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

Answers

Answer 1

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%


Related Questions

2x + 3y = 13
4x - y = -2

Answers

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.

Answers

Answer:

Several factors affect how sediment settles

Step-by-step explanation:

Deposition is how erosion stops and how the sediments settle so it is "Several factors affect how sediment settles".

The statement that describes a characteristic of deposition is Several factors affect how sediment settles.

When particles are being deposited, there are several factors that affect how the sediment forms such as:

Weight and density of particles Temperature of the areaEnvironmental factors such as quantity of water

The formation of sediments are therefore hugely impacted by several factors.

In conclusion, sediment formation is affected by multiple factors.

Find out more at https://brainly.com/question/1883571.

The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro

Answers

Answer:

f(x) = 9(x + 5)2 - 6 (-5,-6)

f(x) = 6(x + 9)2 - 5 (-9,-5)

f(x) = 9(x - 5)2 + 6 (5,6)

f(x) = 6(x - 5)2 - 9. (5,-9)

f(x) = 5(x - 6) +9. (6,9)

Step-by-step explanation:

To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.

The coordinates of the vertex of the equations are:

f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)

How to determine the vertex of the quadratic functions?

The vertex form of the quadratic function is given as:

y = a(x -h)^2 + k

Where:

Vertex = (h,k)

Using the above highlight, the coordinates of the vertex of the equations would be:

f(x) = 9(x + 5)^2 - 6

Vertex = (-5,-6)

f(x) = 6(x + 9)^2 - 5

Vertex = (-9,-5)

f(x) = 9(x - 5)2 + 6

Vertex =(5,6)

f(x) = 6(x - 5)^2 - 9

Vertex = (5,-9)

f(x) = 5(x - 6) +9

Vertex = (6,9)

Read more about vertex quadratic functions at:

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can someone please help me pleaaaase ill give brainliest :'((((

Answers

Answer:

[tex]2^{x}[/tex] + 8x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= [tex]2^{x}[/tex] + 5x + 3x - 5 ← collect like terms

= [tex]2^{x}[/tex] + 8x - 5

Answer: 2^x+8x-5 i did the work on paper, You're welcome!

heklp me again please if you dont mind

Answers

Step-by-step explanation:

This is the answer of this question.

The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?

Answers

Answer:

upwards or to the right

Step-by-step explanation:

If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!

Which two representations are considered to be only partial representations

Answers

Answer:

Option D is correct.

The only partial representations of the given information are the table and the graph.

This is because, on their own, they do not provide the corresponding value of y for every given x.

Step-by-step explanation:

Complete Question

Four representations of the same data are shown below.

- Verbal Description

Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.

- Equation

y = x + 4

- Table

- Graph

Cell Phone Bill

Which two representations are considered to be only partial representations?

A) the equation and the verbal description

B) the verbal description and the graph

C) the table and the equation

D) the graph and the table

Solution

A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.

Taking each of the representations one at a time.

- Verbal Description

The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.

- Equation

y = x + 4

The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.

- Table

Although, the values of the table aren't all presented above, but it is evident that the table, no matter how long, can only give the corresponding values of y given x, to an extent. A table, on its own, would not give all the values of y, for every value of x, one can think of. Unless one of the other methods of representation has already been given, the table alone is a partial representation of the subject matter.

- Graph

Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.

Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.

Hope this Helps!!!

A circle has a radius of \blue{6}6start color #6495ed, 6, end color #6495ed. An arc in this circle has a central angle of 330^\circ330∘330, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

11 pi

Step-by-step explanation:

khan academy

The length of arc is [tex]11.04\pi[/tex]

Central angle :

Given that, radius of circle is 6 unit.

And an arc in this circle has a central angle of 330 degree.

First we have to convert given angle into radian.

           330 degree [tex]=330*\frac{\pi}{180} =1.84\pi[/tex]

As we know that,

             angle  [tex]\theta=\frac{Arc}{radius}\\[/tex]

Substitute values in above relation.

                  [tex]Arc=1.84\pi *6\\\\Arc=11.04\pi[/tex]

Thus, the length of arc is [tex]11.04\pi[/tex]

Learn more about the arc length here:

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hi pls help i don’t understand this

Answers

Answer:

Hey mate ,

tan(A) = Sin A / cos A

tan A = 4/7*5/3

tan A = 20/21 .....

Hope this helps ......

Lisa works 6 hours at $13.75 per hour. How much does she earn?

Answers

Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3

Answers

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

I WILL MARK YOU BRAINLIEST ANSWER PLZ!!!

Answers

Answer:

B. 5

Step-by-step explanation:

If you plug the given choices in, -6 and 6 will create undefined answers. A zero in the denominator is always undefined. The only way to get the equation to equal zero would be if the numerator were equal to 0. Which would be 5.

