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olga2289 [7]
3 years ago
11

Katie babysits for her neighbor and charges a certain amount per hour. She also charges 1.5 times as much for any hours after 8p

m. If she is hired from 4pm until 1am and makes a total of $92, how much does she charge per hour?
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0
4 p.m to 8 p.m is 4 hrs.....so she worked 4 regular hrs
8 p.m. to 1 a.m is 5 hrs...she she worked 5 hrs for 1.5 times as much

4x + 5(1.5x) = 92
4x + 7.5x = 92
11.5x = 92
x = 92 / 11.5
x = 8 <==== so she charged $ 8 per hr from 4 pm. to 8 pm.  and (8 * 1.5) = $ 12 per hr for hrs after 8 p.m
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Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

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Length = 2x

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192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

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Divide through by 2

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Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

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Divide both sides by (x^2 + 6x + 24).

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So,

(x - 4) = 0

x = 4

Width = x = 4 inches

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= 2(4)

= 8 inches

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= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

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Answer: 52.94

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