A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost C of recording an album as a function of studio time(in hours). Use the variable t to represent the number of hours the recording studio is used

Answers

Answer 1

Answer:

C=$50+$75×T

Step-by-step explanation:

$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.


Related Questions

What is the constant of proportionality for the relationship shown in this table?

x 1 2 3 4
y 4 8 12 16

14

4

8

16

Answers

Answer:

4

explanation:

I took the test

The constant of proportionality  is 4.

What is constant of proportionality?

The constant value of the ratio between two proportional quantities is the constant of proportionality. When either their ratio or their product gives a constant, two varying quantities are said to be in a relation of proportionality. The type of proportion between the two given quantities determines the value of the proportionality constant: Variation in both a direct and inverse manner.

given relation

x 1  2  3  4

y 4 8 12 16

the equation is

y = 4x

1 * 4 = 4

2 * 4 = 8

3 * 4 = 12

and so on...

Hence the constant is 4.

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5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7

Answers

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

PLEASE HELP ME ASAPP !! I HAVE 10 MINUTES LEFT !! When Erin first planted the cherry tree in her yard, it was 40 feet tall. Now it is 35% taller. How tall is the tree now?

Answers

Answer: 54 feet tall

Step-by-step explanation:

Answer:

it would be 54 feet tall now

Step-by-step explanation

35% of 40 is 14

40+14=54

54 feet

What is the answer for my khan academy homework

Answers

Answer:

12

Step-by-step explanation:

16 divided by 4 is 4

8 + 4 : 12

Answer:12

Step-by-step explanation: plug the 16 into were the a is in the question

Please can someone help me

Answers

Answer:

C those who vote for the ballot tend to be from district 2

PLEASE HELP ME ASAP!!

Answers

Answer:

8. 5/6

9. 6.25, 6 and 1/4

10. 14.4

Step-by-step explanation:

Sorry that this is a little late. All of these problems end up with the same process to get to the answer. Since you want to find the rate, you would want to divide the amount of time taken by itself to find the unit rate. So basically, 8. would be 20 cm in 24 hours. You would divide both by 24 and you get 20/24 cm in 1 hour. and then you simplify the fraction and boom, there's your answer.

If a quadratic equation has no real solutions, is it still a function? I don't seem to know why

Answers

Answer:

That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.

29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work

Answers

Answer:

62

Step-by-step explanation:

divide 29 by 42 and multiply the answer by 100

Answer: 69.05%

Step-by-step explanation:

21=50%

10.5=25%

Which fraction is equivalent to 0.6?

Three-tenths
One-third
Three-fifths
Two-thirds

Answers

3/5 is equivalent to 0.6

Answer:

C. three- fifths

Step-by-step explanation:

Because if you multply 3/5 by 2 you get 6/10 Which is .6

I hope this helps!!!!

if g(x) = 8x -20, find g(-4)

Answers

Answer:

g(-4)= -52

Step-by-step explanation:

g(x) = 8x -20

Substitute -4 for x

g(-4) = 8(-4) -20

g(-4) = -52

I need the answer for this, i have posted this multiple times

Answers

Answer:

1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option

Step-by-step explanation:

hope this is right!

Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)

Combine like terms.

Final Answer:

Answers

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

If someone could answer this, that'd be great!
(359x+1000)-(175x+.50m+62.36)

Answers

you can’t get an exact answer but you can simplify it. I got:
184x + 937.64 - 0.5m

What is the value of -24 + 6?

Answers

Answer:

-18

Step-by-step explanation:

Addition. Hope this helped

Answer:

-18

Step-by-step explanation:

try that, if it's the wrong answer then lmk!

amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?

HELP

Answers

Answer:

7%

Step-by-step explanation:

[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]

[tex]2.45*100[/tex] and [tex]35x[/tex]

[tex]\frac{245}{35} = \frac{35x}{35}[/tex]

[tex]245/35=7[/tex]

Mrs. Hidalgo paid $30 for 4 students to visit an art museum. Find the cost for 20 students.

Answers

Answer:

The cost for 20 students would be $120

Step-by-step explanation:

We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.

Our final answer would be $120

CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please

Answers

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

please help i really don't understand ​

Answers

Answer:

3.75

Step-by-step explanation:

That is the decimal

Answer:

it's D

Step-by-step explanation:

if you were to divide the numerator by the denominator you would get 0.26 and the 6 is repeating

find the domain of the graphed function​

Answers

Answer:2 < x < 5

Step-by-step explanation:

I should look like this but with lines under the less than symbol

The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.

If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.

The domain of a function represents the set of all possible input values (x-values) for which the function is defined.

Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.

Thus, the domain of the graphed function is x ∈ (2,5).

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Please help 10 pts!!

Answers

Answer: Any positive number less than 16

The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.

For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8

Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.

Answers

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get through 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?

Answers

Answer:

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=23[/tex]

Total number of shirts finished by Laura [tex]=23[/tex]

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina [tex]=2t+15[/tex]

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura [tex]=3t+11[/tex]

Therefore,

[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]

So,

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]

Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]

A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180

2. w = m + 10, , w + m = 180,
3w + m = 10

3. w + m = 180
3w + m = 10, , w + m = 180,

4. w = 3m + 10
w + m = 180

Answers

Answer:

Step-by-step explanation:

Option 4 is the correct answer

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference

Answers

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

Thomas will take a total time of 18 hours to complete the entire project.

What is Percentage?

Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.

Thomas has finished 50% of an art project that has taken him a total of 9 hours.

Let W be the work Thomas has to finish.

Quantity of work Thomas finished in 9 hours = 50% of W

                                                                           = (50/100) × W

                                                                           = 0.5W

Remaining work to complete = W - 0.5 W = 0.5W

Again he has to complete 0.5W of total work W which will take an additional 9 hours.

So the total time taken = 9 + 9 = 18 hours.

Hence the total time needed for Thomas to complete the work is 18 hours.

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Y’all I need it by today please


Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).

Answers

Answer:

y=(x-1.5)^2+2.75

Step-by-step explanation:

Hope I could help!

what does 58x9234=????

Answers

Answer:

535572

Step-by-step explanation:

Np just for a friend

What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1

For the picture I think you can zoom in to see it more clearly.

Answers

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

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