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DochEvi [55]
2 years ago
10

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream

contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
Mathematics
2 answers:
Sati [7]2 years ago
6 0
6% fat is my guess.
-Nick
Alenkasestr [34]2 years ago
6 0
It'd be helpful to choose letters to represent the volumes of the milk and cream in the 1-cup mixture.  Why not let m=volume of milk, and c=volume of cream?
Then m+c=1 cup (total volume of mixture).

How much fat does the milk contribute?  It's 2% fat.  The amount of pure fat there is 0.02m (which has units of measurement "cups" and is a volume).  How much fat does the cream contribute?  It's 18% fat.  The amount of pure fat there is 0.18c.  The amount of pure fat in the mixture is 0.06(1 cup), or 0.06 cup.

Then 0.02m + 0.18c = 0.06 (cup).

To remove the fractions, mult. this equation by 100:  2m + 18c = 6
Remember that m + c = 1.  solving this for m, m = 1 - c.  Substituting this relationship into 2m + 18c = 6, we get 2(1-c) + 18c = 6.

Thus, 2-2c + 18 c = 6.  Solve this for c:  16c = 4; c=1/4, or c=0.25.
There is 0.25 cup (1/4 cup) of cream in the mixture, and (1-0.25) cup, or 0.75 cup, of milk in the mixture.

So, there's your answer:  "here is 0.25 cup (1/4 cup) of cream in the mixture."

It's very important that you choose and use variables to represent the unknown quantities (that is, the volumes of the milk and cream in the mix), defining them carefully.
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Answer:

Describe the error in the work shown.

A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes. What is the new position of the submarine in relation to sea level?

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Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per
Andrej [43]

We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75

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P =\frac{ \$ 16.15}{(3 + 2/5)lb}

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9 the smallest angle is always opposite the smallest side


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the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

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y changes by -4 (from 1 to -3).

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