Math / Numbers & Operations

QuestionCopy and complete the statement.
10. $6 \mathrm{gal} / \mathrm{min}=$ $\qquad$ $\mathrm{qt} / \mathrm{min}$
11. $5.3 \mathrm{~km} / \mathrm{h}=$ $\qquad$ $\mathrm{m} / \mathrm{h}$ Copyright $\odot$ Big Ideas Learning, LLC

Studdy Solution

STEP 1

What is this asking? We need to convert gallons per minute to quarts per minute, and kilometers per hour to meters per hour. Watch out! Remember those conversion factors!
There are $\text{4 qt}$ in $\text{1 gal}$ and $\text{1000 m}$ in $\text{1 km}$ .
Don't mix them up!

STEP 2

1. Convert gallons per minute to quarts per minute.
2. Convert kilometers per hour to meters per hour.

STEP 3

We're given $\text{6 gal/min}$ and we want to convert it to $\text{qt/min}$ .
Since there are $\text{4 qt}$ in every $\text{1 gal}$ , we'll need to multiply!

STEP 4

Multiply the given value by the conversion factor.
We're doing this to change the units from gallons to quarts.
Since there are more quarts than gallons, we expect a larger number of quarts. $6 \ \frac{\text{gal}}{\text{min}} \cdot \frac{4 \ \text{qt}}{1 \ \text{gal}}$

STEP 5

Notice how the units of $\text{gal}$ appear in both the numerator and denominator.
This means we can divide to one, leaving us with our desired units of $\text{qt/min}$ . $6 \cdot \frac{4 \ \text{qt}}{1 \ \text{min}}$

STEP 6

Calculate the result: $24 \ \frac{\text{qt}}{\text{min}}$ So, $\text{6 gal/min}$ is equal to $\text{24 qt/min}$ !

STEP 7

We have $\text{5.3 km/h}$ and we want to convert it to $\text{m/h}$ .
Knowing that there are $\text{1000 m}$ in every $\text{1 km}$ , we'll multiply again!

STEP 8

Multiply by the conversion factor to change the units from kilometers to meters.
Since there are more meters than kilometers, we anticipate a larger number of meters. $5.3 \ \frac{\text{km}}{\text{h}} \cdot \frac{1000 \ \text{m}}{1 \ \text{km}}$

STEP 9

The units of $\text{km}$ appear in both the numerator and denominator, so we can divide to one, leaving us with our desired units of $\text{m/h}$ . $5.3 \cdot \frac{1000 \ \text{m}}{1 \ \text{h}}$

STEP 10

Calculate the result: $5300 \ \frac{\text{m}}{\text{h}}$ Therefore, $\text{5.3 km/h}$ is the same as $\text{5300 m/h}$ !

STEP 11

$6 \ \text{gal/min} = 24 \ \text{qt/min}$ $5.3 \ \text{km/h} = 5300 \ \text{m/h}$

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QuestionCopy and complete the statement.
10. $6 \mathrm{gal} / \mathrm{min}=$ $\qquad$ $\mathrm{qt} / \mathrm{min}$
11. $5.3 \mathrm{~km} / \mathrm{h}=$ $\qquad$ $\mathrm{m} / \mathrm{h}$ Copyright $\odot$ Big Ideas Learning, LLC

Studdy Solution

STEP 1

What is this asking? We need to convert gallons per minute to quarts per minute, and kilometers per hour to meters per hour. Watch out! Remember those conversion factors!
There are $\text{4 qt}$ in $\text{1 gal}$ and $\text{1000 m}$ in $\text{1 km}$ .
Don't mix them up!

STEP 2

1. Convert gallons per minute to quarts per minute.
2. Convert kilometers per hour to meters per hour.

STEP 3

We're given $\text{6 gal/min}$ and we want to convert it to $\text{qt/min}$ .
Since there are $\text{4 qt}$ in every $\text{1 gal}$ , we'll need to multiply!

STEP 4

Multiply the given value by the conversion factor.
We're doing this to change the units from gallons to quarts.
Since there are more quarts than gallons, we expect a larger number of quarts. $6 \ \frac{\text{gal}}{\text{min}} \cdot \frac{4 \ \text{qt}}{1 \ \text{gal}}$

STEP 5

Notice how the units of $\text{gal}$ appear in both the numerator and denominator.
This means we can divide to one, leaving us with our desired units of $\text{qt/min}$ . $6 \cdot \frac{4 \ \text{qt}}{1 \ \text{min}}$

STEP 6

Calculate the result: $24 \ \frac{\text{qt}}{\text{min}}$ So, $\text{6 gal/min}$ is equal to $\text{24 qt/min}$ !

STEP 7

We have $\text{5.3 km/h}$ and we want to convert it to $\text{m/h}$ .
Knowing that there are $\text{1000 m}$ in every $\text{1 km}$ , we'll multiply again!

STEP 8

Multiply by the conversion factor to change the units from kilometers to meters.
Since there are more meters than kilometers, we anticipate a larger number of meters. $5.3 \ \frac{\text{km}}{\text{h}} \cdot \frac{1000 \ \text{m}}{1 \ \text{km}}$

STEP 9

The units of $\text{km}$ appear in both the numerator and denominator, so we can divide to one, leaving us with our desired units of $\text{m/h}$ . $5.3 \cdot \frac{1000 \ \text{m}}{1 \ \text{h}}$

STEP 10

Calculate the result: $5300 \ \frac{\text{m}}{\text{h}}$ Therefore, $\text{5.3 km/h}$ is the same as $\text{5300 m/h}$ !

