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vekshin1
3 years ago
13

Stan's, Mark's, and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their

ages is 114. Find their ages.
Mathematics
1 answer:
Elenna [48]3 years ago
6 0

We know that Stan's, Mark's, and Wayne's ages are consecutive whole numbers.

Also sum of their ages is 114.

Let X be the Stan's age, Y be the Mark's age and Z be the Wayne's age.

X+Y+Z=114

37+38+39 = 114

So the Stan's age is 37, Mark's age is 38 and Wayne's age is  39

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The correct answer is option A which is the number of cars sold for the price range of $4000 to $4999 will be 15.

<h3>What is a histogram?</h3>


A histogram is a graph for the representation of the data on the plot of the rectangular boxes. It has the data sets on the horizontal and the vertical axes.

As we can see from the histogram data we will conclude that the price range of $4000 to $4999 is shown by the third block and this third block reaches the height of 15.

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2 years ago
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Viktor [21]

9514 1404 393

Answer:

  • A: j = 25 +55h
  • B: m = 50 +30h
  • 1 hour

Step-by-step explanation:

We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:

  j = 25 +55h

Job B is the charge at Myron's shop. Similarly, that charge is ...

  m = 50 +30h

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The two charges are equal when ...

  j = m

  25 +55h = 50 +30h

  25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation

  h = 1 . . . . . . . . . . divide by 25

The charges are the same at the two shops for 1 hour worked.

_____

<em>Additional comment</em>

You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.

__

In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.

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