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il63 [147K]
2 years ago
7

In order to make a service for four 1 3/4 cups of chopped vegetables are needed. Based on this information, determine the amount

of chopped vegetables needed to make a recipe for ten.?
Mathematics
1 answer:
Mila [183]2 years ago
6 0

For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:

1 \frac {3} {4} = \frac {4 * 1 + 3} {4} = \frac {7} {4}cups

4 ----------> \frac {7} {4}

10 ----------> x

Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.

x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}

This is equivalent to 4 \frac {3} {8}cups.

Answer:

4 \frac {3} {8} cups

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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
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145

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110÷177.4=.62 cal per gram

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7 0
2 years ago
A similarity transformation maps polygon ABCD to polygon PORS. If the length of AB is 6 and the length of the corresponding side
joja [24]

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Scale factor = 2

Step-by-step explanation:

Scale factors deal multiplication. So, you would need to find a number to multiply by 6 to get 12. You can do this by doing 12 / 6.

12 / 6 = 2

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3 years ago
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When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses \dfrac{2}{3} cups of shortening for every 2\dfrac{1}{2} = \dfrac{5}{2} cups of flour.

So, for each \dfrac{2}{3} cup of shortening she uses \dfrac{5}{2} cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be  

\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15} i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0
3 years ago
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy
Umnica [9.8K]

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35

8 0
3 years ago
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