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il63 [147K]
3 years ago
10

Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,

to the number of hours, x? 0.02 57.5 287.5 5
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

  57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

  y = kx

It can be found from values of x and y using ...

  k = y/x

For the given values, it is ...

  k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

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the sum of two numbers is 104. the larger is one less than twice the smaller number. find the numbers
exis [7]

Answer:

The larger number is 69 and the smaller number is 35.

Step-by-step explanation:

Find the equations. Here x will be the larger number and y will be the smaller number.

x + y = 104

x = 2y -1

Substitute:

(2y -1) + y = 104

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x = 2(35) - 1

x = 70 - 1

x = 69

The larger number is 69 and the smaller number is 35.

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MrRa [10]

Put the first equation in slope-intercept form, or y = mx + b. Start by subtracting y from both sides.

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-y = -10 - 2x

Divide both sides by negative one.

y = 10 + 2x

To find the slope when the equations are in slope-intercept form you look at the coefficient of x. The first equation has the slope of 2 (which we just found), and the second equation has the slope of -2.

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7 0
3 years ago
Craig saved $3,655.11, and Yegar saved $4,190.67. How much more did Yegar save than Craig? A. $536.66
STatiana [176]
This is a simple subtraction problem, but since you are in Elementary School, I will help you out.

Subtract $4,190.67 by $3,655.11 (remember, the bigger number should come first)

 4,190.67
<span>-3,655.11
</span>         ...56

When a small number is on top of a bigger number, borrow 1 number from the number next to it (in this case, 0 is smaller than 5, so you must borrow 1 number from 9, making it to 8), then add the small number by 10 (0+0=10)
<span>Then we continue...

</span> 4,190.67
<span>-3,655.11
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Do the same thing with 4 and 1.

 4,190.67
<u>-3,655.11</u>
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<em><u>Answer: $535.56</u></em>
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