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DochEvi [55]
1 year 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]1 year ago
6 0
6% fat is my guess.
-Nick
Alenkasestr [34]1 year 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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Two angles of a triangle measure 59° and 63°. If the longest side measures 28 centimeters, find the length of the shortest side.
Dmitrij [34]
Angles in a triangle ALWAYS equal 180 degrees, so 180-59-63= final angle (58 degrees) Then just use (Tan,Cos,Sin) with the angles to find the lengths, i can’t answer it as i don’t know what the triangle looks like
3 0
2 years ago
Interpret the meaning of the point (9, 378).
lions [1.4K]

Answer:

it means the the line falls on 9 on the x-axis

and intersects at 378 on the y-axis

Step-by-step explanation:

hope that helped

7 0
2 years ago
True or false: the regression sum of squares (ssr) can never be greater than the total sum of squares (sst).
Valentin [98]
. . . . . . .. . . . . . . . . . . . . . . . . . . . ./ . . . . . . . . . . . . . . . . . . . . . . . . . . . . 
8 0
2 years ago
Use the distributive property to solve the equation 4x/5-x=x/10-9/2
Oksana_A [137]

Answer:

\Huge\boxed {x = 15}

Step-by-step explanation:

⟾Collect like terms

  • 8x - 10x = x - 45

⟾Move the variable to the left

  • - 2x = x - 45

⟾Collect like terms again

  • - 2x - x = - 45

⟾Divide both sides by -3

  • - 3x = - 45

⟾ x = 45 ÷ 3

  • x = 15.

Hope it's helps you

4 0
2 years ago
Let $f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$. Without using long division (which would be horribly nasty!), find the remainder when
valentina_108 [34]

Solution:

f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5

We have to find the remainder when f(x) is divided by x^2-1.

x²-1=0

x=\pm1

f(1)=1^{10}-8(1)^8-8(1)^3+12(1)^2-5(1)-5=1-8-8+12-5-5=1-16+12-10=13-26=-13\\\\f(-1)=(-1)^{10}-8(-1)^8-8(-1)^3+12(-1)^2-5(-1)-5=1-8+8+12+5-5=1+12=13

So, remainder is 13 and -13.

5 0
1 year ago
Read 2 more answers
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