Martina walked 3/4 of a mile in 2/5 of an hour. At this rate, how far can Martina walk in one hour?

Answer 1

To determine how far Martina can walk in one hour, we first calculate her walking rate in miles per hour.

Martina walked \( \frac{3}{4} \) of a mile in \( \frac{2}{5} \) of an hour. We can find her walking rate by dividing the distance by the time:

\[ \text{Walking rate} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{3}{4}}{\frac{2}{5}} \]

To divide by a fraction, we multiply by its reciprocal:

\[ \text{Walking rate} = \frac{3}{4} \times \frac{5}{2} \]

Now we will multiply the fractions:

\[ = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} \text{ miles per hour} \]

Next, we want to find out how far she can walk in one hour. Since her walking rate is \( \frac{15}{8} \) miles per hour, the distance she can walk in one hour is simply \( \frac{15}{8} \) miles.

To express \( \frac{15}{8} \) as a mixed number:

\[ \frac{15}{8} = 1 \frac{7}{8} \]

Thus, the answer is:

\[ \text{Martina can walk } \frac{15}{8} \text{ miles, or } 1 \frac{7}{8} \text{ miles in one hour.} \]

Answer 2

if there is a fraction just use EXAMPLE: 1/2 instead of EXAMPLE: \frac{1}{2}

Answer 3

Got it! Let's go through the solution again using the format you prefer.

Martina walked 3/4 of a mile in 2/5 of an hour. To find her walking rate in miles per hour, we divide the distance by the time:

Walking rate = Distance / Time = (3/4) / (2/5)

To divide by a fraction, we multiply by its reciprocal:

Walking rate = (3/4) * (5/2)

Now we multiply the fractions:

= (3 * 5) / (4 * 2) = 15/8 miles per hour

Now, to find out how far she can walk in one hour, we simply take her walking rate, which is 15/8 miles.

Expressing 15/8 as a mixed number:

15/8 = 1 7/8

So, Martina can walk 15/8 miles, or 1 7/8 miles in one hour.

Answer 4

A bakery uses 10 3/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake?

Answer 5

To find the unit rate of icing in ounces per whole cake, we first need to determine how much icing is used for one whole cake.

The bakery uses 10 3/5 ounces of icing for every 1/4 of a cake. To find the amount of icing for a whole cake, we multiply the icing amount by 4 (since there are four quarters in a whole):

1. Convert 10 3/5 to an improper fraction:

10 3/5 = (10 * 5 + 3) / 5 = 53/5 ounces.

2. Now, multiply this amount by 4:

Icing for 1 whole cake = (53/5) * 4 = 212/5 ounces.

Now, let's convert that improper fraction to a mixed number if needed:

212/5 = 42 2/5 ounces.

So, the unit rate of icing is 42 2/5 ounces per cake.

Answer 6

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
In the city map below, 3/4 inch on the map represents 1/2 mile.

What is the unit rate?

inches per mile

Answer 7

To find the unit rate in inches per mile, we start with the given information:

3/4 inch on the map represents 1/2 mile.

To find how many inches represent 1 mile, we can use the following calculation.

Since 1 mile is twice 1/2 mile, we can calculate inches for 1 mile as follows:

\[ \text{Inches for 1 mile} = \left(\frac{3}{4} \text{ inches}\right) \times 2 = \frac{3 \times 2}{4} = \frac{6}{4} = \frac{3}{2} \text{ inches}. \]

This result means that 1 mile corresponds to 1.5 inches.

Thus, the unit rate is:

3/2

Answer 8

Jessica was planting flower seeds in a garden. She planted 22.4 square feet of seeds in 7 minutes. At what unit rate did Jessica plant seeds?
A.
156.8 square feet per minute
B.
15.4 square feet per minute
C.
3.2 square feet per minute
D.
29.4 square feet per minute

Answer 9

To find the unit rate at which Jessica planted seeds, we need to divide the total area she planted by the total time it took.

Jessica planted 22.4 square feet of seeds in 7 minutes.

Now we calculate the unit rate:

\[ \text{Unit rate} = \frac{\text{Total area}}{\text{Total time}} = \frac{22.4 \text{ square feet}}{7 \text{ minutes}}. \]

Now, performing the division:

\[ \text{Unit rate} \approx 3.2 \text{ square feet per minute}. \]

Therefore, the correct answer is:

C. 3.2 square feet per minute.

Answer 10

Amy is creating an enlargement of the image shown for an art gallery.

Note: Figure not drawn to scale.

She needs the enlargement to follow the scale of 1/4 of a foot to 3 feet. This will result in an image with a length of 8 feet and width of 6 feet.

What is the unit rate of area in square feet of the enlarged image per square foot of area of the original image?
A.
144 square feet per square foot
B.
32 square feet per square foot
C.
48 square feet per square foot
D.
16 square feet per square foot