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jasenka [17]
3 years ago
13

Jane is paid 14.85 an hour for regular 40 hour work week. her overtime pay for any hours over 40 per week is 1.5 times her regul

ar hourly rate. this past week and Jane earned $727.65 in total pay. how many hours of overtime did she work this past week?
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Around 6 hours (exact decimal would be 5.99865). I did this by multiplying 14.85*40 (getting 594). After that, I subtracted 594 from 727.65 (getting 133.65), then multiplying 14.85 by 1.5, getting 22.28, and then, I did 133.65/22.28, getting 5.99865, which I rounded to 6.

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Simplify the expression. Write your answer using only positive exponents (3t^-4)
yaroslaw [1]

Answer:

\frac{3}{t^{4}}

Step-by-step explanation:

x^-y=1/(x^y) so 3t^-4=3/(t^4)

3 0
3 years ago
Jasmin, Quinn, and Maddy are rock climbing. Jasmin is 42 ½ feet below Quinn. Maddy is 67 ¾ feet above Jasmin. What is Maddy's po
ladessa [460]

Answer:

25\frac{1}{4} feet

<em />

Step-by-step explanation:

Given

Maddy = 67\frac{3}{4} above Jasmin

Jasmin = 42\frac{1}{2} below Quinn

Required

Determine Maddy's position relative to Quinn's

From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)

Using the attachment as a point of reference;

z = 67\frac{3}{4}

x = 42\frac{1}{2}

The relationship between x, y and z is

z = y + x

Make y the subject of formula

y = z - x

Substitute the values of z and x

y = 67\frac{3}{4} - 42\frac{1}{2}

Convert to improper fractions

y = \frac{271}{4} - \frac{85}{2}

Take LCM

y = \frac{271 - 170}{4}

y = \frac{101}{4}

y = 25\frac{1}{4}

<em>Hence; Maddy's position relative to Quinn's is </em>25\frac{1}{4}<em> feet</em>

8 0
4 years ago
The circumference of great circle of a hemisphere is 44 cm. find the total surface area of the hemisphere​
max2010maxim [7]

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

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3 years ago
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Step-by-step explanation: trust me took the final yesterday ‍♀️

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Answer:

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Step-by-step explanation:

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