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asambeis [7]
1 year ago
5

You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 33 hours this week and e

arn $594.78.
What is your normal hourly rate?
1.5
Mathematics
1 answer:
erma4kov [3.2K]1 year ago
6 0

The normal hourly rate is <u>$17.24</u>.

In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.

We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.

We assume the normal hourly rate to be $x.

While working for 33 hours, we work 33 - 30 = 3 extra hours.

Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.

Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.

But, we are given that the total earnings for the week after working for 33 hours is $594.78.

Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.

Thus, the normal hourly rate is <u>$17.24</u>.

Learn more about the normal hourly rate at

brainly.com/question/18800313

#SPJ9

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4 0
3 years ago
Find the area bounded by the graphs of the indicated equations over the given interval.
NeX [460]

Answer:

48

Step-by-step explanation:

y = 0

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

y =  {x}^{2}  - 25

We then get

\frac{ {x}^{3} }{3}  - 25x

Evaluate at -3

\frac{ - 3 {}^{3} }{3}  - 25( - 3)

- 27 + 75 = 48

Then we evaluate at 0

\frac{0 {}^{3} }{3}  - 25(0) = 0

Next, we subtract the the answer then we get

48 - 0 = 48

8 0
2 years ago
Y-x=15 y-x=5 using elimination
Galina-37 [17]

Answer:

No solution

Step-by-step explanation:

To eliminate is to get rid of one of the variables.

You can choose to either add each term in the equations or subtract each term in the equation.

For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.

Try adding them.

.     y - x = 15

<u>+    y - x = 5</u>

2y - 2x = 20   No variables were eliminated.

Try subtracting.

.     y - x = 15

<u>-     y - x = 5</u>

0y - 0x  = 10   All variables were eliminated.

.         0 = 10     This is false.

This system of equations cannot be solved.

Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.

3 0
3 years ago
This graph represents Andre's distance from his bicycle
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True

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False

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5 0
3 years ago
Leslie made a chocolate milkshake in the blender for her daughter milkshake occupies just a little more than 50 in.³ of space in
Butoxors [25]

Answer:

Glass A is too small, Glass B is large enough and Glass C is too small ....

Step-by-step explanation:

Glasses are cylindrical in shape. Thus the formula is:

V = π r² h

For Glass A:

r = d/2 = 3.5/2

r = 1.75

h = 4 inches

Now substitute the values in the formula:

V= 3.14*(1.75)^2 * 4

V= 3.14*3.0625*4

V= 38.465 in.³ < 50in.³

For Glass B:

V = π r² h

where h = 5 inches

r = 1.9 inches

Plug the values in the formula:

V=3.14*(1.9)^2*5

V= 56.677 in³ > 50in³

For Glass C:

V = π r² h

where h=6 inches

r = 1.5 inches

Plug the values in the formula:

V= 3.14*(1.5)^2*6

V= 42.39 in³ < 50 in³

Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....

4 0
3 years ago
Read 2 more answers
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