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spin [16.1K]
2 years ago
8

The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

must be produced so the cost will be no more than $387?
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
5 0

Answer:

193650

Step-by-step explanation:

Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x

Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650

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Mario walked at a rate of 2/3 miles every 10 minutes what is his unit rate every mile per hour
Dmitry_Shevchenko [17]

Mario's unit rate is given by 900 miles/hour.

Explanation:

We have been given that Mario walked at a rate of 2/3 miles every 10 minutes.

We have the relation between speed, time and distance, which is given by

\text{Speed}= \frac{\text{Distance}}{\text{Time}}

We have,

Distance = \frac{2}{3} \text{ miles}

Time = 10 minutes

On substituting these values in the above formula, we get

\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15} \text{ miles/min}[/tex]

We have to find the unit rate in mile per hour, so we need to multiply it by 60

Thus, unit rate is given by

\frac{1}{15} \times 60\\ = 4 \text{ miles/hour}

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2 years ago
The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'. 2 trapezoids are shown. Line W Y is the li
RoseWind [281]

Answer:

90

Step-by-step explanation:

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2 years ago
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The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 po
Arte-miy333 [17]
The correct answer is b.
8 0
2 years ago
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If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
1 year ago
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A candlestick contains 5 pounds of silver. Suppose silver is worth $15 per ounce.
Evgen [1.6K]

Step-by-step explanation:

1 pound = 16 ounces

5 pound = 16 x 5 = 80

Cost per ounce = 15

Cost of 80 ounces = 15 x 80 = 1200

Option D is the correct answer

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2 years ago
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