Sarah needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $150 and the total cost charged for 2 hours is $300. Write an equation for P,P, in terms of t,t, representing the amount of money Sarah would have to pay to use the studio for tt hours.

Answers

Answer 1

Answer:

[tex]P=150+150t[/tex]

Step-by-step explanation:

Let P denotes the total cost and t denotes the time.

Total cost for 2 hours = $300

So,

Cost for 1 hour = [tex]\frac{300}{2} =\$150[/tex]

Also,

Fixed fee to use the studio = $150

The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio.

Therefore,

Total cost = Fixed fee to use the studio + Hourly fee for each hour in the studio

[tex]P=150+150t[/tex]


Related Questions

Item 7
Use the Distributive Property to simplify the expression.

9(3+c+4) =
ty

Answers

it would be bc of distribution 9c+63
9*3=27
9*C=9C
9*4=36
27+9C+ 36=
62+9C

What is the domian of y=4[x+2]

Answers

Answer:

I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)

( − ∞ , ∞ )  ,  { x | x ∈ R }

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answers

Complete question :

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answer:

1.4 miles

Step-by-step explanation:

Given that :

Ned's home and park are on the same straight road :

Store where Ned stopped is 4/7 of the way to the park

Bikes the remaining 0.6 miles to the park

Hence after traveling 4/7 of the distance, distance to park is 0.6 miles

Hence, 1 - 4/7 = 3/7

Hence, 3/7 of the way = 0.6 miles

If 3/7 = 0.6 miles

Then, 1 = x

Cross multiply

3/7 x = 0.6

3x = 4.2

x = 4.2 / 3

x = 1.4 miles

The distance from Ned's home to park is 1.4 miles

The distance between Ned's home and the park is 1.4 miles.

Ned is riding his bike from his house to the park, both of which are on the same straight road.

At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.

The fraction of the distance yet to be covered is,

[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]

Now, the remaining distance is given that is 0.6 mile.

Therefore,

[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]

Thus, the distance between Ned's home and the park is 1.4 miles.

To know more about it, please refer to the link:

https://brainly.com/question/24379068

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

The answer is 5 cups...

Find the slope please

Answers

Answer:

m= 1 / -3

Step-by-step explanation:

You have to use the formula

m =  

y2 - y1

x2 - x1

plug-in all you numbers

m=

 4 - 3

- 1 - 2

Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in2012, how many boys were enrolled that year?

Answers

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

Jessica reads aloud from science website. She comes across the mesurement 0.32 meter. How shouls she read this mesurement aloud? Explain how you know

Answers

Answer:

zero point three two meter

Step-by-step explanation:

Given

[tex]Measurement = 0.32\ meter[/tex]

Required

How should it be pronounced

From the measurement above, we can see that it contains a decimal point.

Using the rules of decimal point,

The number before the decimal point will be treated as 1 number and will be pronounced as such.

While numbers after the decimal will be treated as individual digits and will be pronounced individually.

Hence, the pronunciation of 0.32 meter is zero point three two meter

Answer: zero and thirty two hundredths. Some strategies are ( expanded form , a place value chart , word form , fraction expanded form i hope this helped i did this today in my class!

Help me please I need help with this

Answers

Answer:

A

You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.

Eugene has five payments left to make on his computer. If each payment is $157.90, how much does he still owe?

Answers

$157.90 x 5 = $789.50

He still owes $789.50

what is the least common denominator of2/3and 5/8​

Answers

Answer:

16

Step-by-step explanation:

3 and 8 can both go into 16

Can u answer this. This ain’t 20 characters long, why.

Answers

Answer:

Step-by-step explanation:

slope is 3/4.

I'm pretty sure, cuz it's rise/run

What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}​

Answers

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Five angles of a hexagon are each 115°. Calculate the size of the sixth angle.

Answers

A hexagon adds up to 720,
So we would do
115 x 5 = 575
So you would do
720 - 575 which is 145.
So the sixth angle is 145 degrees.

Help!! Its a photo but I need help on it quick!!! Ty if you help me!

Answers

Answer:

36

Step-by-step explanation:

the answer should be 36

How are these triangles congruent

Answers

Answer:

C

Step-by-step explanation:

Because they are all

Answer:

1

Step-by-step explanation:

And close your tabs we don’t want to see your stuff your watching

1
Find the slope of the following graph and write your result in the empty box.
Answer:

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]

triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality

Answers

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

a+b > c   ⇒   3n+3 > 3n-2 . . . always trueb+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw

pleaseee help meee!!!!!!! :)

Answers

Answer:

the answer to your question is (1,-2)

Answer: y=2x-1

This is the answer

Step-by-step explanation:

I fix the answer

Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?
A. 26x - 51.07
B. 26x + 92.93
C. 35.2x - 51.07
D. 35.2x + 92.93

Answers

The answer is a I did the math trust me

Please help! I think they domain is [-5,-1) u [1,5) but I’m not sure about the range.

