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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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You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two e
Alenkinab [10]

First, let's count:

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there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)

the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):

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5 0
3 years ago
Can someone please help me solve this?
Akimi4 [234]
A. This is the original equation: 2x + 3 - 1 = x + 5

b. 2x + 2 = x + 5 ← combined like terms on left side 
    2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
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answer x = 3

c. 2(3) + 3 - 1 = 3 + 5
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4 0
3 years ago
One zero of f(x)=x^3-2x^2-5x+6 is 1 what are other zeros of the function
elena-s [515]

Answer:

The other zeros are -2 and 3.

Step-by-step explanation:

As 1 is a zero then (x - 1) is a factor so we divide:

x - 1 )x^3-2x^2-5x+6(x^2-x-6

        x^3-x^2

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              -x^2+x

                      -6x+6    

                      -6x+6

                       ...........

x^2 - x - 6 = 0

(x - 3)(x + 2)

x = -2, 3.

7 0
3 years ago
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To solve this, we simply need to remember our rules about order of operations. They tell us that first, we should distribute the 2 with the rest of the parentheses.

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Seeing as we do not know the value of the variable, the simplest form of the expression is 11-2x.
3 0
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