A yoga instructor offers two options for classes. Option 1: $40 joining fee and $20 per class Option 2$0 joining fee and $25 per class After how many classes will both options have the same cost?

Answers

Answer 1

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200


Related Questions


A company that makes hair care products had 9,000 people try a new shampoo. Of the 9,000 people,
18 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Answers

Answer:

0.2%

Step-by-step explanation:

18/9000×100%

now use calculator

Answer: 0.2 percent

Step-by-step explanation:

This is the number of people who were allergic to the shampoo/ total people

18/9000

Simplify!

1/500=0.02=0.2 percent of people

A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality

Answers

Answer:

0.5 gallons per hour

Step-by-step explanation:


I need help with this

Answers

Answer:

A.

Step-by-step explanation:

I gotchu fam. The first thing that you would want to do is find the slope. The slope is the change in y divided by the change in x. Based on the points on the line, the change in y is 2 because it goes up two, and the change in x is one because it goes over 1. This would make your slope 2/1, or just 2! Now we have our slope, so we want to find our y-intercept. There are two ways that we can do this. The first way is just eyeballing it, but sometimes that's not always accurate. We're just going to do that because its faster (lol). It looks around -2. With this information, we have our entire equation! y=mx+b. we can plug in our information. y=2x-2. And that's how your answer's A! Hope this helps.

What is the only number that is a factor of every number?
A.5
B.2
C.1
D. 3.54

Answers

The only number that is a factor of every number is : 1

Answer:

the answer of the question is c.1

Find the size of the angle 2 x

Answers

Answer:

Given - Angles measure 2x , X and 3x

To find - Measures of 2x

Solution -

2x + X = 180° ( forming linear pair )

3x = 180°

x = 180/3

x = 60°

2x = 2 × 60 = 120°

Answer:

120°

plz give brainlist

Step-by-step explanation:

since 2x and x form a straight angle you get the equation

2x + x = 180

combine like terms

3x = 180

devide by 3

x = 60

evaluate 2x

2(60) = 120

Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?

Answers

Answer:

Yes

Step-by-step explanation:

This is becuase 46 x 1.06= 48.76, thats less than $50.

Answer:

yes

Step-by-step explanation:

tax will be $2.76 therefore it will come up to $48.76

Express as a fraction or a mixed number
1 1/2%

Answers

Answer:

5 and 1/2

Step-by-step explanation:

I need help right now brain listed if somone helps me!​

Answers

Answer:

6/5

Step-by-step explanation:

Remember:  to divide a number by a fraction, invert the fraction and multiply.

Here "the number" is 4/5 and you want to divide it by 2/3.  Invert the '2/3', obtaining 3/2, and then multiply the '4/5" by '3/2":

12/10 = 6/5 (answer)

Helppp pleaseeee xxxxx

Answers

Answer:

[tex] h = 3\sqrt{3} [/tex]

[tex] c = 4\sqrt{2} [/tex]

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

[tex] tan(60) = \frac{h}{3} [/tex]

[tex] \sqrt{3} = \frac{h}{3} [/tex] (tan 60 = √3)

Multiply both sides by 3

[tex] 3\sqrt{3} = h [/tex]

[tex] h = 3\sqrt{3} [/tex]

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

[tex] cos(45) = \frac{c}{8} [/tex]

[tex] \frac{\sqrt{2}}{2} = \frac{c}{8} [/tex] (cos 45 = √2/2)

Multiply both sides by 8

[tex] \frac{\sqrt{2}}{2} \times 8 = c [/tex]

[tex] \sqrt{2} \times 4 = c [/tex]

[tex] c = 4\sqrt{2} [/tex]

Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3

[?]*10

Answers

Answer:

Step-by-step explanation:

6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3

Answer:-7.137 x 10^-3

Step-by-step explanation:

Thee questionn is beloww

Answers

Given:

[tex]m\angle ABC=60[/tex]

To find:

The [tex]m\angle ADC[/tex].

Solution:

In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

[tex]m\angle ABC=2(m\angle ADC)[/tex]         [Central angle theorem]

[tex]60=2(m\angle ADC)[/tex]

Divide both sides by 2.

[tex]\dfrac{60}{2}=m\angle ADC[/tex]

[tex]30=m\angle ADC[/tex]

Therefore, [tex]m\angle ADC=30[/tex].

Lucy $154 made for 11 hours of work. At the same rate, how much would she make for 8 hours of work?

Answers

Answer:

19.25

Step-by-step explanation:

What is the inverse of the function f(x) = x +3?

Answers

1- First, replace f(x) with y

f(x) = x +3  ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3  ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

The inverse is f⁻¹(x) = x-3

At Barlow school, 4/9 of the 873 students are boys. At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?

