Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?

Answers

Answer 1

The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours: 1 2 3
Ieda: 19.50 30.50 41.50
Thanh: 20.50 31.00 41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
$11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
$19.50 + $11.00 = $30.50
Hour 3 (excluding initial price):
$30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
$10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
$20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
$31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)

Answer 2

Answer:

Step-by-step explanation:

Related Questions

The temperature in salt lake city was -10.6 degree c.which absolute value equation best describes how many degrees the temperature was below 0 degree c

Answers

Answer:

i know what question this is, thw answer is D, or |-10.6 = -10.6

Two minutes after a diver enters the water , he has descended 52 feet.after 5 minutes he has descended 130 feet at what rate is the scuba diver descending

Answers

should be 26 feet per minute.
because 130/5 equals 26 and so does 52/2

26 pés por minuto

^^^ 26 feet per minutes

The ratio of 7th grade students to 8th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in 7th grade?

Answers

17:23....added = 40

17/40(200) = 3400/40 = 85 (7th graders)
23/40(200) = 4600/40 = 115 (8th graders)

With the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

What is the ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

So, first, add the raions and then multiply the fractions with total students as follows:

17 + 23 = 40

7th grade:

200 × 17/40 = 85

8th grade:

200 × 23/40 = 115

So, with the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

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The distance between Oswego and Syracuse is 40 miles. if the car travels 8 miles from Oswego toward Syracuse and then stops, What percent of the trip between the cities did the car complete?

Answers

Answer:

The car completed 20% of the trip between the cities.

Step-by-step explanation:

The distance between Oswego and Syracuse = 40 miles

The car traveled from Oswego towards Syracuse = 8 miles

We have to calculate the percentage of the trip that the car completed.

8 miles out of 40 miles = [tex]\frac{8}{40}[/tex]

To calculate we have to multiply it by 100 and put the mark of percentage.

[tex]\frac{8}{40}[/tex] × 100

= 0.2 × 100 = 20%

The car completed 20% of the trip between the cities.

Write a real-world problem that can be solved using this equation 5x=3x+20

Answers

Lets say that u want to rent some movies. There are 2 video stores in ur town. Video store A charges 5 bucks per movie with no membership fee. Video store B charges 3 bucks per movie, but also charges a 20 dollar membership fee. How many movies must be rented for the video stores to charge the same amount ?

5x = 3x + 20
5x - 3x = 20
2x = 20
x = 20/2
x = 10.......at 10 movies, the 2 video stores charge the same amount

what is 3 5/10 - 4/8 answer quickly please and a explanation

Answers

I hope this helps you

The answer is 3. First simply 5/10 to 1/2. Then convert 3 1/2 to an improper fraction, by multiplying 2*3 and then adding 1, then put answer 7 over 2. Next simply 4/8 into 1/2. Subtract 7 and 1 and get 6. put 6 over 2 and dic=vide to get your answer which is 3.

A bakery used 2 cups of flour to make a full size cake. If they wanted to make a cake that was 0.23 the size, how many cups of flour would they need?

Answers

They would need .46 cups of flour

maria lives two and three fourths from her after school job. She rode her scooter from school to her job and back home. How far did Maria ride?

Answers

2 and 3/4 + 2 and 3/4= 4 and 6/4
4 and 6/4= 5 and 1/2 miles

u multiply 2/4 *2/4 which equals 1/4

#5

The price of a pair of shoes is marked down 33%. The original price was $59.85.

What is the sales price of the shoes?

A. $16.85

B. $19.75

C. $40.10

D. $45.00

Please and Thank You!

Answers

The answer is C. that is 67 percent of the original.

C. $ 40.10
First you have to find out which porcentage iss 33 out ouf $ 59.85

59.85/100 * 33= $19.75. Since you are reducing its value youll subtract, 59.85-19.75 = $40.10

Multiply.

653.8 × 0.02

A.
13,076

B.
1,307.6

C.
130.76

D.
13.076

Answers

D) 13.076 and in plus your using decimals not commas

the answer would be this D.
13.076

Explain how you know that 15/30 is greater than 1/3 but led than 2/3?

