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Evgen [1.6K]
2 years ago
13

. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf

measured 3 feet 2 inches wide. What is the length of the remaining piece of board?​
Mathematics
1 answer:
liberstina [14]2 years ago
3 0

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

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Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an
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Answer: The required system of equations are

y = 30x

13x + y = 258

Step-by-step explanation:

Let x represent the number of hours

that the driver worked.

Let y represent the number of miles that the truck drove.

For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. If on a particular day, his total expenses for the driver, gas and truck maintenance were $258, it means that

13x + y = 258

On that particular day, the driver drove an average of 30 miles per hour.

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It means that

y/x = 30

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4 0
2 years ago
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Addie walked 2 1 2 miles in 45 minutes. Suzie covered 2 2 5 miles in 2 3 of an hour. Which girl walked faster? By how much?
kobusy [5.1K]

Answer:

Suzie walks faster by 0.27 miles per hour.

Step-by-step explanation:

Addie walked 2\frac{1}{2} miles in 45 minutes and Suzie covered 2\frac{2}{5} miles in \frac{2}{3} of an hour.

So, Addie walked 2.5 miles in 45 minutes i.e. \frac{45}{60} = 0.75 hours.

Therefore, the walking speed of Addie is \frac{2.5}{0.75} = 3.33 miles per hour.

Again, Suzie covered 2\frac{2}{5} i.e. 2.4 miles in \frac{2}{3} i.e. 0.67 hours.

So, the walking speed of Suzie is \frac{2.4}{0.67} = 3.6 miles per hour.

Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)

7 0
2 years ago
Jada is making lasagna and pizzas for a party recipe calls for 1 1/4 cups and she uses 1/2 she doubled her recipe and made 5 piz
grigory [225]

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

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