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3 years ago

8

A man receives a rate of $3.00 per hour for a 40-hour work week. If he receives 1.5 times the regular rate for overtime, how muc

h will he earn working a 50-hour week?

1 answer:

kondor19780726 [428]3 years ago

3 0

Answer:

I NEED THE SAME ANSWER

Step-by-step explanation:

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Solve for x. 2 ( x + 1 ) = 12

Evgen [1.6K]

2 ( x + 1 ) = 12

Use distributive property:

2x + 2 = 12

Subtract 2 from both sides:

2x = 10

Divide both sides by 2:

X = 5

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I believe it's 75% but i'm not positive.

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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i

sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or $\frac{8}{12}$ ft

= $\frac{2}{3}$ ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= $\frac{11}{12}$ ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k( $\frac{2}{3}$ )

k = 18

Work done (W) to stretch the spring by $\frac{11}{12}$ ft will be

W = $\int\limits^\frac{11}{12} _0 {kx} \, dx$

= $\int\limits^\frac{11}{12} _0 {(18x)} \, dx$

= $18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0$

= 9( $\frac{11}{12}$ )²

= 7.56 lb-ft

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Which number line below shows points labeled correctly from least to greatest?

Misha Larkins [42]

Answer: C

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