eight households?

First and foremost,we should note that mean means the average of a given set of numbers.

Since the mean number of people per household in eight households is six people, the total number of people in the eight households would be calculated by multiplying 6 by 8. This would be:

= 6 × 8

= 48 people

7 0
3 years ago
The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Find midpoint of CD C=(10,-1)and D=(6,3)
antoniya [11.8K]

Answer:

(8,1)

Step-by-step explanation:

The x coordinate of the midpoint is

(10+6)/2 = 16/2  =8

The y coordinate  of the midpoint is

(-1+3)/2 = 2/2 =1

The midpoint is (8,1)

6 0
3 years ago
Math question (working too, if possible)
Alecsey [184]
0.015 x 600 =9 so more than expected
7 0
3 years ago
25/50 as a percentage
kakasveta [241]
50%, if you put it into a calculator 25/50 gives you .50, move decimal 2 times to the right to get 50.
3 0
3 years ago
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