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Serjik [45]
2 years ago
8

A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai

ning 3% butterfat must be used to obtain the desired 364 gallons?
Mathematics
1 answer:
MaRussiya [10]2 years ago
5 0

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

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Answer:

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Step-by-step explanation:

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given the two points (-24,7) and (30,25) a. What is an equation passing through the points? b. Is (51, 33) also on the same line
kicyunya [14]
Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?

step 1
find the slope m
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step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
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the answer Part 1) is
y=(1/3)*x+15

Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
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<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line

see the attached figure

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