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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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3 years ago
Solve for x. Round to the nearest hundredth
PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

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We need to determine the value of x.

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cos \ \theta=\frac{adj}{hyp}

Substituting the values, we get;

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Simplifying, we have;

x=\frac{6}{cos \ 45^{\circ}}

x=\frac{6}{0.766}

Dividing, we get;

x\approx7.83

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0
3 years ago
Please helpppp ty giving brain liest trying to get more:)
olya-2409 [2.1K]
The answer I believe would be 3/4

Remember to count from point to point using rise/run

I hope this helped :D
8 0
2 years ago
Read 2 more answers
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

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

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
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liberstina [14]

Let the number be x.

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or, x/6+3 = 12

or, x/6 = 12-3

or, x/6 = 9

or, x = 9 × 6

or, x = 54

The number is 54.

4 0
2 years ago
Read 2 more answers
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