You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).

Answer:

[tex]\huge{\boxed{\sf{ 2 }}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( 1 , -5 ) [tex]\longrightarrow[/tex] ( x1 , y1 )

B ( 4 , 1 ) [tex]\longrightarrow[/tex] ( x2 , y2 )

Finding the slope :

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{1 - ( -5 )}{4 - 1}[/tex]

Slope = [tex]\frac{1+5}{4-1}[/tex]

Slope = [tex]\frac{6}{3}[/tex]

Slope = [tex]2[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

Answer:

Jade and Jackson

The total payback of this loan = $438,782.72

The interest of this total payback is $228,782.72

Step-by-step explanation:

a) Data and Calculations:

Mortgage = $210,000

Interest rate of mortgage = 5.7%

Monthly payment = $1,218.84

Using an online calculator for Mortgage Payoff, the Original Payoff Schedule  is:

Monthly Pay = $1,218.84

Total Payments = $438,782.72

Total Interest = $228,782.72

Answer:

Step-by-step explanation:

1218.84⋅12⋅30=$438,782.40

The total interest paid is the total payback less the amount borrowed.

$438,782.40−$210,000=$228,782.40

Answer:

14 month

Step-by-step explanation:

Lets create equations for these two gyms. I believe this is an algebra 1 problem.

Community Gym: y=70x+50

Workout Gym: y=60x+190

Because both gyms are equal to y, we can set them together and solve for x.

70x+50=60x+190

10x=140

x=14

You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months

Therefore, after 14 months you will have paid the same amount for both gyms.

Answer:

x = 14 months, $1030

Step-by-step explanation:

The expressions are,

→ 70x + 50

→ 60x + 190

Forming the equation,

→ 70x + 50 = 60x + 190

Now required value of x will be,

→ 70x + 50 = 60x + 190

→ 70x - 60x = 190 - 50

→ 10x = 140

→ x = 140/10

→ [ x = 14 months]

The amount of money will be,

→ 70(14) + 50 = 60(14) + 190

→ 980 + 50 = 840 + 190

→ $1030 = $1030

Hence, it will take 14 months.

Answer:

2

Step-by-step explanation:

Given the data:

Resort___________Location _____Daily Rate

Beaver Creek_____ Colorado______ $137

Deer Valley________ Utah_________$115

Diamond Peak______California_____ $95

Hunter____________New York_____ $79

Mount Bachelor_____Oregon______ $83

Butternut________ Massachusetts__ $108

The dataset above has two variables wgjich corresponds to the characteristic of each distinct element in the dataset. The variables are usually recognized as columns in a tabular dataset. The variables in the dataset above are :

Location and Daily rate which are attributes of each distinct Ski Resorts which corresponds to elements of the data.

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100

Answer:

13 bricks

Step-by-step explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick  = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

     Area of the patio = π r²

r is the radius of the patio;

   Radius  = [tex]\frac{13}{2}[/tex]

 So area = π  x ( [tex]\frac{13}{2}[/tex]) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

     1ft²  = 0.093m²

   116ft² = 0.093 x 116  = 10.79m²;

The number of bricks required to cover the patio = [tex]\frac{132.75}{10.79}[/tex]   = 12.3 bricks,

Realistically, about 13 bricks would be needed.

Answer:

no clue

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: the expression (120/100)*80 results in 80% of 120

Step-by-step explanation:

Answer:  336 is the sum of the non-median scores

Step-by-step explanation:  if the sum of 5 scores is 420, the average is 420/5 = 84  

That is also the median to be subtracted:  420-84= 336

Answer:

5356$

Step-by-step explanation:

206*26=5356

Answer:

-z/e

Step-by-step explanation:

-x/y = -z/e

Answer:

25

I hope this helps.

Answer:

Amy worked 25 hours

Step-by-step explanation:

To first start off we have the equation 12.5h= 312.5

from here, we divide by 12.5 to have h by itself inorder to find how many hours she worked as h stands for hours.

Once you divide 312.5 by 12.5 you get h=25

Once again, the h stands for hours, so this means that Amy worked 25 hours, and that for one hour she earned 12.5 dollars.

If you want to find how much money she made for example in 5 hours, all you have to do is plug in the 5 for h and multiply it by 12.50 to get how much she earned in that certain amount of hours!

Hope this helps! If you have any questions, feel free to ask! :)

Answer: c

i’m pretty sure it’s c

Answer:

B

Step-by-step explanation:

15 rows with 7 cookies is just multiplying, 15*7, to get how many cookies that's in the tray. There's also 9 trays, so we multiply (15*7) by 9

its 38 (sorry if i get u wrong)

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

C = chess

V = volleyball

B = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

Answer:

710300 is your answer if im not mistaken

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          [tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        [tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]

Looking at this integral we see that the interval is between [tex]0 \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       [tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]

Looking at this integral we see that the interval is between [tex]-\infty \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        [tex]\int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx[/tex]

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

If you want to learn more, you can read:

https://brainly.com/question/9351049

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

Answer:

0 to 10

Step-by-step explanation:

The first one is the answer

Answer:

7

Step-by-step explanation:

Answer:

46:74

Step-by-step explanation:

Answer:

She need to divide 24 by 2 to get 12. She can fill 12 tortillas

Step-by-step explanation:

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y