Answers

You covert them to a different fraction so that they all have the same denominator
15/30 stays the same
1/3 becomes 10/30 (multiply both numerator and denominator by 10)
and 2/3 becomes 20/30 (multiply both numerator and denominator by 10)

This way you can compare all fractions easily

The gas tank in your family's car was 7/8 full when you left your house. When you arrived at your destination, the tank was 1/4 full. What fraction of a tank of gas did you use during the trip? ASAP IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST!!!!!

Answers

5/8 i simply subtracted

7/8
end is 1/4

7/8-1/4
make bottom numbers same
1/4 times 2/2=2/8
7/8-2/8=(7-2)/8=5/8
you used 5/8 tank during the trip

Allison took 112 photos on vacation. she wants to put them in a photo album that holds 4 photos on each page .how many pages can she fill.?

Answers

She could fill 28 pages

28 pages is the correct answer

Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and 300 regular students took the test, what would you expect the average to be? How many of each kind of student would be needed to get a group of 90 students who average 87% on the test? Please include work/explaination, I along with a few of my classmates are confused by this problem. We are in a chapter about systems of equations.

Answers

Average (mean) = (sum of all the data) / (# of data)

sum of all the data = (average)(# of data)

Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300

and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500

Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %

Now if there are x # of advanced students and y # of regular students, then

x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)

The second equation can be simplified to x - 2y = 0

Subtracting the two equations yields

x = 60 and y = 90

Therefore you would need 60 advanced and 30 regular students.

which three of the following are correct

1/5 < 1/4
2/3= 5/9
1/3 = 2/6
3/4> 6/10
2/3 > 4/5

Answers

Get common denominators on the fractions in each expression

The first = true
The second = false
The third = true
The fourth = true
The fifth = false

Therefore, 1. 3. 4. are all true.

What fraction is equivalent to 14/25

Answers

56/100, 28/50, and so on by multiplying the same two number for both the numerator and the denominator.

An equivalent fraction to 14/25 is 56/100, which is found by multiplying both the numerator and the denominator of the fraction by 4. This method is useful to express the fraction with a denominator of 100, illustrating its percentage form.

A fraction equivalent to 14/25, you can multiply both the numerator (top number) and the denominator (bottom number) by the same integer. As an example, if you multiply both by 4, you get 56/100, which is equivalent to 14/25. This is because the value of the fraction does not change when you multiply or divide both the numerator and the denominator by the same non-zero number. Multiplying by 4 is a standard way of expressing a fraction where the denominator equals 100. This process is useful for understanding percentages since a denominator of 100 directly shows the percentage.

Hence, An equivalent fraction to 14/25 is 56/100.

Flyers are folded into thirds before being stapled and mailed. If a page is 11 inches long, how wide is each section?

Answers

3 2/3 You are very welcome

Answer: The width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

Step-by-step explanation:

Since we have given that

Length of a page = 11 inches

According to question, Flyers are folded into thirds before being stapled and mailed.

So, Width of each section is given by

[tex]\frac{11}{3}\\\\=3\frac{2}{3}\ inches[/tex]

Hence, the width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

Find each function value F(-7) if f(x)=8x+15

Answers

f(-7)
just sub -7 for x
f(-7)=8(-7)+15
f(-7)=-56+15
f(-7)=-41

Final answer:

To find the value of f(-7), substitute -7 into the function f(x) = 8x + 15. The value of f(-7) is -41.

Explanation:

To find the value of f(-7), we substitute -7 into the function f(x) = 8x + 15.

f(-7) = 8(-7) + 15 = -56 + 15 = -41.

Therefore, the value of f(-7) is -41.

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Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 6 boxes and souce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

The least number of dinners Manny can have without any supplies leftover is 6 dinners.

An adult African elephant weighs 8.25 tons, how much do 27 elephants weigh

Answers

445,500 lbs because you do 8.25x2000 then take that answer and x it by 27, I think

I do believe that you would multiply the number of elephants by how much one weighs on average.. That would mean 8.25x27 which would equal 222.75

i really need help!!!

Answers

(0,-2) (3,2)

m = -2-2 / 0-3 → m = -4/-3 → m = 4/3

y = 4/3x - 2

To check if your answer is correct, choose any of the two coordinates. Plug the x and y in the equation. For example, use (3,2).

