1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
3 years ago
6

A piano instructor charges students a one time fee for sheet music and an hourly rate for lessons. the graph below shows the tot

al cost for a student who has taken x classes. To increase her number of students, the instructor put a coupon in the local paper offering to waive the one-time fee for new students. What is the value of the coupon
14$
20$
30$
50$

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

Option (2)

Step-by-step explanation:

Relation between fee charged by piano instructor and the lessons has been shown in the graph.

Two points passing through the line are (2, 80) and (4, 140)

Let the one time fee = $b

Hourly charges for the lessons = $x

Equation of the line will be,

y = mx + b

Slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

m = \frac{140-80}{4-2}

m = \frac{60}{2}

m = 30

y = 30x + b

For point (2, 80),

80 = 30(2) + b

b = 80 - 60

b = 20

Therefore, one time fee charged by the instructor = $20

Since instructor put a coupon to waive off the one time fee, value of the coupon will be = $20

Option (2) is the answer.

You might be interested in
David brought a variety pack of delicious donuts for his daughters Amy & Anna. Amy ate 2/3 of the pack and Anna devoured 1/4
Naya [18.7K]

Answer:

12

Step-by-step explanation:

Let the total number of donuts in the pack be x.

Amy = 2/3x

Anna = 1/4x

David = 1

x - 2/3x - 1/4x = 1

Find common denominators for 2/3 and 1/4

The common denominator is 12

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

x - 8/12x - 3/12x = 1

x - 11/12x = 1

1/12x = 1

x = 12

You can always check

Amy = 8

Anna = 3

So David must equal to 1

Hope this helps :)

Have an awesome day!

6 0
3 years ago
Commutative Property of Addition<br><br> 25 + (-x) =
creativ13 [48]

Answer:

x is 25

Hope it helps.....

3 0
3 years ago
Read 2 more answers
Help please thank you
Wewaii [24]

Answer:

Exponential

Step-by-step explanation:

Exponential describes a very rapid increase. An exponential rise in the number of first graders with head lice might be a result of all the hat sharing that's gone on lately.

Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. When your next door neighbor describes the exponential growth of her rose bushes or the exponential increase in members of her book group, she means that there's been a sharp, fast expansion of both things.

5 0
3 years ago
Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and lar
bija089 [108]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics. Spencer wants to test the
pickupchik [31]

Answer:

C) 3.03

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

                 Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

<u><em> Step(ii):-</em></u>

<em>                </em>Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }<em></em>

<em>               Z =  3.03</em>

<u><em>Final answer:-</em></u>

<u><em>The Z-score = 3.03</em></u>

6 0
4 years ago
Other questions:
  • Udlinius<br>6x – 12 = 6(x - 2)​
    5·1 answer
  • How would adding a score of 0 to this data affect the mean and median game scores - i ready lesson ......Choice of measures of c
    15·1 answer
  • Solve the equation by completing the square. If necessary, round to the nearest hundredth.
    15·2 answers
  • Camacho is buying a monster truck. The price of the truck is xx dollars, and he also has to pay a 13\%13% monster truck tax.
    12·1 answer
  • What are the coordinates of the root of the equation x^2+4x+3=0
    9·1 answer
  • Whil shopping I spend $48. If I spent 15% of my savings, how much savings did I have before I went shopping?
    8·1 answer
  • Electric &amp; energy energy answer sheet
    7·1 answer
  • Please need help thank you
    13·1 answer
  • Which are correct representations of the inequality –3(2x-5) &lt;5(2 - x)? Select two options.
    13·1 answer
  • Help me with this question please!! :)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!