A water pump moves 330 gallons of water in 22 minutes. What is the unit rate of gallons per minute?(1 point)//

Question

gallons per minute

Answer 1

To find the unit rate of gallons per minute, you can divide the total number of gallons by the total number of minutes.

\[ \text{Unit rate} = \frac{\text{Total gallons}}{\text{Total minutes}} = \frac{330 \text{ gallons}}{22 \text{ minutes}} = 15 \text{ gallons per minute} \]

So, the unit rate is 15 gallons per minute.

Answer 2

A processing machine crushes 3 1/4
kilograms of dried fruits in 3/4
minute. Determine the kilograms of fruit crushed in one minute.

What process will you use to solve this problem?

(1 point)
Responses

3/4÷3 1/4
3 fourths divided by 3 1 fourth

3 1/4−3/4
3 and 1 fourth minus 3 fourths

3 1/4×3/4
3 and 1 fourth times 3 fourths

3 1/4÷3/4
3 and 1 fourth divided by 3 fourths
Question 2
(1 point)
Enter your solution as a mixed number.


kilograms per minute

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Answer 3

To determine the kilograms of fruit crushed in one minute, you need to find the rate per minute. Since the machine crushes \(3 \frac{1}{4}\) kilograms in \(\frac{3}{4}\) minute, you can find the rate by dividing the total kilograms by the total minutes.

Here’s the correct process:

1. Convert \(3 \frac{1}{4}\) to an improper fraction: \[ 3 \frac{1}{4} = \frac{13}{4} \text{ kilograms} \]

2. Divide the improper fraction by \(\frac{3}{4}\) (this is the time): \[ \text{Rate} = \frac{13/4 \text{ kg}}{3/4} = \frac{13}{4} \div \frac{3}{4} = \frac{13}{4} \times \frac{4}{3} = \frac{13 \times 4}{4 \times 3} = \frac{13}{3} \text{ kg per minute} \]

So the correct mathematical operation is: \[ \frac{13}{4} \div \frac{3}{4} \]

Question 2

Now, convert \(\frac{13}{3}\) into a mixed number:

\[ \frac{13}{3} = 4 \frac{1}{3} \text{ kilograms per minute} \]

Thus, the answer is:

4 \(\frac{1}{3}\) kilograms per minute.

Answer 4

It takes 76 gallons of water to produce 4 ounces of oatmeal. Complete the table.(2 points)
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ounces of oatmeal gallons of water
2 38
4 76
10 blank
blank 304

Answer 5

To complete the table, we can determine the relationship between gallons of water and ounces of oatmeal using the ratio given (76 gallons for 4 ounces).

Step 1: Find the unit rate

To find the number of gallons required for 1 ounce of oatmeal, we divide the total gallons by the total ounces:

\[ \text{Gallons per ounce} = \frac{76 \text{ gallons}}{4 \text{ ounces}} = 19 \text{ gallons per ounce} \]

Step 2: Complete the table

1. For 10 ounces of oatmeal: \[ \text{Gallons for 10 ounces} = 10 \text{ ounces} \times 19 \text{ gallons per ounce} = 190 \text{ gallons} \]

2. For 304 gallons of water, find the ounces of oatmeal: To find the ounces, we can set up the equation: \[ \text{Ounces} = \frac{\text{Gallons}}{\text{Gallons per ounce}} = \frac{304 \text{ gallons}}{19 \text{ gallons per ounce}} = 16 \text{ ounces} \]

Completed Table

| ounces of oatmeal | gallons of water | |--------------------|------------------| | 2 | 38 | | 4 | 76 | | 10 | 190 | | 16 | 304 |

So, the completed entries are:

• For 10 ounces: 190 gallons
• For 304 gallons: 16 ounces