Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the total cost, c(h) of the recording session (in dollars) to the number of hours, (h) needed to record the tracks.

Answers

Answer 1

Answer:

1. $3302. 11.5 hours

Step-by-step explanation:

Continuation of the question:

1. Find c (5) and interpret your solution in the context of the problem 2. Find the value of h when c() = 525 and interpret your solution in the context of the problem

Solution

c(h) = 30h + 180

1 ...............................................

c(5) = 30*5 + 180 = $330

2 ...............................................

525 = 30h + 18030h = 525 - 18030h = 345h = 345/30 h = 11.5 hours


Related Questions

There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.

Answers

Answer:

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

[tex]x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}[/tex]

[tex]x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}[/tex]

[tex]x = 2.6\times 10^{18-14}[/tex]

[tex]x = 2.6\times 10^{4}[/tex]

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase. How often will a bag contain both a T-shirt and socks? Items in the Gift Bag T-shirt Every 4th bag Socks Every 3rd bag

Answers

Answer:

Every 12th bag

Step-by-step explanation:

Given that:

Gift bag contains :

T - shirt = every 4th bag

Socks = Every 3rd bag

To obtain how often gift bag contains both T-shirt and socks , obtain the Lowest common multiple of 4 and 3

Multiples of :

4 : 4, 8, 12, 16, 20, 24,....

3 : 3, 6, 9, 12, 15, 18, 21, 24,....

Hence, the lowest common multiple of both 4 and 3 is 12.

The bag will contain both T-shirt and socks after every 12th bag

What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method? to use algebraic methods to solve geometric problems to prove the universe was Sun-centered to represent equations for the queen of Sweden to prove his own existence

Answers

Answer:

A. to use algebraic methods to solve geometric problems

Step-by-step explanation:

Answer:

to use algebraic methods to solve geometric problems

Step-by-step explanation:

Which statement correctly compares the angles?

Angle G is congruent to angle P.
Angle G is smaller than angle P.
Angle G is larger than angle P.
Angle G is congruent to angle N.

Answers

Answer:

its B

Step-by-step explanation:

well...you can see it XD

Answer:

Yepp B is correct on Edge

Step-by-step explanation:

The area of triangle ABC is 34cm squared
calculate the area of triangle DEF

Answers

Not enough information to complete the problem. Please comment with the correct question so I can solve it.

Which pair of functions are inverse functions

Answers

Answer:

3rd one is inverse functions

Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?

Answers

Answer:

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

Step-by-step explanation:

Use the laws of log()

[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex]  you can move exponent outside of log()

[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]  

[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

The functions of logarithmic are given in the question

log₃ 4 = 1.262 and log₃ 7 = 1.771

We have to determine the value of log₃ (7/16)

⇒ log₃ (7/16) = log₃ 7 - log₃ 16

⇒ log₃ (7/16) = log₃ 7 - log₃ 4²

Using property of logarithm logₐ(xⁿ) = n logₐx.

⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4

Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,

⇒ log₃ (7/16) = 1.771 - 2(1.262)

⇒ log₃ (7/16) = 1.771 - 2.524

⇒ log₃ (7/16) = 0.753

Therefore, the required value of log₃ (7/16) is 0.753.

Learn more about the logarithmic properties here:

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Solve (x + 2 -6).
{x | -6 1}
{x | x < 0}

Answers

Answer:

x^2 + x = 0

Step-by-step explanation:

Simplifying

x2 + x = 0

Reorder the terms:

x + x2 = 0

Solving

x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + x) = 0

How many quarters are there in $2?
A. 2
B. 4
C. 6
D. 8

Answers

the answer is D there are 8 quarters in $2

9.75 x 10 minus to the 4th power?

Answers

Is the question 9.75x10^4 ???

the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.

Answers

I hope this helps ;)

y-8= 4(x-10

...............

Answers

Answer:

y=mx+b

y=4x-32

Answer:

y=23

Step-by-step explanation:

Solve the equation 4x - 6 = 34. Write a justification for each step.


47-6= 34


Given equation


+6 +6


4x


Simplify.


= 40


4x 40


44


[2]


X= 10


Simplify


[1] Addition Property of Equality,


[2] Reflexive Property of Equality


[1] Substitution Property of Equality,


[2] Division Property of Equality


[1] Division Property of Equality,


[2] Subtraction Property of Equality


[1] Addition Property of Equality:


[2] Division Property of Equality


8

Answers

Answer:

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:

[tex] 4x - 6 = 34 [/tex] => Given equation

Add 6 to both sides

[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]

[tex] 4x = 40 [/tex] => simplify

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]

[tex] x = 10 [/tex] => simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality

If 7^9/7^n = 7^3, then n is___.
12
01
-3
3

Answers

Answer: 6, but it isn't in your answer choices

Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6

(BRAINILEST IF YOU ANSWER!) The graph below shows the costs of blueberries at two different fruit stands. Which fruit stand, A or B, offers a better deal on blueberries? Explain your thinking!!

