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DochEvi [55]
3 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]3 years ago
6 0
6% fat is my guess.
-Nick
Alenkasestr [34]3 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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Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of sham
nordsb [41]

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

70L+ 60S < 5600

Putting 8 into L and 7 into S, gives:

70(8) + 60(7) = 560 + 420 = 980

That is definitely less than 5600, so water is OK.

Now,

0.02L + 0.01S

Putting 8 into L and 7 into S, gives:

0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23

That's definitely less than 2.5 liters, so shampoo is OK as well.

Hence, bathroom has enough water and shampoo for them.

7 0
3 years ago
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Kenji's town voted on a new speed limit. Of the votes received, 39 were in favor of the new speed limit and 13 were opposed. Wha
Nata [24]

Answer:

75%

Step-by-step explanation:

You need to find the total number of votes first. Just add 13 and 39 which would equal 52.

Then divide the number of people in favour by the total number of voters and multiply by a 100 to find the percentage.

39 + 13 = 52

39/52 = 0.75

0.75 x 100 = 75.0

75%

8 0
3 years ago
PPLEASE HELP!!!!! WHAT IS THE INITIAL VALUE MEAN FOR THIS GRAPH/FUNCTION
Rudiy27
Amount saved:50I60I70l80l   AND ON......
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3 years ago
Explain how to estimate 368 + 231 in two different ways
Komok [63]
First way. you could round to the tens place and add. 370 + 230 about 600.

round to the nearest hundreds. 400 plus 200. about 600.
3 0
3 years ago
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Laurent invested some money in a bank account.
zavuch27 [327]

Answer:

1.04

Step-by-step explanation:

"Complete the following sentence about the yearly rate of change in the amount of money in the account.  Round your answer to two decimal places.

Every year, the amount of money in the account increases by a factor of _."

Mdecade(t) = 4900 (1.5)^t, where t is in decades.

One year is 0.1 decades, so M increases by a factor of:

1.5^0.1 = 1.04

4 0
3 years ago
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