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kolbaska11 [484]
3 years ago
5

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week

.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
A. W = 10x

B. S = 10x + 15y...or S = 10x + 15(x - 40)

C. 10(40) + 15y = 490
      400 + 15y = 490
      15y = 490 - 400
      15y = 90
      y = 90/15
      y = 6

so he worked 40 regular hrs and 6 overtime hrs
     
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KatRina [158]

You can use the fact that  a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got a^{-b} . then it can be rewritten as

a^{-b}  = \dfrac{1}{a^b}

It is because a^0 = 1 for any a except 0, and that  \dfrac{a^0}{a^b} = a^{0-b} = a^{-b}

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is \dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}

Putting m = -5 and n=3, we get:

\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}

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The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

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4 0
2 years ago
Canine hip dysplasia is a degenerative disease that causes pain in many dogs. Sometimes advanced warning signs appear in puppies
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<h2>Answer with explanation:</h2>

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z* = Critical z-value.

Let p be the proportion of puppies area found with early hip dysplasia.

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Hence, the plus four confidence interval for p = (0.0484, 0.256)

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Answer:

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1. Describe the possible inputs of S(n) using words. (2 points: 1 point for the description, 1 point for the list of numbers)

2. Describe the possible outputs of S(n) using words. (1 point)

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5. What numbers are in the range of S(n)? Explain what this means. (2 points: 1 point for the range, 1 point for the explanation)

Evaluate the Conjecture

6. Based on the mapping diagram, is it possible that the player rolled a number other than 3 to land on square 8? If so, which number or numbers? Explain your answer. (2 points: 1 point for the answer, and 1 point for the explanation)

Defining Functions

7. Does the mapping diagram you created for S(n) for the first turn of the game represent a function? Why or why not? (2 points: 1 point for the answer, and 1 point for the explanation)

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2 years ago
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