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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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The price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple​
Gekata [30.6K]

Answer:

Rs. 250

Step-by-step explanation:

The price of 41 g. apple is Rs 10.25

The price of 1 g. apple is Rs 10.25/41, = Rs 0.25

The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250

8 0
3 years ago
there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?​
olchik [2.2K]

Answer:

y = 15x - 10

Step-by-step explanation:

slope is given: 15

(x, y) is given: (1, 5)

plug values into y = mx + b:

5 = (15)(1) + b

solve for b:

b + 15 = 5

b = -10

rewrite the equation:

y = 15x - 10

7 0
3 years ago
1. Last Wednesday, students could choose ham or turkey sandwiches for
Rufina [12.5K]

Answer:

47%

Step-by-step explanation:

47 + 53 = 100, so 1 = 1%. 47 * 1 = 47, so it equals 47%.

5 0
3 years ago
Read 2 more answers
Slope is 5 and (7,-6) is on the line; point slope form
Yakvenalex [24]
-6 = 5(7) + b
-6 = 35 + b
-41 = b
y = 5x - 41 is the point slope form.
4 0
3 years ago
Select the correct answer from each drop-down menu. ∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X
lakkis [162]

Answer: The correct option for blank 1 is option B and the correct option for blank 2 is option C.

Explanation:

It is given that ∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14). ∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8). ∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).

Plot these vertices on a coordinate plane and draw the triangles as shown below figure.

Two triangles are congruent if the both triangle have same corresponding sides and same angles.

From the figure it is noticed that

AB=MN=8

BC=NO=6

\angle B=\angle N

By SAS rule ∆ABC and ∆MNO are congruent.

So, the correct option for blank 1 is B.

From the It is clearly noticed the when we rotate the triangle ∆ABC 90^{\circ} counterclockwise along point B, we get ∆MNO.

So, the correct option for blank 2 is C.

3 0
3 years ago
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