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VARVARA [1.3K]
3 years ago
7

JoAnn works in a publicity office at the state university. She is paid $13.50 an hour for the first 35 hours she works each week

and $20.25 an hour for every hour after that. If she makes $675.00 one week, how many hours did she work?
Mathematics
2 answers:
Yanka [14]3 years ago
4 0

Answer:

44 hours

Step-by-step explanation:

13.50 × 35 = 472.5

675 - 472.5 = 184.5

184.5 ÷ 20.25 = 9.1

9.1 + 35 = 44.1

rounded to 44

natali 33 [55]3 years ago
4 0

Answer:

JoAnn worked for the week = 45 hours

Step-by-step explanation:

JoAnn paid $13.50 an hour for the first 35 hours each week.

$20.25 each hour after 35 hours.

The equation is

35*13.50 +20.25x = 675, where "x" represents the number of hours she worked after 35 hours.

472.50 + 20.25x = 675

20.25x = 675 - 472.50

20.25x = 202.50

x = 202.50/20.25

x = 10

JoAnn worked for the week = 35 + 10 hours

JoAnn worked for the week = 45 hours.

That's the answer.

Hope you will understand the concept.

Thank you.

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geniusboy [140]

Answer:  \sqrt{2}/2 which is Choice B

This is the same as writing \frac{\sqrt{2}}{2}

The second "2" is not under or inside the square root.

==========================================================

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, \sin(45^{\circ}) = \frac{\sqrt{2}}{2}

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve x^2+x^2 = 1 for x and you should get x = \frac{\sqrt{2}}{2} as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

6 0
2 years ago
Approximately how many times greater is 6 x 10^-5 than 5 x 10^-9
8_murik_8 [283]

Answer: 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.


Step-by-step explanation:

We are given two numbers.

First number  : 6 \times 10^{-5}.

Second number : 5 \times 10^{-9}.

In order to find how many times   6 \times 10^{-5} is greater than 5 \times 10^{-9}, we need to divide first number by second number.

Therefore,

6 \times 10^{-5} ÷ 5 \times 10^{-9}

or \frac{6 \times 10^{-5}}{5 \times 10^{-9}}

First we would divide 6 by 5.

On dividing 6 by 5, we get 1.2.

Now, we would divide 10^-5 by 10^-9.

In order to divide them, we can apply quotient rule of exponents \frac{a^m}{a^n} =a^{m-n}.

We get

\frac{10^{-5}}{10^{-9}}  = 10^{-5-(-9)} = 10^{-5+9} = 10^4.

Therefore,

\frac{6 \times 10^{-5}}{5 \times 10^{-9}} = 1.2 \times 10^4.

So, we could say finally 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.

8 0
3 years ago
3/4 liter of water in a bottle. if you drink 1/2 of the water, how many liters did you drink​
Lapatulllka [165]

For this case we have that initially the bottle contains \frac {3} {4}of liter of water.

If a person drinks \frac {1} {2} of the contents of the bottle we have:

\frac {\frac {3} {4}} {2} =\\\frac {3 * 1} {4 * 2} =\\\frac {3} {8}

Thus, the person drinks \frac {3} {8} liters of water.

Answer:

The person drinks\frac {3} {8} liters of water.

7 0
3 years ago
Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation
pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m  -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

<u>Equating (1) ans(2)</u>

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m=\frac{30}{6}

<u>=>m=5</u>

It will take 5 months for Jason to weigh the same as Gerardo

5 0
3 years ago
Which value for x makes the sentence true?<br><br> 18x = 360
aniked [119]

Answer:

X=20

Step-by-step explanation:

360/18=20

3 0
3 years ago
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