STEP 11

$6 \ \text{gal/min} = 24 \ \text{qt/min}$ $5.3 \ \text{km/h} = 5300 \ \text{m/h}$

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QuestionCopy and complete the statement.10. 6gal/min=6 \mathrm{gal} / \mathrm{min}=6gal/min= \qquad qt/min\mathrm{qt} / \mathrm{min}qt/min11. 5.3 km/h=5.3 \mathrm{~km} / \mathrm{h}=5.3 km/h= \qquad m/h\mathrm{m} / \mathrm{h}m/h Copyright ⊙\odot⊙ Big Ideas Learning, LLC

Studdy Solution

STEP 1

What is this asking? We need to convert gallons per minute to quarts per minute, and kilometers per hour to meters per hour. Watch out! Remember those conversion factors!There are 4 qt\text{4 qt}4 qt in 1 gal\text{1 gal}1 gal and 1000 m\text{1000 m}1000 m in 1 km\text{1 km}1 km.Don't mix them up!

STEP 2

1. Convert gallons per minute to quarts per minute.2. Convert kilometers per hour to meters per hour.

STEP 3

We're given 6 gal/min\text{6 gal/min}6 gal/min and we want to convert it to qt/min\text{qt/min}qt/min.Since there are 4 qt\text{4 qt}4 qt in every 1 gal\text{1 gal}1 gal, we'll need to *multiply*!

STEP 4

STEP 5

Notice how the units of gal\text{gal}gal appear in both the numerator and denominator.This means we can divide to one, leaving us with our desired units of qt/min\text{qt/min}qt/min. 6⋅4 qt1 min6 \cdot \frac{4 \ \text{qt}}{1 \ \text{min}}6⋅1 min4 qt​

STEP 6

**Calculate the result**: 24 qtmin24 \ \frac{\text{qt}}{\text{min}}24 minqt​ So, 6 gal/min\text{6 gal/min}6 gal/min is equal to 24 qt/min\text{24 qt/min}24 qt/min!

STEP 7

We have 5.3 km/h\text{5.3 km/h}5.3 km/h and we want to convert it to m/h\text{m/h}m/h.Knowing that there are 1000 m\text{1000 m}1000 m in every 1 km\text{1 km}1 km, we'll *multiply* again!

STEP 8

**Multiply** by the conversion factor to change the units from kilometers to meters.Since there are more meters than kilometers, we anticipate a larger number of meters. 5.3 kmh⋅1000 m1 km5.3 \ \frac{\text{km}}{\text{h}} \cdot \frac{1000 \ \text{m}}{1 \ \text{km}}5.3 hkm​⋅1 km1000 m​

STEP 9

The units of km\text{km}km appear in both the numerator and denominator, so we can divide to one, leaving us with our desired units of m/h\text{m/h}m/h. 5.3⋅1000 m1 h5.3 \cdot \frac{1000 \ \text{m}}{1 \ \text{h}}5.3⋅1 h1000 m​

STEP 10

**Calculate the result**: 5300 mh5300 \ \frac{\text{m}}{\text{h}}5300 hm​ Therefore, 5.3 km/h\text{5.3 km/h}5.3 km/h is the same as 5300 m/h\text{5300 m/h}5300 m/h!

STEP 11

6 gal/min=24 qt/min6 \ \text{gal/min} = 24 \ \text{qt/min}6 gal/min=24 qt/min 5.3 km/h=5300 m/h5.3 \ \text{km/h} = 5300 \ \text{m/h}5.3 km/h=5300 m/h

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QuestionCopy and complete the statement.
10. $6 \mathrm{gal} / \mathrm{min}=$ $\qquad$ $\mathrm{qt} / \mathrm{min}$
11. $5.3 \mathrm{~km} / \mathrm{h}=$ $\qquad$ $\mathrm{m} / \mathrm{h}$ Copyright $\odot$ Big Ideas Learning, LLC

What is this asking? We need to convert gallons per minute to quarts per minute, and kilometers per hour to meters per hour. Watch out! Remember those conversion factors!
There are $\text{4 qt}$ in $\text{1 gal}$ and $\text{1000 m}$ in $\text{1 km}$ .
Don't mix them up!

1. Convert gallons per minute to quarts per minute.
2. Convert kilometers per hour to meters per hour.

We're given $\text{6 gal/min}$ and we want to convert it to $\text{qt/min}$ .
Since there are $\text{4 qt}$ in every $\text{1 gal}$ , we'll need to multiply!

Notice how the units of $\text{gal}$ appear in both the numerator and denominator.
This means we can divide to one, leaving us with our desired units of $\text{qt/min}$ . $6 \cdot \frac{4 \ \text{qt}}{1 \ \text{min}}$

Calculate the result: $24 \ \frac{\text{qt}}{\text{min}}$ So, $\text{6 gal/min}$ is equal to $\text{24 qt/min}$ !

We have $\text{5.3 km/h}$ and we want to convert it to $\text{m/h}$ .
Knowing that there are $\text{1000 m}$ in every $\text{1 km}$ , we'll multiply again!

Multiply by the conversion factor to change the units from kilometers to meters.
Since there are more meters than kilometers, we anticipate a larger number of meters. $5.3 \ \frac{\text{km}}{\text{h}} \cdot \frac{1000 \ \text{m}}{1 \ \text{km}}$

The units of $\text{km}$ appear in both the numerator and denominator, so we can divide to one, leaving us with our desired units of $\text{m/h}$ . $5.3 \cdot \frac{1000 \ \text{m}}{1 \ \text{h}}$

Calculate the result: $5300 \ \frac{\text{m}}{\text{h}}$ Therefore, $\text{5.3 km/h}$ is the same as $\text{5300 m/h}$ !

$6 \ \text{gal/min} = 24 \ \text{qt/min}$ $5.3 \ \text{km/h} = 5300 \ \text{m/h}$