The cost, in dollars, of making x cups of lemonade is x+25. The predicted revenue is 12+2x dollars. Write a polynomial that represents the profit of selling x cups of lemonade. If you sold 20 cups of lemonade, will you make a profit? (yes or no)

Answers

Answer 1

Answer:

P = x - 13

Yes, you will make a profit

Step-by-step explanation:

Given;

cost of making x cups, C = x + 25

predicted revenue, R = 12 + 2x

Profit of selling x cups is given by;

P = R - C

P = (12 + 2x) - (x + 25)

P = 12 + 2x - x - 25

P = x - 13

When 20 cups of  lemonade are sold, the profit made can be estimated using the profit function above;

P = x - 13

P = 20 - 13

P = 7

Thus, you will make a profit


Related Questions

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to

Answers

Given that,

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

For peanut, the cost is ratio is

[tex]\dfrac{5}{3}[/tex]

For beef, the ratio is

[tex]\dfrac{7}{4.2}[/tex]

If we take cross product of these items,

[tex]\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21[/tex]

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.

Answer:

21

Step-by-step explanation:

I need help #17 please!

Answers

Answer:

Step-by-step explanation: it would be B= 3/20

hope this helps!!!!

Answer: B) m=3/20

Step-by-step explanation: X is increasing by 3 each time, while Y is increasing by 20. Therefore, it is 3/20.

Find the measure of each angle.

Answers

Answer:

I mite be rong but I think 8x and 3x

hey help quick...please

Answers

Hope to help you, have a good day!

Answer:

A

Step-by-step explanation:

2Red                                            6 Blue Balls

+4Yellow                                  

= 6 balls    

find the missing side lengths!! pls help!!!!!!!!! marking brainliest

Answers

Answer:

y = 5.19615 or 3√3

x = 10.3923 or 6√3

also missing angle is 60°.

hope this helps!

Step-by-step explanation:

What is the image of (9,-6) after a reflection over the y-axis?

Answers

Answer:

(- 9, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(9, - 6 ) → (- 9, - 6 )

Pls help meeeeeeee Solve 10 + 6p = 22

Answers

Answer:

p=2

Step-by-step explanation:

22-10=12

12/6p=2

10+6p=22
6p=22-10
6p=12
6p=12
— —
6 6

P=2

solve 2x-4y=10 and x+5y=40

Answers

Answer:

y = 1/2x + 2.5 and y = -1/5x + 8

Step-by-step explanation:

2x - 4y = 10 (subtract 2x on each side)

-4y = -2x + 10 ( divide by - 4 on both sides)

y = 1/2x + 2.5

x + 5y = 40 (subtract x on both sides)

5y = -x + 40 (divide by 5 on both sides)

y = -1/5x + 8

Hope this helped!!

Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, per hour?

Answers

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

She hike 1.5 miles  per hour.A common unit of measurement is the mile (mi).

How to fast she hike per hour?

1.609344 kilometers are exactly one unit of length. mile, any of several different measures of distance, such as the statute mile, which has a length of 5,280 feet, is also equivalent to 1,760 yards (1.609 km). It derives from the mile passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

A common unit of measurement is the mile (mi). It is typically used to express the distance between cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 miles or 26.3 mi in length.

Given ,

1/4hrs=15mins

15mins=3/8miles

60mins=more

60/15 × 3/8

=4/1 × 3/8

=12/8

=1.5miles

Therefore 1.5 miles fast she hike per hour.

To learn more about Miles calculation refer to:

https://brainly.com/question/26046491

#

use the graph to answer the following question. For what values of x does f(x)=4​

Answers

0,4

is where it would land and you can

Hayden likes building radio-control sailboats with his dad.One of the sails shaped like a triangle has side lengths measuring 6 inches 8 inches and 10 inches. To log her activity Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4 creat a scale drawing of the sail.

Answers

Answer:

1.5 inches ; 2 inches ; 2.5 inches

Step-by-step explanation:

Given that the original measurement of the triangular sail is :

6 inches, 8 inches and 10 inches

Scale factor = 1/4

Hence, scaled diagram of the triangular sail :

1/4 * (6 inches, 8 inches, 10 inches)

1/4 * 6 = 1.5 inches

1/4 * 8 = 2 inches

1/4 * 10 = 2.5 inches

represent in number line
1/5 and 2/5

Answers

I’m not sure if I’m right but here’s my answer:

See picture for math work and answer.

use the zero product property to find the solutions to the equation (x+2)(x+3)=12

Answers

Answer:

x=-6, x=1

Step-by-step explanation:

The zero product property

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

Two numbers that are the same distance from zero on a number line are called ___ numbers

Answers

Answer:

They are called opposites.

Step-by-step explanation:

"Zero is called the origin, and it's neither negative nor positive. For every positive integer, there's a negative integer an equal distance from the origin. Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, negative 5 is the opposite of positive 5."

-Google

Hope this helps :)

daniel kicks a soccer ball and the trajectory is modeled by f(t) = -16t^ +32t. what would be the value of f(1)

Answers

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

Answer:

f(1)=16

Step-by-step explanation:

Use the figure to find the measures of the numbered angles.

