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2 years ago

6

As a lifeguard, you can earn $5 per day plus $7.50 per hour. How many hours you must work to earn $50 in one day?

1 answer:

ELEN [110]2 years ago

3 0

Answer:

Step-by-step explanation:

Earnings = 5 + 7.50x You want to earn 50.00

50 = 5 + 7.50x Set up equation

45 = 7.50x Subtract 5

45/7.50 = (7.50/7.50) x Divide by 7.5

x = 6

You need to work 6 hours.

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EXPLANATION

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1 year ago

Which ordered pair is a solution to the equation?

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3 years ago

Read 2 more answers

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2 years ago

A.Find a formula for

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a. Notice that

1/(1*2) = 1/2 = 1 - 1/2

1/(2*3) = 1/6 = 1/2 - 1/3

1/(3*4) = 1/12 = 1/3 - 1/4

and so on, which suggests the n-th term of the sum can be written as

$\dfrac1{n(n+1)}=\dfrac1n-\dfrac1{n+1}$

Then the sum itself is telescoping:

$\dfrac1{1\cdot2}+\dfrac1{2\cdot3}+\dfrac1{3\cdot4}+\cdots+\dfrac1{n(n+1)}$

$=\left(1-\dfrac12\right)+\left(\dfrac12-\dfrac13\right)+\left(\dfrac13-\dfrac14\right)+\cdots+\left(\dfrac1n-\dfrac1{n+1}\right)$

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$\dfrac1n-\dfrac1{n+1}=\dfrac{n+1}{n(n+1)}-\dfrac n{n(n+1)}=\dfrac{n+1-n}{n(n+1)}=\dfrac n{n+1}$

so the formula found in (a) is correct.

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2 years ago