Answers

Answer:

B

Step-by-step explanation:

B cost less money bet has the same weight as A

Answer:

B.

Step-by-step explanation:

B. is less money to buy the blueberries. The highest point you can buy them at is pretty low compared to A.

what is 763 thousandths in scientific notation

Answers

Answer:

763,000 in scientific notation. the scientific notation of 763,000 is equal to 7.63 ×

Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?

Answers

Answer:

24

Step-by-step explanation:

Sally visited 16 stores when shopping for 2 hours.

Since Sally could look in 6 stores in 45 minutes. Hence:

Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.

Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes

Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores

Therefore Sally visited 16 stores in 2 hours.

Find out more at: https://brainly.com/question/24169758

his figure is made from part of a circle and part of a square.

Answers

Answer:

What?

Step-by-step explanation:

That was pretty deep

the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number

a) x=4

b) x=6

c) x=7

d) x=9

Answers

Answer:

b

Step-by-step explanation:

If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of 1 and 3 times a number is 22.

Let the unknown number be x

1+3x=22

Now subtract 1 from both the sides

1+3x-1=22-1

3x=21

Divide both sides by 3

x=7

So the solution of sentence sum of 1 and 3 times a number is 22 is 7.

x=7 is the equation of graph that represents the number

Hence x=7 is the equation of graph that represents the number

To learn more on Equation:

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A particular computer takes 11 minutes to download a 33​-minute TV show. How long will it take the computer to download a 2​-hour ​movie?

Answers

Answer:

42 minutes because i add 33min and 1/2 hours together and got 42

Step-by-step explanation:

42 minutes because i add 33min and 1/2 hours together and got 42

Answer:

40 minutes

Step-by-step explanation:

120 minutes = 2 hrs

120/33 = 3.636363636363....

and 3.6363636363.... x 11 minutes = 40 minutes

Expand: fx=x^4-blankx^3+blank x^2 + blank x- blank

Answers

can un retype so i can help?

What is the value of 8 + 4(-3)?

Answers

Answer:

-4

Step-by-step explanation:

8+4(-3)

first solve 4(-3)

4(-3)

4*-3=-12

8+(-12)

8-12

-4

%50 POINTZ Which set of statements explains how to plot a point at the location (Negative 2.5, 3.75)?
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units down because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units up because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units left because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units right because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.

Answers

Answer:

Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.

Step-by-step explanation:

Look at the picture.

(x ; y)

x < 0 - move x units left

x > 0 - move x units right

y < 0 - move y units down

y > 0 - move y units up

Answer:

answer is A

Step-by-step explanation:

your welcome :)

To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?

Answers

Answer:

24 quarts of green paint

which number is irrational?

Answers

Answer: pie, the last one

Need some help with this question

Answers

Answer:

iba nalang

Step-by-step explanation:

just tell someting wag yan

1. -

2. ×

3.÷

i guess these r the answers

Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wednesday, he ate four more hamburgers than the number that he ate on Monday. On Thursday, he ate nothing at McDonald's. On Friday, Mr. Au ate three times as many hamburgers as he ate on Wednesday. Mr. Au ate a total of 26 hamburgers that week. How many hamburgers did he eat each day?

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of hamburger he ate on Monday be represented by x.

Monday = x

Tuesday = 0

Wednesday = x + 4

Thursday = 0

Friday = 3(x + 4)

Total hamburgers ate = 26

To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:

= x + 0 + x + 4 + 0 + 3(x+4) = 26

2x + 4 + 3x + 12 = 26

5x + 16 = 26

5x = 26 - 16

5x = 10

x = 10/5

x = 2

Monday = x = 2 hamburgers

Tuesday = 0

Wednesday = x + 4 = 2 + 4 = 6 hamburgers

Thursday = 0

Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers

The graph shows the average speed of Car 1 which is traveling on a highway. The equation y= 55x represents the average speed of Car​ 2, where y is the distance in miles and x is the time in hours. Which car is traveling at the greater​ speed?

Answers

Answer:

Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.

Please help me with this question.... please...

Answers

Answer:

just plug in the x value into the equation and put it in ur calculator

250 and 400 because you need to substitute the 5 and the 20 into x.
y=(200 • .05)(5)+200, y= 250
y=(200 • .05)(20)+200, y=400

What is the value of the question mark in the picture below .

Answers

Answer:

84 degrees

Step-by-step explanation:

Vertical angles, then corresponding

84 because it’s vertical
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