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?A. 1/5 cup
B. 1/4 cup
C. 3/4 cup
D. 4/5 cup

Answers

Answer 1

Answer: Thank you for posting your question here at brainly. The cream will be 1/4 cup if the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat. I think its 1/4 because about 25% is fat and 25 x 4 = 100 assuming that the "100" is the cup. So 25% is 1/4 of the cup.

Answer 2

Answer:

Answer:

Option B

Step-by-step explanation:

Given that milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup.

Let x cups of milk be mixed with 1 cup of cream

Total fat in the mixture = 0.02x+0.18

=6% of x+1 = 0.06(x+1)

i.e. 0.02x+0.18 =0.06x+0.06

0.04x = 0.12

x =3

So 3 cups of milk and 1 cup of cream would be mixed

Or B) 1/4 cup cream would be mixed

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trisha standford earns $300 a week plus a 15% commission only on sales she makes after her first $1,000 in sales if ms standfords sales for one week are $2,500 what is her gross pay for that week

Answers

Answer:

Her gross pay for that week=$525

Step-by-step explanation:

Step 1: Express the gross pay

The gross pay can be expressed as follows;

A=F+(R×T)

where;

A=the gross pay per week

F=fixed income per week

R=commission rate

T=total commission sales

In our case;

F=$300 a week

R=15%=15/100=0.15

T=(2,500-1,000)=$1,500

replacing;

A=300+(15% of 1,500)

A=300+(0.15×1,500)

A=300+225=525

A=$525

Her gross pay for that week=$525

Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Answers

Answer:

the solution is the point $(1,-4)$

Step-by-step explanation:

we have

$4x-6y=28$

isolate the variable x

$4x=28+6y$

$x=7+1.5y$ -----> equation A

$8x-4y=24$ -----> equation B

substitute the equation A in equation B

$8(7+1.5y)-4y=24$

$56+12y-4y=24$

$12y-4y=24-56$

$8y=-32$

$y=-4$

Find the value of x

$x=7+1.5(-4)=1$

the solution is the point $(1,-4)$

According to my calculation it should be C: x= 1 and y = - 4
NOTE: I had it right on my online class.

Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in. A) 210 in^2 B) 240 in^2 C) 42 in^2 D) 420 in^2

Answers

The question ask to choose among the following choices that contains the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in. Base on my calculation, the answer would be A. 210 inch^2. I hope this would help

The lateral area of a regular pentagonal pyramid has a slant height of 14 in is 210 inch^2.

We have given that ,

The lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.

What is the pentagonal pyramid?

A pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point. Like any pyramid, it is self-dual. The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

The question ask to choose among the following choices that contain the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in.

Base on my calculation, the answer would be A.

210 inch^2.

To learn more about the pyramid visit:

brainly.com/question/218706

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What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96? A. 0 B. 100 C. 20 D. 200

Answers

Given:
x² + 11x + 121 = x + 96

First, we need to convert it into a quadratic equation.

x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0

a = 1 ; b = 10 ; c = 25

Quadratic formula:

x = (-b + (√b² - 4ac)) ÷ 2a

The discriminant is under the radical sign

discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0

Correct answer is A. 0

x² + 11x + 121 = x + 96

x² + 11x - x + 121 - 96 = 0

x² + 10x + 25 = 0. Compare to ax² + bx + c = 0.

a = 1, b = 10, c = 25.

Discriminant, Δ = (b² - 4ac)

= (10² - 4*1*25)

= (100 - 100)

= 0.

Discriminant = 0

Option A.

The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). what is the length of the radius?