rug area 122.12 sq ft, the rug is 8.7 ft wide. To the nearest hundredth, how many feet long is the rug?

Answers

Answer 1

Answer: Area of a rectangle formula: A=LW

substitute the values in:
122.12=L(8.7)

Solve for L. Divide by 8.7 to isolate L.

L≈14.04 feet

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How much is 500 seconds?

Answers

If I'm not mistaken I think that it is 8 minutes and 33 seconds

8 minutes and 20 seconds or 8.3333 minutes

In a trivia competition, Shannon's score was up to 900 points. Then she scored -400 points inthe automobiles category. What was her score then?

Answers

900 + (-400)
is just
900-400,
answer is 500.
anytime you ADD a negative number, it’s subtraction

Answer:

Step-by-step explanation:

Her score after the two competitions was 500

hope this answer helps you

Which is bigger, 70% of 200 or 3/4 of 160

Answers

3 / 4 of 160
I believe. I hope I could help you even a little bit.

70% of 200 would be 140, and 3/4 of 160 would be 120, so the answer is 70% of 200.

Hope this helps!

Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)
–32 + = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± = x + 5
x = –2 or x =

Answers

Answer:

x = - 2 or x = - 8

Step-by-step explanation:

Given

2(x² + 10x) = - 32 ( divide both sides by 2 )

x² + 10x = - 16

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = - 16 + 25

(x + 5)² = 9 ( take the square root of both sides )

x + 5 = ± $√(9)$ = ± 3 ( subtract 5 from both sides )

x = - 5 ± 3, thus

x = - 5 + 3 = - 2 or x = - 5 - 3 = - 8

Explain how you could use a number line to solve 70-50

Answers

You can use a number line to to solve this problem by moving the places

So you would make your number line from 0 to 100 and each step on the number line would be 10. So go to 70 and count the number of steps needed to get to 50. Then take that number (2) and multiply it by 10 because each step was 10. So the anwser is 20

Evaluate the following exponential expressions. A. -4²

B. (-2)³

C. (-2)⁴

D. 1000⁰

E. 566¹

Answers

A.
$-4^2 = (-1)(4)^2 = (-1)(16) = \boxed{-16}$

B.
$(-2)^3 = -2 * -2 * -2 = 4 * -2 = \boxed{-8}$

C.
$(-2)^4 = (-2)^3 * -2 = -8 * -2 = \boxed{16}$

D.
$1000^0 = \boxed{1}$

E.
$566^1 = \boxed{566}$

-4² : given
= - (4 * 4) = -16 : expand and calculate

(-2)³ : given
= (-2)*(-2)*(-2) = -8 : expand and calculate

1000⁰ : given
= 1000⁰ = 1 : definition: any nonzero number to the power zero gives 1

566¹ : given
= 566¹ = 566

(-2)⁴ : given
= (-2)³ × -2 = -8 × -2 = 16

Hope I helped! :)

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