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Olenka [21]
3 years ago
5

A recipe that makes 8 servings calls for 3/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of fl

our will Jeff need?
Mathematics
1 answer:
Blababa [14]3 years ago
8 0
8 goes with 3/5: 10 goes with n     (n being the number of cups)

\frac{8}{3/5}  =  \frac{10}{n}

Use cross products and we get  8n = 6
Now divide by 8
<u>8n</u>  = <u>6
</u><u />8       8

n= 6/8 or 3/4 of a cup of flour.
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Answer:

Part A)

1)  k=250

2) y=25

Part B)

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2) y=84

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

step 1

<u>Find the value of k</u>

x=50 when y=5

substitute the values

y*x=k ------> 5*50=k -----> k=250

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step 2

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substitute the value of x in the equation and solve for y

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Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

step 1

<u>Find the value of k</u>

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substitute the values

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The equation is equal to

y/x=7  or  y=7x

step 2

<u>Find y when x=12</u>

substitute the value of x in the equation and solve for y

y=7(12)=84

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Step-by-step explanation:

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