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Georgia [21]
3 years ago
8

Lucia uses 3 ounces of pasta to make 3/4 serving of pasta, How many ounces of pasta are there per serving? How many ounces of pa

sta should Lucia use to make 5 servings?
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

1. 4 ounces of pasta per serving.

2. 20 ounces for 5 servings.

Step-by-step explanation:

3 ounces of pasta makes 3/4 servings of pasta.

We want to get find out how many ounces of pasta needed to make 1 serving of pasta, in other words 4/4 servings of pasta.

To get 3/4 to 4/4, we need to times it by 4/3, since 3/4 * 4/3 = 12/12 = 4/4 = 1.

So to get the ounces of pasta, we need to times 3 by 4/3.

3 * 4/3 = 3/1 * 4/3 = 12/3 = 4 ounces.

There we see that there are 4 ounces of pasta in a serving.

Now that we know that there are 4 ounces of pasta in a serving, we simply multiply to get the amount of ounces of pasta in 5 servings.

We can say that the amount of pasta is directly proportional to the amount of servings.

Direct proportion is the relationship between two variables when their ratio is equal to a constant value.

If there are 4 ounces of pasta in a serving, the amount of servings is multiplied by 5, and since the amount of pasta is directly proportional to the amount of servings, we multiply the ounces of pasta by 5.

4 * 5 = 20.

Here we see that there are 20 ounces of pasta in 5 servings.

Hope this helps.

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Which expression has the same value as 37.4 - 54.9?
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Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

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 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

-----------------

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C)  37.4 - (- 54.9) = 92.3

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+ 37. 4

--------------

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D)  37.4 + (-54.9) = -17.5

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      =    37.4 - 54.9

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54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

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37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

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