Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Jacob Sells Lemonade At A Park. His Cost To Sell The Lemonade Is A One-time Fee For The Table,plus A

Answers

Answer 1

The required equation that represents the graph is y = x + 30

The standard linear equation is given as y = mx + b

m is the slope b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

The required equation that represents the graph is y = x + 30

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


Related Questions

Points​ E, D, and H are the midpoints of the sides of ΔTUV. UV​=82, TV=106​, and HD= 82. Find HE.

Answers

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12

Answers

Check the picture below.

I thought of a number. This number double is 7 less than 29. What is my number? hurry please

Answers

Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

Answer:

11

Step-by-step explanation:

Let x be your number

Is means equals

2x = 29-7

2x= 22

2x/2 = 22/2

x =11

Liz has 72 stamps in her stamp collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many times larger than Risa’s? Choose the answer that has the correct equation AND the correct solution to the equation.
9x = 72; x = 8 times as many stamps
9 + x = 72; x = 63 times as many stamps
9x = 72; x = 7 times as many stamps
72x = 9; x = 8 times as many stamps

Answers

Answer:

9x = 72; x = 8 times as many stamps

Step-by-step explanation:

Answer:

9×=72;×=8 times as many stamps

An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current

Answers

The current flowing in the AC circuit is 0.11 A.

The given parameters:

Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 Hz

The impedance of the circuit is calculated as follows;

[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]

The current in the AC circuit is calculated as follows;

[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]

Thus, the current flowing in the AC circuit is 0.11 A.

Learn more about AC circuit here: https://brainly.com/question/14341432

Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?

Answers

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!

Answer: 252 miles

Step-by-step explanation:

Help Me someone help

Answers

Answer:

5:1

Step-by-step explanation:

divide eatch side

Answer:

It's 1:5

Step-by-step explanation:

A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?

Answers

Answer: 3 hours

Step-by-step explanation:

Statement of cash flows (partial)

Answers

Yeaa that is what the problem is

This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)

Answers

Answer:

1950-1980

Step-by-step explanation:

...........

9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)

Answers

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)

Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650

A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?

Answers

Answer:

His son is 3 years old.

Step-by-step explanation:

33 years old ... 3 less than ....  =  36

36/12  =  3

y = x^2+5x-3
y-x=2

What is the solution of the linear-quadratic system of equations

Answers

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

what is the solution to the system 3x+2y=-3 and 9x +4y=3

Answers

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

To eliminate this question we can divide the top part by -3:

[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]

Let‘s sum these system of equation and we get: [tex]y=-6[/tex]

We can now insert y as -6 and solve for x:

[tex]3x-12=-3[/tex]

[tex]x=3[/tex]

So, [tex]x=3, y = -6[/tex]

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )

What is the third number in this sequence?

Answers

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.

PLEASE HELP Me​

Answers

Answer:11. 6 + n = 2012. n - 7 = 2013. n + n + 1 = 3114. 2n + 2 = 1315. n - 1 = 18 16. n² + 4 = 2x17. 2n = 1/218. n²/2 = 1819. n/2 + 90/2 = 7020. 2 + n = 12

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]

2.5 x 10^3 times what number is equal to 5 x 10^6?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2000.

Step-by-step explanation:

First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000

then divide 5000000/2500 = 2000

What are the coordinates of B

Answers

Answer:

(-4,-5)

Step-by-step explanation:

The coordinates of the midpoint for x = sum of x/2=2

The coordinates of the midpoint for y = sum of y/2=-2

firstly to work out x coordinate:

[tex] \frac{x + 8}{2} = 2[/tex]

rearrange to find x which is -4

work out y coordinate:

[tex]\frac{y + 1}{2} = - 2[/tex]

rearrange to find y which is -5

so coordinates are (-4,-5)

fnd the highest common factor of -8xy and 20y

Answers

Answer:

[tex]\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}[/tex]

Step-by-step explanation:

[tex]-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}[/tex]

The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?

A. 14 cm

B. 49 cm

C. 60 cm

D. 7 cm

Answers

Answer:

the answer is 14

Step-by-step explanation:

[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]

hope this helped

The sum of the bases of a trapezoid using height is 20 cm is 14 cm.

Thus, option (A) is correct.

The formula to calculate the area of a trapezoid is given by:

Area = 1/2 x height x sum of bases

Given that the area is 140 cm² and the height is 20 cm.

Now, rearrange the formula to solve for the sum of the bases:

Sum of bases =  (2 x Area) / (height)

Substitute the given values:

Sum of bases =  (2 x 140) / (20)

                       = 14

So, the sum of the bases is 14 cm.

Thus, option (A) is correct.

Learn more about area of Trapezium here:

https://brainly.com/question/16508383

#SPJ3

Could somebody please explain this to me?​

Answers

Answer: call 911

Step-by-step explanation: call 911

b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages

Answers

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Help , please ?? If you can thank you ..4 more

Answers

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

Lashonda finished a race in 5 minutes. How many seconds is this

Answers

Answer:

300 seconds

Step-by-step explanation:

There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.

5 x 60 = 300

-hope it helps

Answer:

360 sec

Step-by-step explanation:

this is because 60sec is one mintute

so 60x5= 360

how can I simplify of 9/20:3/5 please explain step by step

Answers

Answer:

Mark as brainlist

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor. Reciprocal of 35: 53.

So, 920 ÷ 35 = 920 × 53.

= 9 × 520 × 3 = 4560.

After reducing the fraction, the answer is 34.

Answer:

3/4

Step-by-step explanation:

9/20:35=9/20/3/5

=9/20*5/3

=45/60

=simplify both numbers by 15

=3/4

PLEASE I NEED FAST CLEAR ANSWERS

Answers

Answer:

A, B and C

Step-by-step explanation:

They all can mirror to overlap perfectly with the other side of the shape.

D and E can not

I hope this helps :)

Answer:

A    C     B

Step-by-step explanation:

those are the right answers i just did it hope it helps

A farmer's total payment for tools and compost over the course of two years is $27,894. Write and
solve an equation to find the payment for the second year if the first year’s payment is $10,205.

Answers

Answer:

The second years payment is 17689.

Step-by-step explanation:

If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.

Equation: $27894-$10,205= $17689

Birdseed costs ​$0.57 a pound and sunflower seeds cost ​$0.87 a pound. Angela​ Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for ​$0.81 per pound. How many pounds of each type of seed should she​ use?

Answers

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

Which of the following is a rational number?

Answers

the correct answer is B

84/120 equivalent fraction

Answers

Answer:

7/10

this should work

Step-by-step explanation:

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