Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.

Answers

Answer 1
Answer: To answer the question above, multiply the speed of light with the time it takes to travel from earth to the moon. In this given, the product of the speed of light, 186,000 miles per second and 11/3 seconds is 682, 000 miles. Thus, based on the speed of light, the distance between the earth and moon is 682, 000 miles. 
Answer 2
Answer:

Answer:

The correct answer is:

186,000 x 1 1⁄3 = 248,000 miles

Step-by-step explanation:


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A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 30 represents the total cost y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then find four points on the line.

Answers

y=mx+b   M is the slope.Therefore, 40 is slope.

To find Y intercept, you substitute X for 0
So it becomes, y=40(0)+30
Solve it,  y=0+30
y=30
If Y=30 x=0
Y intercept is (0,30)
                       x   y
To find four points, you use the slope. 

Final answer:

The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).

Explanation:

In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.

The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.

The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.

For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.

Learn more about Slope and Y-Intercept here:

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What is the relationship between Za and Zb?

Answers

Answer:

they are supplementary to each other

Step-by-step explanation:

they are supplementary

A graph with a line running through coordinates (0,0) and coordinates (30,24)Item 3

Carl's new car gets 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?


a. x = 27y

b. y = 27x

c. y = 27 + x

d. x = 27 + y

Answers

Answer:

b. y = 27x

Step-by-step explanation:

When you talk about "per" it means multiplication, and 27 is being multiplied by (x) gallons of gas.

22.5% written as a fraction in simplest form

Answers

22.5% written as a fraction in simplest form is 9/40 . Hope i helped. 

If 4x-3/7 which of the following is the inverse of f(x)

Answers

The inverse of the function f(x) is x/4 + 3/28

How to determine the inverse function?

The function is given as:

f(x) = 4x - 3/7

Set f(x) = y

y = 4x - 3/7

Swap the positions of x and y

x = 4y - 3/7

Make y the subject

4y = x + 3/7

Divide by 4

y = x/4 + 3/28

Hence, the inverse of the function f(x) is x/4 + 3/28

Read more about inverse functions at:

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Aaron needs to take out a loan to purchase a motorcycle. At one bank, he would pay $2500 initially and $150 each month for the loan. At another bank, he would pay $3000 initially and $125 each month. After how many months will the loan payments be the same?

Answers

Answer:

20 months

Step-by-step explanation:

Let x represent the number of months.

We have been given that at one bank, Aaron would pay $2500 initially and $150 each month for the loan. So amount paid in x months would be 150x+2500.

We are also told that at another bank, Aaron would pay $3000 initially and $125 each month for the loan. So amount paid in x months would be 125x+3000.

To find the number of months when both loan payments will be the same, we will equate both expressions as:

150x+2500=125x+3000

150x-125x+2500=125x-125x+3000

25x+2500=3000

25x+2500-2500=3000-2500

25x=500

(25x)/(25)=(500)/(25)

x=20

Therefore, after 20 months both loan payments would be the same.

Hi
3000+125x=2500+150x
500=25x
x=500/25
x=20
Therefore the answer will be 20 months.
All the best!