Answers

Answer:

I have attached the answer

unit rate of 122 and 10 please

Answers

The unit rate is 4.72 times re amount of phechel matter there is

Mr.Farrar spent a total of $43.87 after tax on new clothes at a clothing store. He brought 1 pair of sandals for $8.02 t-shirts fo $9.49 each and 1 pair of jeans. The tax on the purchase was $2.87 how much did Mr.Farrar pay for the pair of jeans?

Answers

Answer:

43.87 - 8 = 35.87  (sandals)

9.49 + 9.49 = 18.98 ( for two t-shirts)

35.87 - 18.98 = 16.89 (t-shirts)

16.89 - 2.87 = 14.02 (taxes)

Andrea payed $14.02 for a pair of jeans

Hopes this helps you!

Step-by-step explanation:

3/5+(-7/5)= can someone help me with this please

Answers

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Because both of the fractions have a common denominator they can be subracted without any other work.

Which substitution method should be the best used to solve which system of equations

Answers

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

A large rectangle is made by joining three identical small rectangles as shown.

The perimeter of one small rectangle is 21cm. The width of one small rectangle is x cm.

Work out the perimeter of the large rectangle. The final line of your answer should be the form, perimeter of large rectangle is ...cm

Answers

Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

Is 5/12 closer to 0, 1, 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

Helpppp pleaseeeeeeee

Answers

Answer:

x= 6.85 or 89/13

Step-by-step explanation:

perimeter is sum of all sides added, so add them all and set them equal to 84

4(x-3) + 3x - 1 + 6x + 8 = 84

distribute

4x + 12 + 3x - 1 + 6x + 8 = 84

combine like terms

13x - 5 = 84

solve for x

x = 89/13 = 6.85

Find the LCM of the denominators in these fractions
5/6 and 1/14

Answers

Answer:

35/42 and 3/42

Step-by-step explanation:

Multiply by 3.

HOPE THIS HELPS :)

The LCM of the denominators in the fractions 5/6 and 1/14 is 42.

What is Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

To find the least common multiple (LCM) of two numbers, you can list the multiples of each number and find the smallest number that is a multiple of both.

The multiples of 6 are 6, 12, 18, 24, 30, and so on. The multiples of 14 are 14, 28, 42, 56, and so on. The smallest number that is a multiple of both 6 and 14 is 42, so the LCM of 6 and 14 is 42.

Therefore, the denominators in the fractions 5/6 and 1/14 have an LCM of 42.

To learn more about the Least Common Multiple(LCM) here :

https://brainly.com/question/17256135

#SPJ2

What is the range of h

Answers

“B” is the answer I think

How many natural numbers are between 34 and 72? and, how many whole numbers between -2 and 25?

Answers

Answer:

There are 37 natural numbers between 34 and 72.

There are 25 whole numbers between -2 and 25.

Step-by-step explanation:

1. Natural numbers between 34 and 72

2. Whole numbers between -2 and 25

1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.

2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.

Solve for n.
below
.....................

Answers

Subtract 8 from both sides
-n = -12
Divide by -1
Solution: n = 12

Answer:

n = 12

I hope this helps!

Please help I'll give brainlest

Which of the following is 1,215 divisible by? Select all that apply.
A.3
B.2
C.9
D.10
E.5
F.8
G.4
H.6

Answers

Answer: A,C,E

Step-by-step explanation:

All of the other answers give you a decimal.

Answer:

ACE

Step-by-step explanation:

A

1215 divided by 3 = 405

B

1215 divided by 9 = 135

C

1215 divided by 5 = 243

*The other answers can give a decimal answer.

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.


What is the slope of the line?

- 1 / 4

- 8 / 17

- 4

- 6

Answers

Answer: The slope of the line = 4.

Step-by-step explanation:

We know that ,

Slope of a line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here , the line passes through points (2,18) and (8,42).

Then the slope of the given line = [tex]\dfrac{42-18}{8-2}[/tex]

[tex]=\dfrac{24}{6}=4[/tex]

Hence, the slope of the line = 4.

Answer:

4

Step-by-step explanation:

i took the test and got it right

Find the indicated probability.
If P(A or B) = 0.8, P(A) = 0.4, and P(A and B)= 0.15, find P(B).
P(B)=
(Simplify your answer. Type an integer or a decimal.)

Answers

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]

9 × ( 6+ 11 ) = (9 6) (9 11)​

Answers

assuming the 9 6 and 9 11 are fractions, we get:

9 x ( 6 + 11 ) = (9/6) (9/11)​ =

153 = 27/22

Answer:

9(17) = (9 x 6)+(9 x 11)

153 = 54 + 99

153 = 153

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

A salesperson at a jewelry store earns ​5% commission each week. Last​ week, Heidi sold 640 worth of jewelry. How much did Heidi make in​ commission? How much did the jewelry store make from ​sales?

Answers

Answer:

12,800 Dollars USD

Step-by-step explanation:

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