A drink recipe calls for prune juice and carrot juice. This equation represents the proportional relationship between the number of quarts of prune juice (p) and carrot juice (c) in the recipe. 4p = 12c. Enter the number of quarts of carrot juice used for 1 quart of prune juice.

Answers

Answer 1

Answer:

The number of quarts of carrot juice used is approximately 0.3333.

Step-by-step explanation:

The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;

     4p = 12c

Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;

i.e p = 1

So that,

4 x 1 = 12c

4 = 12c

c = [tex]\frac{4}{12}[/tex]

  = [tex]\frac{1}{3}[/tex]

  = 0.3333

The number of quarts of carrot juice used is approximately 0.3333.


Related Questions

Rewrite the following equation in standard form.
y + 7 = 2(x - 6)

Answers

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19​

Answers

1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)

1
A percent of change is the ratio of the amount of change to the original amount.

Answers

Answer:

I believe this would be true

Step-by-step explanation:

Solve for n.
- 24 -6n= -42

Answers

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?

Answers

Answer:

There's no options

Step-by-step explanation:

Answer:

Options please

Step-by-step explanation:

A restaurant customer left ​$ as a tip. The tax was and the tip was ​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?

Answers

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]

I need help with this, I can't figure it out.

Answers

Answer:

- 4, 13, - 21, 47

Step-by-step explanation:

Using the recursive rule and a₁ = - 4 , then

a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13

a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21

a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47

Thus the first 4 terms are - 4, 13, - 21, 47


The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form

Answers

Answer:

All we need to do is solve for y.

[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]

The answer is A. y = 4x + 11.

-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?

Answers

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

Write an equation for the line that passes through
(2,7) and (-1,-8)

Answers

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?

Answers

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

Learn more about the properties of a kite here:

https://brainly.com/question/24110637

According to the boxplot shown below, what is the third quartile (Q3) value?



4
11
27
49

Answers

Answer:

Step-by-step explanation:

the answer is 49.0 so it’s d I just took the test

Answer ASAP!! There is only a blank circle on the left

Answers

Answer:

i think its 1000

Step-by-step explanation:

-x/3 = -998
please help fast!!!
what does x equal?

Answers

Answer:

2994=x

Step-by-step explanation:

-x/3=-998

multiply 3 on both sides

-x=-2994

x=2994

Hope this helps you!

#Team Rainbows~

This might help for your math homework

Yo can I get some help with this question

Answers

Answer:

Step-by-step explanation:

D is congruent to b so the answer is equal to 45 + 3x -10 + 2x + 10 = 180 . this can be to 45 + 5x = 180, and further to 5x + 135 to x=27

i need help because i dont understand it

Answers

Answer:

6,371.15

Step-by-step explanation:

3.14 times 13^2 times 12

Answer:

Volume equals pi times radius to the power of 2 times height

that will be pi times 13^2 times 12= 6,367.92

radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92

Step-by-step explanation:

ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!

Answers

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit

Answers

Answer:

We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:

17 * 3.25 = $55.25

Now, we know he got 55.25 dollars but he spent 16.21, so we substract:

55.25 - 16.21 = $39.04

His profit selling that is of 39.04 dollars..

The expression 2y+ 2.6 is equal to ? for y=5

Answers

Answer:

Its 12.6

Step-by-step explanation:

first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.

Answer: 12.6

Step-by-step explanation:

2(5)+2.6

10+2.6

12.6

The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False

Answers

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

help
ques starts frm a rectangular garden​

Answers

Answer:

this is the full solution of your question

Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9

Answers

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.

Answers

x^2 = 25^2 - 22^2 <=>

x^2 = 625 - 484 <=>

x^2 = 141 <=>

x = 11.9

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

learn more about Pythagoras's theorem here :

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Questions in pic plz help

Answers

Answer:

i think its c

Step-by-step explanation:

plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300

Answers

Answer: 15

Step-by-step explanation:

How much are these coins worth?

Answers

Answer:

$1.97

Step-by-step explanation:

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

Answers

Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd answer

Step-by-step explanation:

Answer: 6, 10, 16

Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.

Take for instance

5, 11, 15

5+11= 16

16 is greater than 15

12+ 20= 32

32 is greater

12 + 20 = 32

32 is greater than 30

10 + 6 = 16

16 is not greater than 16

Hope this helps

solve for X !

answer quickly please

Answers

42 degrees
You do 3x+1=125 to get your answer
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