In the diagram below, lines AB and CD are
A.
90
B
skew
O B. perpendicular
O C. parallel

Answers

Answer:

B. Perpendicular

Step-by-step explanation:

AB forms the perpendicular bisector of CD, so they are perpendicular to each other. They intersect each other at right (90°) angles.

I hope this helps :))

The line AB and CD are Perpendicular to each other , Option B is the correct answer.

What are Perpendicular Lines ?

The lines that intersect each other and make an angle of 90 degree are called perpendicular to each other.

The line AB and CD are shown in the figure ,

The lines are intersecting an making an angle of 90 degree,

Therefore they are Perpendicular to each other , Option B is the correct answer.

To know more about Perpendicular

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Ella finishes school at 3pm. The time on her watch is 14;13. how long is it until Ella finishes school?

Answers

Answer:

47 minutes

Step-by-step explanation:

14:13 is 2:13 PM in 12 hour time.

There are 47 minutes left till 3 PM. Ella’s school finishes at 3 PM, so there are 47 minutes left.

Answer:

47 minutes

Step-by-step explanation:

3pm is the 12 hour time zone which can be converted to 15:00 in the 24 hour time zone.

So, the easiest way is to subtract 13 minutes (14:13) by an hour. Our result is 47 minutes (60-13).

Hope this helps and please mark as the brainliest.

I'm I right?????? because i think i am

Answers

[tex]\sqrt{3x+10}=\sqrt{2x+3}\\\\\\\dfrac{\sqrt{3x+10}}{\sqrt{2x+3}}=1\\\\\\\sqrt{\dfrac{3x+10}{2x+3}}=1\\\\\\\dfrac{3x+10}{2x+3}=1\\\\\\3x+10 =2x+3\\\\x = -7[/tex]

Answer:

x=-7

Step-by-step explanation:

first simplify your equation to:

3x+10=2x+3

combine like terms

3x-2x=3-10

solve for x

x=-7

Expand 3(x+4)=?????
???????????!!?!!

Answers

Answer:

3x+12

Solution,

[tex]3(x + 4) \\ = 3 \times x + 3 \times 4 \\ = 3x + 12[/tex]

hope this helps ..

Good luck on your assignment...

Answer:

3x+12

Step-by-step explanation:

=> 3(x+4)

Using distributive property of multiplication

=> (3*x)+(3*4)

=> 3x+12

Solve l=14j+3k for k.

Answers

L = 14J + 3K
L - 14J = 3K
(L - 14J)/3 = K

What is one value that makes the fraction (4x-8)/(x^2+x-42) undefined? Plz help me I'll mark brainliest! And plz explain how you did it plz ty!

Answers

Answer:

x = 6

Step-by-step explanation:

To make a fraction undefined, the denominator would have to be equivalent to zero. If that is so, x^2 + x - 42 would have to equal 0, and we would have to solve for the value of x;

[tex]x^2 + x - 42 = 0,\\Factored Equation = \left(x-6\right)\left(x+7\right),\\\left(x-6\right)\left(x+7\right) = 0,\\\\Zero Factor Principle, \\x - 6 = 0, and, x + 7 = 0\\\\x = 6, x = - 7\\\\Solution = Either, 6 / - 7[/tex]

We can take x to be either 6 or - 7, but as the question asks us to state only one value, I will take x = 6.

Gloria is digging for fossils at a geological site. She has 120 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Gloria has with her?
12 m × 10 m
50 m × 10 m
60 m × 60 m
45 m × 10 m

Answers

Answer:

B

Step-by-step explanation:

Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.

A) 2(12+10)=2(22)=44

B) 2(50+10)=2(60)=120

This works! Therefore, the correct answer is choice B. Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour

Answers

.75 mi/ min = x mi/ 1 hour

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

If f(x) is parallel to the line y
2x+, which function could be f(x)?
O Rx)=2x+9
4
o RX)=-3x+9
o RX)= 9x+
2
Of(x)= 9x-
5
2

Answers

Answer:

Step-by-step explanation:

The line y = 2x + c

has a slope of 2.  Any new line parallel to this one must also have a slope of 2.

Correct choices include the first one alone.  None of the others are correct.  

From the given option the required equation parallel to the function is y = 2x + 9

Equation of a line

The standard equation of a line is y = mx + c

m is the slope of the linec is the intercept

Given the equation y = 2x + c

Ths lope of the line is 2

Hence the equation parallel to the equation must have a slope of 2. From the given option the required equation parallel to the function is y = 2x + 9

Learn more on equation of aline here: https://brainly.com/question/13763238

A bearing used in an automotive application is required to have a nominal inside diameter of 1.5 inches. A random sample of 25 bearings is selected and the average inside diameter of these bearings is 1.4975 inches. Bearing diameter is known to be normally distributed with standard deviation inch. (a) Test the hypotheses versus using The true mean hole diameter.

Answers

Answer:

Step-by-step explanation:

In the question, there is an incomplete sentence. The complete sentence is:

"Bearing diameter is known to be normally distributed with standard deviation of 0.01 inch"

We would set up the hypothesis test.

