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Slav-nsk [51]
2 years ago
7

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? StartFraction 1 Over 5 EndFraction cup. cup StartFraction 1 Over 4 EndFraction cup. cup StartFraction 3 Over 4 EndFraction cup. cup StartFraction 4 Over 5 EndFraction cup. cup
Mathematics
2 answers:
inessss [21]2 years ago
7 0

Answer: 1/4

Step-by-step explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

nydimaria [60]2 years ago
6 0

Answer:

1/4

Step-by-step explanation: just did it

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DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

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\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

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d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
2 years ago
what are the solution(s) to the quadratic equation x2 – 25 = 0? x = 5 and x = –5 x = 25 and x = –25 x = 125 and x = –125 no real
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The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
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Answer:

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Step-by-step explanation:

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andriy [413]

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