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german
2 years ago
12

Mariah's earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a m

ovie theater. State this rate in two different ways, and describe the difference.
Mathematics
1 answer:
weeeeeb [17]2 years ago
7 0

Answer:

<u>dollars per hour rate = $10</u>

<u>hours per dollar = 6 minutes 15 seconds</u>

Step-by-step explanation:

Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).

If we divide \frac{10}{60 minutes} = $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.

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Sin(x) is a function bounded between -1 and 1. A value greater than 1 or smaller than -1 (-1.1, for instance) does not correspond to any real angle.

It then returns error

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2 years ago
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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

4 0
2 years ago
The average electricity bill for Lynn’s home is $64.50 per month with a standard deviation of $8.20. In June she received a bill
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This bill is about 4.21 standard deviations below the mean value.

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The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant?
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Answer:

c

Step-by-step explanation:

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2 years ago
Samantha went to a concession stand and bought three pretzels and four sodas and paid a total of $11.25 for them. Raza went to t
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Answer:

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Let's assume that the price of each pretzel is x and the price of each soda is y

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Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y

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Now subtract equation 2 from 1

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4y = 16.5 - 7.5

4y = 9

Y = 2.25

Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25

8 0
2 years ago
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