Solved on Jan 08, 2024

Diane has ridden $42$ miles of a $70$ -mile bike course. What percentage of the course has she ridden?

STEP 1

Assumptions
1. Diane has ridden 42 miles of the bike course.
2. The total length of the bike course is 70 miles.
3. We need to find the percentage of the course that Diane has ridden.

STEP 2

To find the percentage of the course that Diane has ridden, we will use the formula for percentage:
$Percentage = \left( \frac{Part}{Whole} \right) \times 100$

STEP 3

The "Part" in this context is the distance Diane has ridden, which is 42 miles.

STEP 4

The "Whole" in this context is the total length of the course, which is 70 miles.

STEP 5

Now, we will plug in the values for "Part" and "Whole" into the percentage formula.
$Percentage = \left( \frac{42\,miles}{70\,miles} \right) \times 100$

STEP 6

Simplify the fraction by dividing 42 by 70.
$Percentage = \left( \frac{42}{70} \right) \times 100$

STEP 7

Calculate the simplified fraction.
$Percentage = \left( \frac{3}{5} \right) \times 100$

STEP 8

Convert the fraction to a decimal.
$Percentage = 0.6 \times 100$

STEP 9

Calculate the percentage.
$Percentage = 0.6 \times 100 = 60$
Diane has ridden 60% of the bike course so far.

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Diane has ridden $42$ miles of a $70$ -mile bike course. What percentage of the course has she ridden?

STEP 1

Assumptions
1. Diane has ridden 42 miles of the bike course.
2. The total length of the bike course is 70 miles.
3. We need to find the percentage of the course that Diane has ridden.

STEP 2

To find the percentage of the course that Diane has ridden, we will use the formula for percentage:
$Percentage = \left( \frac{Part}{Whole} \right) \times 100$

STEP 3

The "Part" in this context is the distance Diane has ridden, which is 42 miles.

STEP 4

The "Whole" in this context is the total length of the course, which is 70 miles.

STEP 5

Now, we will plug in the values for "Part" and "Whole" into the percentage formula.
$Percentage = \left( \frac{42\,miles}{70\,miles} \right) \times 100$

STEP 6

Simplify the fraction by dividing 42 by 70.
$Percentage = \left( \frac{42}{70} \right) \times 100$

STEP 7

Calculate the simplified fraction.
$Percentage = \left( \frac{3}{5} \right) \times 100$

STEP 8

Convert the fraction to a decimal.
$Percentage = 0.6 \times 100$

STEP 9

Calculate the percentage.
$Percentage = 0.6 \times 100 = 60$
Diane has ridden 60% of the bike course so far.

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Diane has ridden 424242 miles of a 707070-mile bike course. What percentage of the course has she ridden?

STEP 1

Assumptions1. Diane has ridden 42 miles of the bike course.2. The total length of the bike course is 70 miles.3. We need to find the percentage of the course that Diane has ridden.

STEP 2

To find the percentage of the course that Diane has ridden, we will use the formula for percentage:Percentage=(PartWhole)×100Percentage = \left( \frac{Part}{Whole} \right) \times 100Percentage=(WholePart​)×100

STEP 3

The "Part" in this context is the distance Diane has ridden, which is 42 miles.

STEP 4

The "Whole" in this context is the total length of the course, which is 70 miles.

STEP 5

Now, we will plug in the values for "Part" and "Whole" into the percentage formula.Percentage=(42 miles70 miles)×100Percentage = \left( \frac{42\,miles}{70\,miles} \right) \times 100Percentage=(70miles42miles​)×100

STEP 6

Simplify the fraction by dividing 42 by 70.Percentage=(4270)×100Percentage = \left( \frac{42}{70} \right) \times 100Percentage=(7042​)×100

STEP 7

Calculate the simplified fraction.Percentage=(35)×100Percentage = \left( \frac{3}{5} \right) \times 100Percentage=(53​)×100

STEP 8

Convert the fraction to a decimal.Percentage=0.6×100Percentage = 0.6 \times 100Percentage=0.6×100

STEP 9

Calculate the percentage.Percentage=0.6×100=60Percentage = 0.6 \times 100 = 60Percentage=0.6×100=60Diane has ridden 60% of the bike course so far.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Diane has ridden $42$ miles of a $70$ -mile bike course. What percentage of the course has she ridden?

Assumptions
1. Diane has ridden 42 miles of the bike course.
2. The total length of the bike course is 70 miles.
3. We need to find the percentage of the course that Diane has ridden.

To find the percentage of the course that Diane has ridden, we will use the formula for percentage:
$Percentage = \left( \frac{Part}{Whole} \right) \times 100$

Now, we will plug in the values for "Part" and "Whole" into the percentage formula.
$Percentage = \left( \frac{42\,miles}{70\,miles} \right) \times 100$

Simplify the fraction by dividing 42 by 70.
$Percentage = \left( \frac{42}{70} \right) \times 100$

Calculate the simplified fraction.
$Percentage = \left( \frac{3}{5} \right) \times 100$

Convert the fraction to a decimal.
$Percentage = 0.6 \times 100$

Calculate the percentage.
$Percentage = 0.6 \times 100 = 60$
Diane has ridden 60% of the bike course so far.