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3 years ago

Determine the unit rate of a marathon runner who travels 15/2 miles in 1/4 hour

2 answers:

8 0

Hi there.

First, let's convert the improper fraction to a mixed number. Then we'll find out how much 1/4 of an hour actually is.

15/2 = 7 1/2

1/4 of 60 = 15

So far, the marathon runner can run 7 1/2 miles in 15 minutes.

To find the unit rate, we multiply both by 4.

7 • 4 = 28

1/2 • 1/2 = 2

Add these and you'll get 30.

15 minutes • 4 = 60

The unit rate is:

30 miles per hour (not sure how to write this using miles)

Dafna1 [17]3 years ago

6 0

Your answer will be 15/2 miles

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Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

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$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

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$\frac{x}{y}=3^{2}$

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3 years ago

Diego wants to find 4 1/5 - 7/10 .. Explain why he must rename 4 1/5 in order to do the subtraction?

nevsk [136]

Answer:

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

Step-by-step explanation:

These are the steps Diego should follow to find 4 1/5 - 7/10:

Step 1: Convert all mixed numbers into improper fractions.

4 1/5 = 21/5 - 7/10

Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.

21/5 = 42/10 - 7/10

Step 3: Add or subtract the numerators and keep the denominator the same.

42 - 7 = 35/10

Step 4: If the answer is an improper form, reduce the fraction into a mixed number.

35/10 = 3 5/10 = 3 1/2

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

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3 years ago

Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

AlladinOne [14]

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

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Therefore x=0 and y=2

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2=0+c

Then, c=2

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Then, m=2/3

Then, the slope of the graph is 2/3

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