Emma pays $108 every six weeks for tennis lessons. What is the price per year for tennis lessons?

Answer:

19

Step-by-step explanation:

it is 19

It will take Allen approximately 9 hours to travel 585 miles at a speed of 65 miles per hour.

To determine the time Allen will take to cover a distance of 585 miles while traveling at 65 miles per hour, the formula for time, which is distance divided by speed, is used. Using this formula: Time = Distance / Speed. In this case, Time = 585 miles / 65 miles per hour, which equals approximately 9 hours. This calculation is derived by dividing the total distance Allen needs to travel, which is 585 miles, by his speed of 65 miles per hour, giving us the time it will take for him to complete the journey.

This formula of time equals distance divided by speed is a fundamental concept in physics and helps calculate the time taken to cover a given distance at a certain speed. By dividing the distance of travel by the speed at which Allen is traveling, we get the time required for the journey.

Understanding the relationship between distance, speed, and time enables us to compute travel durations accurately. In this case, for Allen traveling at a constant speed of 65 miles per hour, dividing the total distance of 585 miles by his speed reveals that it will take him approximately 9 hours to reach his destination.

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Answer:

In functions, there can be more than one of the same output, but there cant be more than one of the same input.

Step-by-step explanation:

Let's look at table A.

Input Output

4 3

3 2

3 1

We have two 3's for our input.

Let's take a different approach to this if you don't understand.

Let's imagine we have a vending machine.

If you press the number 2 you get Doritos

If you press the number 4 you get Sprite

Though if you press the number 3 you could either get Cashews or Cheetos. If you paid for the Cheetos and you get Cashews, that wouldn't be good; Its like a guessing game.

So, therefore Table A is NOT correct, as two of our input's are the same number.

Now let's look at Table B

Input Output

1 3

3 5

5 7

All of our input's are different, which is good. Let's imagine the vending machine again.

Pressing number 1 gives us Doritos

Pressing number 3 gives us Barbecue Chips

Pressing number 5 gives us Kettle Chips.

We get what we pay for, which means, in this equation, if you input is number 1, we will have number 3 as our output, ect.

This table IS correct.

I think you can apply this procedure to the other two tables to determine which one is right :)

Hope this helps, reach out if you need any more help!

The equation of the line in point-slope form is y = -1/2x +3.

A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.

Given coordinates (8, -1)

and the equation of a line  is y = mx + c

given equation  = y = 2x - 9

comparing from the equation of line we get m = 2

but the line passes from (8, -1) is perpendicular to a given line,

so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,

so m = -1/2

and equation is (y - y₁) = m(x - x₁)

where y₁ = -1 and x₁ = 8

substitute the values

y - (-1) = -1/2(x - 8)

y + 1 = -1/2(x - 8)

y = -1/2x +4 -1

y = -1/2x +3

Hence the equation of a line is y = -1/2x +3.

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Answer:

The percentage increase is equal to [tex]41.67\%[/tex]

The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]

Step-by-step explanation:

we know that

[tex]12\ push-ups[/tex] ------> represent the [tex]100\%[/tex]

The increase of push-ups is equal to

[tex]17-12=5\ push-ups[/tex]

by proportion

[tex]\frac{12}{100}\frac{push-ups}{\%} =\frac{5}{x}\frac{push-ups}{\%}\\ \\x=\frac{5}{12}*100\\ \\x=41.67\%[/tex]

The percentage increase is equal to [tex]41.67\%[/tex]

The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]

The value of the given expression will be 17.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(6+[12÷(3+1)])-1

2{6+12/4}-1

= 2(6+3)-1

= 2*9-1

= 17

Hence, The value of the given expression will be 17.

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Answer is provided in the image attached.

The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.

To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:

12 feet / 5 feet per inch = 2.4 inches

And for the width:

18 feet / 5 feet per inch = 3.6 inches

Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.

Final answer:

Rita sprinted 77 feet in 10 seconds. Her speed is approximately 5.25 miles per hour.

Explanation:

To convert the distance covered by Rita from feet to miles, we need to divide the distance by the number of feet in a mile:

77 feet ÷ 5280 feet/mile = 0.0145833 miles

To convert the time from seconds to hours, we need to divide the time by the number of seconds in an hour:

10 seconds ÷ 3600 seconds/hour = 0.00277778 hours

To calculate the speed in miles per hour, we divide the distance by the time:

Speed = Distance ÷ Time = 0.0145833 miles ÷ 0.00277778 hours ≈ 5.25 miles per hour