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lions [1.4K]
2 years ago
8

The ratio of forks to spoons in the cafeteria is 15:25. If the total

Mathematics
1 answer:
9966 [12]2 years ago
8 0

Answer:

30 forks

Step-by-step explanation:

Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.

Forks: spoons

= 15: 25

= 3: 5

This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.

Number of forks= 3u

Number of spoons= 5u

Units shall be represented by the letter u from this point forth.

Now, we can form an equation using the total number of utensils in the cafeteria.

Assuming that the utensils in the cafeteria are only forks and spoons,

number of fork and spoons= 80

3u +5u= 80

8u= 80

Let's solve for u.

Divide by 8 on both sides:

1u= 80 ÷8

1u= 10

This means that 1 unit represents 10 utensils.

Substitute the value of u into the expression of the number of forks:

Number of forks

= 3u

= 3(10)

= 30

Thus, there are <u>30 forks</u> in the cafeteria.

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Tyrone has 8/9 of a foot of string. He needs to cut pieces of string that are 1/4 of a foot long. How many whole 1/4 foot pieces
Gekata [30.6K]

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Answer:

  3

Step-by-step explanation:

You can use your number sense to realize that 8/9 is between 3/4 and 1, so Tyrone can only get 3 whole pieces from his string.

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If you like, you can do the division ...

  (8/9)/(1/4) = (8/9)(4/1) = 32/9 = 3 5/9 . . . . . 3 whole pieces

Or, you can compare decimal values.

  1 piece = 0.25 ft

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2 years ago
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How many feet is in 215 yards
Lilit [14]
645 feet.

Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this

x215
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-------- = -----------
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x 215

We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
6 0
3 years ago
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Is my answer correct
Kryger [21]
Yes it is thirty because when u do 5×2×3 the correct answer turns out to be 30 $o yes!!!!!!
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Find the quotient,a. 70 /10 =a
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8 0
3 years ago
Help! I don't understand this.
OleMash [197]

Answer:

x > 9.

Step-by-step explanation:

Here it is just simplifying the inequality.

6 - 2/3x < x - 9

Add 2/3x to both sides.

6 < 5/3x - 9

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x > 9.

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2 years ago
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