Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?

$15 per hour
$22 per hour
$26 per hour
$37 per hour

Given parameters:

 20 comics costs $5

  30 comics costs $7.50

Unknown:

Sale price per comic =   ?

Solution

The sale price per comic is ;

       = [tex]\frac{cost}{number of comics }[/tex]

       = [tex]\frac{5}{20}[/tex]  

       = $0.25 per comic

The cost per comic is $0.25 per comic

Answer:

0.25

Step-by-step explanation:

Answer:

I'm pretty sure Carly isn't correct.

Step-by-step explanation:

If I'm not mistaken, the ratio would be 4:3....

If I'm wrong, go ahead, sue me.

Let's verify by substituting 1 to x.

2 - 8x = -6

2 - 8(1) = -6

2 - 8 = -6

-6 = -6

It is equal, therefore x = 1 is the solution.

Answer:

yes

Step-by-step explanation:

Substitute x = 1 into the left side of the equation and if equal to the right side then it is a solution.

2 - 8(1) = 2 - 8 = - 6 = right side

Thus x = 1 is a solution of the equation

Answer:

lifeguarding: 6 hours

tutoring: 10 hours

Step-by-step explanation:

First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:

11x + 22y

Then, write a system of equations to be able to find both variables.

If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:

x + y = 16

If Parker earned a total of $242, then you know that his combined pay will be:

11x + 22y = $242

Now, you solve the system of equations (IMAGE.A):

First, solve for x:

11x + 22y = 242

11x = 242 – 22y

x = 22 – 2y

Now, plug in the x-value in the other equation:

x + y = 16

22 – 2y + y = 16

22 – y = 16

–y = –6

y = 6

This means that he has worked 6 tutoring hours.

Now, plug in the y-value to find the x-value:

11x + 22y = 242

11x + 22(6) = 242

11x + 132 = 242

11x = 110

x = 10

this means that he has worked 10 lifeguarding hours.

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

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

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

Answer:

x>12

This is the answer

Answer:

2x^2=80

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

Complete Question

Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft

Answer:

765 square ft

Step-by-step explanation:

2/3 gallon of paint = 255 square feet

2 gallons of paint =

Cross Multiply

2 × 255 square feet/2/3 gallon of paint

= 510 ÷ 2/3

= 510 × 3/2

= 765 square feet

Answer:

m = 1

Step-by-step explanation:

Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.

Answer:

b= -1

m=1

Step-by-step explanation:

the equation for a linear graph is y=mx+b

your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)

therefore the equation would be

y=1x-1 or y=x-1

Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

Answer:

Distributive Property

Step-by-step explanation:

4(x-6)=5.4x-24

4x-24=5.4x-24

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100

Answer:

x=4

Step-by-step explanation:

2x=12-4

2x=8

2x/2=8/2

x=4

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Find the y-intercept by plugging in x = 0:

  y = 3x^2 - 12x - 5

  y = 3(0^2) - 12(0) - 5

  y = 0 - 0 - 5

  y = -5

(0, -5)

Answer:

1st = 6

2nd = 0

3rd = -1

4th = 2

Step-by-step explanation:

Got it right on EDGE

Hope this Helps!

Have a great day!

pls thank and rate!

Thank u and God bless!

:)

The solutions of the expression for the different values of x will be,

5-x/3 = 6

-2 + 2x/3 = -1

-3 + x/2  = 0

2-3x/4 = 2

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are:-

5-x/3 for x = -3

5 - (-3 / 3 ) = 6

-2 + 2x/3 for x = 6

-2 + (2 x 6 )/3 = 2

-3 + x/2 for x = 6

-3 + (6 / 2 ) = 0

2-3x/4 for x = 4

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

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Answer:

13 seconds

Step-by-step explanation:

Since distance is directly proportional to time,

distance = time * a constant

Lets make A the constant

So, 54 = 9A

A = 6

Now, since distance = 78,

78 = time * A

From above, we can see that A = 6, so

78 = time *6

time = 13

Answer:

13

Step-by-step explanation:

54/9=6, 6 is the rate at which the car travels. 78/6 is 13 so that is how far the car traveled

Answer:

[tex]=5x-9[/tex]

Step-by-step explanation:

[tex]-\left(-5x+9\right)[/tex]

[tex]Distribute\: parentheses[/tex]

[tex]=-\left(-5x\right)-\left(9\right)[/tex]

[tex]Apply\:minus-plus\:rules[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=5x-9[/tex]

Answer:

they must go 12 floors downwards because parking A has to be on the last floor

Answer:

they other person is somewhat correct

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

Answer:

rs 28500

Step-by-step explanation:

If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.

88% = 88/100 = .88

Let m equal her monthly income.

m - .88m = 3420

.12m = 3420

.12m/.12  = 3420/.12

m =  3420/.12

m = 28500

He monthly income is rs28500.

Answer:

Nancy gastó 8,58 dólares.

Step-by-step explanation:

Para calcular cuánto dinero gastó Nancy, debemos hallar la relación entre Nancy y María, tal como sigue:

[tex] M = 3N [/tex]    (1)

En donde M es por María y N por Nancy

En la relación de la equación (1) tenemos que el dinero que gastó María es 3 veces lo que gastó Nancy, tal como dice el enunciado.

Entonces, podemos hallar ahora cuánto gastó Nancy:

[tex] N = \frac{M}{3} = \frac{25,75}{3} = 8,58 [/tex]

Por lo tanto, Nancy gastó 8,58 dólares.  

Espero que te sea de utilidad!

Answer:

B

Step-by-step explanation:

It is saying the same thing as 18-7 just in the parenthesis (-7).

Answer:

B. 18+(-7)

Hope this helps!!!!!!

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the equation of a function/line is y=mx+b where

b is the y intercept

x is the slope

y=x/2+5 is the same as y=1/2x+5