Math / Numbers & Operations

QuestionConvert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

Studdy Solution

STEP 1

What is this asking? We need to convert a speed from miles per hour to feet per second and round to the nearest whole number. Watch out! Don't forget there are 5280 feet in a mile and 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour).

STEP 2

1. Convert miles to feet.
2. Convert hours to seconds.
3. Calculate feet per second.
4. Round to the nearest whole number.

STEP 3

We're given 20 miles per hour.
Let's convert the miles to feet!
Since there are 5280 feet in 1 mile, we multiply:
$20 \text{ miles} \cdot \frac{5280 \text{ feet}}{1 \text{ mile}} = 105600 \text{ feet}$

STEP 4

So, 20 miles is equivalent to 105,600 feet.
Awesome!

STEP 5

Now, let's convert hours to seconds.
We know there are 60 minutes in an hour and 60 seconds in a minute.
So, we multiply:
$1 \text{ hour} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}} \cdot \frac{60 \text{ seconds}}{1 \text{ minute}} = 3600 \text{ seconds}$

STEP 6

Therefore, 1 hour is the same as 3600 seconds.
Fantastic!

STEP 7

We have 105,600 feet and 3600 seconds.
To find the speed in feet per second, we divide the number of feet by the number of seconds:
$\frac{105600 \text{ feet}}{3600 \text{ seconds}}$

STEP 8

Let's do the division:
$\frac{105600}{3600} = 29.333... \text{ feet/second}$

STEP 9

So, the speed is approximately 29.333... feet per second.
Almost there!

STEP 10

We need to round 29.333... to the nearest whole number.
Since the digit after the decimal point (3) is less than 5, we round down.

QuestionConvert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

Studdy Solution

STEP 1

What is this asking? We need to convert a speed from miles per hour to feet per second and round to the nearest whole number. Watch out! Don't forget there are 5280 feet in a mile and 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour).

STEP 2

1. Convert miles to feet.
2. Convert hours to seconds.
3. Calculate feet per second.
4. Round to the nearest whole number.

STEP 3

We're given 20 miles per hour.
Let's convert the miles to feet!
Since there are 5280 feet in 1 mile, we multiply:
$20 \text{ miles} \cdot \frac{5280 \text{ feet}}{1 \text{ mile}} = 105600 \text{ feet}$

STEP 4

So, 20 miles is equivalent to 105,600 feet.
Awesome!

STEP 5

Now, let's convert hours to seconds.
We know there are 60 minutes in an hour and 60 seconds in a minute.
So, we multiply:
$1 \text{ hour} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}} \cdot \frac{60 \text{ seconds}}{1 \text{ minute}} = 3600 \text{ seconds}$

STEP 6

Therefore, 1 hour is the same as 3600 seconds.
Fantastic!

STEP 7

We have 105,600 feet and 3600 seconds.
To find the speed in feet per second, we divide the number of feet by the number of seconds:
$\frac{105600 \text{ feet}}{3600 \text{ seconds}}$

STEP 8

Let's do the division:
$\frac{105600}{3600} = 29.333... \text{ feet/second}$

STEP 9

So, the speed is approximately 29.333... feet per second.
Almost there!

STEP 10

We need to round 29.333... to the nearest whole number.
Since the digit after the decimal point (3) is less than 5, we round down.

STEP 11

Rounding down gives us 29.
Perfect!

STEP 12

20 miles per hour is approximately equal to 29 feet per second.

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QuestionConvert as indicated. 20 miles per hour === \qquad feet per second □\square□ feet per second (Round to the nearest whole number.)

Studdy Solution

STEP 1

What is this asking? We need to convert a speed from miles per hour to feet per second and round to the nearest whole number. Watch out! Don't forget there are 5280 feet in a mile and 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour).

STEP 2

1. Convert miles to feet.2. Convert hours to seconds.3. Calculate feet per second.4. Round to the nearest whole number.

STEP 3

We're given **20 miles per hour**.Let's **convert the miles to feet**!Since there are **5280 feet in 1 mile**, we multiply:20 miles⋅5280 feet1 mile=105600 feet 20 \text{ miles} \cdot \frac{5280 \text{ feet}}{1 \text{ mile}} = 105600 \text{ feet} 20 miles⋅1 mile5280 feet​=105600 feet

STEP 4

So, **20 miles** is equivalent to **105,600 feet**.Awesome!

STEP 5

STEP 6

Therefore, **1 hour** is the same as **3600 seconds**.Fantastic!

STEP 7

We have **105,600 feet** and **3600 seconds**.To find the speed in feet per second, we divide the number of feet by the number of seconds:105600 feet3600 seconds \frac{105600 \text{ feet}}{3600 \text{ seconds}} 3600 seconds105600 feet​

STEP 8

Let's do the division:1056003600=29.333... feet/second \frac{105600}{3600} = 29.333... \text{ feet/second} 3600105600​=29.333... feet/second

STEP 9

So, the speed is approximately **29.333... feet per second**.Almost there!

STEP 10

We need to **round 29.333... to the nearest whole number**.Since the digit after the decimal point (3) is less than 5, we round down.

STEP 11

Rounding down gives us **29**.Perfect!

STEP 12

20 miles per hour is approximately equal to 29 feet per second.

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Studdy solves anything!

Start learning now

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

QuestionConvert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

1. Convert miles to feet.
2. Convert hours to seconds.
3. Calculate feet per second.
4. Round to the nearest whole number.

We're given 20 miles per hour.
Let's convert the miles to feet!
Since there are 5280 feet in 1 mile, we multiply:
$20 \text{ miles} \cdot \frac{5280 \text{ feet}}{1 \text{ mile}} = 105600 \text{ feet}$

So, 20 miles is equivalent to 105,600 feet.
Awesome!

Therefore, 1 hour is the same as 3600 seconds.
Fantastic!

We have 105,600 feet and 3600 seconds.
To find the speed in feet per second, we divide the number of feet by the number of seconds:
$\frac{105600 \text{ feet}}{3600 \text{ seconds}}$

Let's do the division:
$\frac{105600}{3600} = 29.333... \text{ feet/second}$

So, the speed is approximately 29.333... feet per second.
Almost there!

We need to round 29.333... to the nearest whole number.
Since the digit after the decimal point (3) is less than 5, we round down.

Rounding down gives us 29.
Perfect!