Answers

Answer:

95 degrees is the measure of 3 just like the other angle because they equal each other the angle of 4 you would find out by subtracting 180-95=85. so the measure of 3 is 95 and the measure of 4 is 85

b) Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest

Answers

Answer:

1, 2, 3, 4, 6, 9, 12, 18

A truck can be rented from company A for $120 a day plus $0.50 per mile. Company b chargers $80 a day plus $0.70 per mile to rent the same truck. Part A write a equation. To find the number of miles in a day at which the rental costs for company A and company B are the same Part b solve the equation

Answers

Answer:

Part A: [tex].50x+120 = .70x+80[/tex]

Part B: [tex]200[/tex] miles

Step-by-step explanation:

So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex]  where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.

Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]

Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]

Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.

Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]

Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.

To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get  [tex]-.20x+120=80[/tex]

Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]

Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]

This means that at [tex]200[/tex] miles, both companies will cost the same amount.

Solve for r:
6r-12=-30

Answers

Answer:

r=-3

Step-by-step explanation:

the first step in this equation is to isolate 6r,to do this you got to add 12 to -30 which you get -18 which gives the equation 6r=-18 which now you got to divide both sides by 6 which you should get r=-3

Answer:

r=-3

Step-by-step explanation:

add 12 to -30 you get -18 divide -18 by 6 and you get -3


Find the x- and y-intercepts :

Y= 3x + 9

Answers:

y = -3 and x = 9

y = 9 and x= -3

Which one should I choose?


Answers

Answer:

(y= -3 and x = 9)

Step-by-step explanation:

For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.

y=9 and x=-3 is the right choice

Souvenir hats, T-shirts, and jackets are sold at a rock concert. Three hats, two T-shirts, and one jacket cost $40. Two hats, two T-shirts, and two jackets cost $60. One hat and three T-shirts cost $10. Find the prices of the individual items. (you have to use substitution and/or elimination method, NO matrix or Graph.)

Answers

Answer:

j = 24

t = 2

h = 4

Step-by-step explanation:

Three hats, two T-shirts, and one jacket cost $40.

3h + 2t + j = 40

Two hats, two T-shirts, and two jackets cost $60.

2h + 2t + 2j = 60

One hat and three T-shirts cost $10.

h + 3t = 10

3h + 2t + j = 40 (1)

2h + 2t + 2j = 60 (2)

h + 3t = 10. (3)

From (3)

h = 10 - 3t

Substitute into (1) and (2)

3(10 - 3t) + 2t + j = 40 (1)

2(10 - 3t) + 2t + 2j = 60 (2)

30 - 9t + 2t + j = 40

20 - 6t + 2t + 2j = 60

- 7t + j = 40 - 30

-4t + 2j = 60 - 20

-7t + j = 10 (1a)

-4t + 2j = 40 (1b)

Multiply (1a) by 2

-14t + 2j = 20

-4t + 2j = 40

Subtract to eliminate j

-4t - (-14t) = 40 - 20

-4t + 14t = 20

10t = 20

t = 20/10

t = 2

Substitute t = 2 into

h = 10 - 3t

h = 10 - 3(2)

= 10 - 6

= 4

h = 4

Substitute t = 2 and h = 4 into

3h + 2t + j = 40

3(4) + 2(2) + j = 40

12 + 4 + j = 40

16 + j = 40

j = 40 - 16

= 24

j = 24

How would -9-(-5) look like as an addition problem?

Answers

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

Answer:

-9 + 5

Step-by-step explanation:

If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5

· Jim put a fence around a rectangular area. A scale drawing of the area
has a length of 3.5 inches and width of 2.5 inches. If the scale of the
drawing is 1 inch = 5 feet, what is the actual perimeter of the fenced
area?

Answers

Answer: 73 feet

Step-by-step explanation:

1inch =5feet

L=3.5 inches W=2.5 inches

P= L1+L2+W1+W2

L=3.5(5) =17.5

W= 2.5(5) = 12.5

17.5+ 17.5 +12.5+ 12.5= 73 feet

Can someone please tell me the answers!?!?! It’s due today! (I’ll give brainliest to the one who is right)

Answers

-3                   -24

-120               9

-21                  -9

8                   -48

Answer:

(-27) / 9 = -3                   4 * (-6 )= -24

12 * (-10) = -120              (-45) / (-5) = 9

7 * (-3) = -21                    72 / (-8) = -9

64 / 8 = 8                        (-8) * 6 = -48

Find the slope
please help!

Answers

Answer: the slope is 1/1

Step-by-step explanation:

it rises up 1 and goes over 1

Answer:

4/5

Step-by-step explanation:

(4, 2)

(-1, -2)

Slope = (y2 - y1)/(x2 - x1)

2 - (-2)/4 -(-1)

Slope = 4/5

Hope this helps!

Let me know if I'm incorrect :)

PLEASE HELP!!!

Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represents the change Tony has in his car?

Answers

Answer:

I'd assume the last one but I don't know exactly what the graph is measuring

Who wants to smash some COD in the morning

Answers

Which COD do you have? And what console??

Answer:

Sorry Ion play COD

Step-by-step explanation:

Which value is a solution of the equation 3 - 2x=-5?
02
04
0-2
01/5

Answers

Answer:

4

Step-by-step explanation:

answer is four don't worry it's correct

The value is a solution of the equation is x= 4.

The correct option is B.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have an Equation as 3- 2x  = -5.

Now, solving the above equation for x

Subtract 3 from both side

3- 2x - 3 = -5 -3

-2x = -8

Now, divide both by (-2) we get

-2x/(-2) = -8/(-2)

x = 4

Thus, the value of x is 4.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ7

help i need an answer asap

Answers

Answer:

The answer is 3.7

6+4=210
9+2=711
8+5=313
3+2=15
8+3=??

Answers

Answer:

11

Step-by-step explanation:

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