For the null hypothesis,

H0 : µ = 1.5

For the alternative hypothesis,

H1 : µ ≠ 1.5

It is a two tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 1.5

x = 1.4975

σ = 0.01

n = 25

z = (1.4975 - 1.5)/(0.01/√25) = - 1.25

Since it is a 2 tailed test, we would find the p value by doubling the area to the left of the z score to include the area to right.

Area to the left from the normal distribution table is 0.11

P value = 0.11 × 2 = 0.22

Assuming a significance level of 5%

Since 0.05 < 0.22, we would accept the null hypothesis

Therefore, at 5% significance level, we can conclude that the true mean hole diameter is 1.5 inches

Answer this please thanks

Answers

Answer:

m∠BOC = 60°

Step-by-step explanation:

Step 1: Find x

7x + 30 + 9x + 42 = 104

16x + 72 = 104

16x = 32

x = 2

Step 2: Plug x into ∠BOC equation to find m∠BOC°

9(2) + 42

18 + 42 = 60

(-3) to the power of 3 is?

Answers

Answer:

-27

Step-by-step explanation:

(-3)^3 = (-3) * (-3) * (-3) = 9 * (-3) = -27

Answer:

-27

Step-by-step explanation:

In order to find the answer to this question you have to multiply the exponent by itself three times.

[tex]-3^3 = -3\times-3\times-3[/tex]

Remember that a negative times a negative is a positive

[tex]-3 \times -3 = 9[/tex]

Remember a positive times a negative is a negative

[tex]9 \times -3 = -27[/tex]

[tex]=-27[/tex]

Hope this helps.

The price of an article is marked 25% above the cost price. If it is sold
at the profit of Rs 500 after allowing 15% discount what will be its
selling price?
(Ans: 10170)

Answers

Answer: 1250

Step-by-step explanation:

1) The price of an article is marked 25% above the cost price.

SP = CP x 1.25

2) If it is sold at the profit of Rs 500 after allowing 15% discount

SP = CP x 0.85 + 500

SP = 0.85CP + 500

1.25CP = 0.85CP + 500

1.25CP - 0.85CP = 500

0.40CP = 500

CP = 500 / 0.4 = 1250

Answer:

Rs 8500

solution,

Let C.P of article be X

[tex]mp = x + \frac{25}{100} \times x \\ \: \: \: \: = x + \frac{25x}{100} \\ = \frac{x \times 100 + 25x}{100} \\ = \frac{100x + 25x}{100} \\ = \frac{125x}{100} \\ sp = mp - \frac{15}{100} \times \frac{125x}{100} \\ \: \: \: \: = \frac{125x}{100} - \frac{15x}{80} \\ \: \: \: \: = \frac{125 x\times 4 - 15x \times 5}{400} \\ \: \: \: \: \: = \frac{500x - 75x}{400} \\ \: \: \: \: \: \: = \frac{425x}{400} \\ profit = sp - cp \\ or \: 500 = \frac{425x}{400} - x \\ or \: 500 = \frac{425x - x \times 400}{400} \\ or \: 500 = \frac{425x - 400x}{400} \\ or \: 500 = \frac{25x}{400} \\ or \: 25x = 200000 \\ or \: x = \frac{200000}{25} \\ x = 8000 \\ again \\ \: selling \: price = \frac{425x}{400} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{425 \times 8000}{400} \\ \: \: \: \: \: \: = \frac{3400000}{400} \\ \: \: \: \: \: \: = 8500[/tex]

hope this helps....

Good luck on your assignment...

a solid cuboid is made from centimeter cubes how many centimeter cubes were used to make the cuboid

Answers

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.

The value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k

Answers

Step-by-step explanation:

Putting values of x and y

2(1) + 3(2)

2 + 6

= 8

k = 8

Answer:

so the value of k is 8

Step-by-step explanation:

2x+3y=k

put x=1 and y=2

2(1)+3(2)=k

2+6=k

k=8

The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the triangle is 19cm long. Calculate the length of the shortest side in the triangle

Answers

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

x+2x+3x= 1806x= 180x= 3030°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm  = shortest sidesin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm

Please help me quick!!! I'll give brainliest.

Answers

Answer:

the 2nd one

Step-by-step explanation:

thats what I think sorry if im wrong have a nice day! p.s I remember doing this!

please help ASAP.. thankyou

Answers

Answer:

Value of h+k = 16

Step-by-step explanation:

[tex]If \: a \: ,b, \: c \: are \: in \: arithmetic \: progression \\ then \: 2b \: = a + c \: \\ here \: a \: = h \: \: \: b \: = 8\: \: \: \: c \: = k \: \\ on \: substituting \: the \: values \: in \: formula \\ we \: get \: 2(8) = h + k \\ 16= h + k \\ value \: of \: h + k = 16[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

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