Answers

Domain is [-5, -1) u [1,5)
Range is (0,4)

Solve equations with variables on both sides 6 - x = 5x + 30

Answers

6-x=5x+30
+x. +x
6=6x+30
-30. -30
-24=6x
X=-4
The answer is -4

The solution to the equation 6 - x = 5x + 30 is x = -4.

We have,

To solve the equation 6 - x = 5x + 30, we can start by bringing all the variables to one side and the constants to the other side of the equation. Here's the step-by-step solution:

Start with the equation: 6 - x = 5x + 30.

To eliminate the variable terms on the right side, subtract 5x from both sides of the equation:

(6 - x) - 5x = 5x + 30 - 5x.

Simplifying the left side gives: 6 - x - 5x = 30.

Combining like terms on the left side yields: 6 - 6x = 30.

Now, isolate the term with the variable.

Move the constant term (6) to the right side by subtracting it from both sides of the equation:

6 - 6x - 6 = 30 - 6.

Simplifying both sides gives: -6x = 24.

To solve for x, divide both sides of the equation by -6:

(-6x) / -6 = 24 / -6.

Simplifying gives: x = -4.

Therefore,

The solution to the equation 6 - x = 5x + 30 is x = -4.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Instructions: Find the missing angle in the image below. Do not include spaces in your answers. If you are using a screen-reader, please consult your instructor for assistance. m∠DCF= ∘

Answers

its the angle of a s ss

What is the discriminant of the quadratic equation
7x^2-4x+5=0​

Answers

Answer:

[tex]\Delta=-124[/tex]

Step-by-step explanation:

The discriminant for a quadratic in standard form is given by the formula:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]7x^2-4x+5=0[/tex]

Hence, a=7; b=-4; and c=5.

Therefore, our discriminant will be:

[tex]\Delta=(-4)^2-4(7)(5)[/tex]

Evaluate. Hence, our discriminant is:

[tex]\Delta=16-140=-124[/tex]

Notes:

Since our discriminant is negative, this tells us that the quadratic has no real roots.

Answer:

-124

Step-by-step explanation:

The discriminant is given by

b^2 -4ac  where ax^2 + bx+c =0

7x^2-4x+5=0​  so a = 7 b = -4 and c = 5

( -4) ^2 - 4(7) ( 5)

16 - 140

-124

(-3, 3.6)
(5, 2)
what is the rate of change of y with respect to x for this function​

Answers

Answer:I got -0.2

Step-by-step explanation:

The rate of change of y with respect to x for this function​ should be considered to be the -0.2.

Calculation of the rate of change:

Since

x = -3

y = 3.6

[tex]x_1[/tex] = 5

[tex]y_1[/tex] = 2

So here the rate of change be

[tex]= (y_1 - y) \div (x_1 - x)\\\\[/tex]

= (2-3.6) ÷ (5 + 3)

= -1.6 ÷ 8

= -0.2

Hence, The rate of change of y with respect to x for this function​ should be considered to be the -0.2.

Learn more about rate here: https://brainly.com/question/9882283

Find the quotient: (16x + 24x2) = 2x

Answers

Answer:

48x=2x

Step-by-step explanation:

im big brain can i get brainilest

An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?

A. 11/3

B. 1/11 of 3

C. 3 divided by 11

D. 3÷11

Answers

Answer:

a

Step-by-step explanation:

11/3  (eleven divided by three)

Answer:a is the answer

find the value of x. A.12 B.30 C.9 D. 21.75

Answers

Answer:

i need help my self keep trying

Step-by-step explanation:

Find all the numbers such that one-third of the number is at most five.

Answers

x=30
10=10
checking:
1/3(30)=1/2(30)-5

h+9.5= -9.5

find h. help pls, thank you

Answers

H=-19

That’s the answer
The Answer is -19
Reason: -19+9.5=9.5

write 0.63 repeating as a fraction in simplest form​

Answers

Answer:

2

Step-by-step explanation:

8=

Answer:

63/100 (the simplest form)

Step-by-step explanation:

1. Covert decimal into fraction:

0.63 = 63/100

2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):

63/100

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