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docker41 [41]
3 years ago
12

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practice

s? Solve using unit rates.
Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

63 miles

Step-by-step explanation:

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?

2 track practices = 18 miles

7 track practices = y miles

Cross Multiply

2 track practices × y miles = 18 miles × 7 track practices

y miles = 18 miles × 7 track practices/ 2 track practices

y miles = 63 miles.

Therefore, Bonnie will have run 63 miles after 7 track practices

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2 years ago
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
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Answer:

  (a)  On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

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Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

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3 years ago
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This table represents the number of inches, n, a plant grows after m, months in a new pot.
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Answer: Slope = 5/4

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Step-by-step explanation:

We have the table:

Months, m            Plant height in inches, n

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2                           4.5

4                            7

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We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

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Slope = 5/4

y-intercept = 2

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