2 = 4/3 (3) -2 → 2= 12/3 -2 → 2 = 4 - 2 → 2 = 2. So if you get an answer like this, it means it's correct.

how many 0.2 liter glasses of water are contained in a 3.6 liter pitcher

Answers

18 is da ansa XD ansa

merry Christmas and a happy new year :)

18 glasses of water
3.6/.2=18

How do I convert 0.4 into 1/250 how would I explain it???

Answers

The decimal number 0.4 is equivalent to 4/10 in fraction form. This fraction can be reduced to its simplest form by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF of four and 10 is two. Therefore, 0.4 is equal to 2/5.

What is an equivalent expression for 5(3x-2)

Answers

5(3x-2)

Multiply everything in the parenthesis

15x - 10

distribute
remember the distributive property
a(b-c)=ab-ac
5(3x-2)=5(3x)-5(2)=15x-10

A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?

Answers

I would have to say 72 because I did 36 times 2.... This is because the question says that the hooded sweatshirts are 2 times more..And the other brand already gave you how many they had.. I hoped that this helped. :)

Jorge bought a mechanical pencil for $8. A lead and eraser refill pack costs $2. Write a linear function to describe the cost of using the pencil as a function to describe the cost of using the pencil as a function of the number of refill packs.

Answers

Final answer:

The linear function to describe the cost of using the pencil as a function of the number of refill packs Jorge buys is C(x) = 8 + 2x, where C(x) is the total cost and x is the number of refill packs.

Explanation:

Jorge bought a mechanical pencil for $8, and each lead and eraser refill pack costs $2. To describe the cost of using the pencil as a function of the number of refill packs, we can write a linear function. The initial cost of the pencil is a fixed cost, and the cost of each refill pack is a variable cost.

Let's let x represent the number of refill packs, and C(x) represent the total cost of using the pencil. The linear function for the cost would then be:

C(x) = 8 + 2x

Here, $8 represents the fixed cost (the cost of the pencil), and $2 is the cost per refill pack, so 2x represents the variable cost (the cost of x refill packs).

Final answer:

The linear function that describes the cost of using the pencil as a function of the number of refill packs is Cost(x) = 8 + 2x.

Explanation:

To write a linear function that describes the cost of using the mechanical pencil as a function of the number of refill packs, we need to consider the initial cost of the pencil and the cost of each refill pack.

Let's assume x represents the number of refill packs.

The initial cost of the pencil is $8, which remains constant regardless of the number of refill packs.

The cost of each refill pack is $2, and it increases linearly as the number of refill packs increases.

Therefore, the linear function that describes the cost of using the pencil as a function of the number of refill packs is:

Cost(x) = 8 + 2x

Which ordered pairs match the mapping diagram?

A) (1, 0), (7, 2), (3, 4), (-1, 1), (-7, -6)

B) (0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

C) (0, 1), (0, 4), (0, 7), (2, 7), (-6, 7)

D) (0, -1), (2, -7), (-3, 4), (4, 1), (6, 7)

Answers

The answer is B because on the diagram, the left side is all of the x's and the right side is all of the y's

B) (0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

It's reason can be explain through diagram, just observe & hit the answer.

Hope this helps!

what all equal. 9 in addition

Answers

9 + 0
9 +1
6 + 3
8 + 1
7 + 2
4 + 5

6+3 8+1 9+0 7+2 5+4 Hope that helps

.008 is 1/10 of what decimal

Answers

0.08

just multiply by 10

0.08, .008 x 10 is 0.08

Jeff left 4/5 of the pumpkin pie in the refrigerator on Saturday he ate 1/2 if what was left of the pie what fraction of the entire pie did he eat on Saturday

Answers

He ate 2/5 of the pie on Saturday.

Jeff ate 2/5 of the entire pumpkin pie on Saturday, calculated by multiplying 1/2 by the 4/5 which was left in the refrigerator.

The question asks what fraction of the entire pumpkin pie Jeff ate on Saturday if he left 4/5 of it in the refrigerator and then ate 1/2 of what was left. To solve this, we'll calculate the fraction of the pie he consumed using multiplication.

He started with 4/5 of the pie left. Eating 1/2 of what was left means he consumed 1/2 of 4/5, which can be calculated as:

(1/2) times (4/5) = 4/10 = 2/5

Jeff ate 2/5 of the entire pumpkin pie on Saturday.

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