MATHEMATICS HIGH SCHOOL

A car traveled a distance of 126 miles in 3 hours. Traveling at the same speed, what distance would this car travel in 7 hours?

Answers

Answer 1

Answer:

Unitrate is the quantity of an amount of something at a rate of one or another quantity.

Speed is the rate at which the car is traveling x miles per hour

Speed = Distance / Time

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car traveled a distance of 126 miles in 3 hours.

This can be written as,

126 miles = 3 hours

Multiply both sides by 3.

42 miles = 1 hour

Multiply 7 on both sides.

7 x 42 miles = 7 x 1 hour

294 miles = 7 hours.

This means that,

In 7 hours 294 miles are traveled.

Thus,

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

Learn more about unitrates here:

brainly.com/question/11258929

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Answer 2

Answer: The answer is 294 miles.

If you break down to it's unit rate (126 / 3) you get 42, which is the speed per hour. Now multiply by 7 hours and you get 294 :^]

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O 36

Answers

Answer:

Step-by-step explanation:

a cube has 6 sides

6 squares on each side

36 divided by 6 = 6

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hope this helps!

Write 1.4888.. in form of p/q

Answers

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

I need help no ilnks please and thank you also please explain how you got the answer

Answers

You want to leave a 15% tip on a meal that cost $65.00.

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $65.00 meal cost is.This is always done by multiplying 0.15 by $65.00, or

0.15 x $65.00=$9.75.

So, the amount of tip you are going to leave is $9.75.

This makes the total cost of your meal (to write on your charge slip or other payment)

$65.00 + $9.75 = $74.75.

A: y=50x+75
EXP: The x value 0 is at 75, making that the y-intercept. Rise/run for rise 1 -> 2 is up 50, making slope 50(x). Put it together giving you y=50x+75

A theater has 675 seats. there are three times as many seats in a row as their are rows

Answers

Answer:

Step-by-step explanation:

let the number of rows=x

seats in each row=3x

so number of seats=x(3x)=3x²

3x²=675

x²=225

x=15

number of rows=15

and seats in each row=15×3=45

Answer: 15 rows with 45 seats each

Step-by-step explanation:

Let x = the number of rows, then 3x= the number of seats in a row.

seats × row= total

3x × x=675

3x²=675

x²=225

x=15

Fernando is starting a new sales job, and needs to decide which of two salary plans to choose from. For plan A, he will earn $100/week plus 15% commission on all sales. For plan B, he will earn $150/week plus 10% commission on all sales.a. Write an expression for each salary plan if s is Fernando's total weekly sales
b. For what amount of weekly sales us plan B better than plan A?

Answers

Answer:

Expression for plan A:

Total weekly earnings = $100+(15)/(100) s$

Expression for plan B:

Total weekly earnings = $150+(10)/(100) s$

As long as $s$ is less than 1000 plan B is profitable.

Step-by-step explanation:

Expression for plan A:

Total weekly earnings = $100+(15)/(100) s$

Expression for plan B:

Total weekly earnings = $150+(10)/(100) s$

For plan B to be better the amount earned by plan B for a specific number of sales should be greater than amount earned by plan A.

Therefore, we can write the following inequality:

$150+(10)/(100) s\geq100+(15)/(100) s$

Now we can simplify the above inequality to find at which value of $s$ it will be profitable to used plan B.

$50\geq(15)/(100) s-(10)/(100) s$

$50\geq(5)/(100) s$

$10\geq(1)/(100) s$

$1000\geq s$

So as long as $s$ is less than 1000 plan B is profitable.

Expression A: S= 100+ 100(0.15y) y=Commission

Expression B: S= 150+ 150(0.10y)

Now to get Part B done. Plug in numbers for Y and use the results as the sales continue to increases. For example, start with 5 sales, then go to 10 then 15, and so on and so fourth. Hope I was able help you understand the question a little bit more! :)

the sun's average surface temperature is 5780 k, while earth's average surface temperature is 288 k. how many times warmer, on average, is the sun's surface than earth's surface? use the equation below and round your answer to the nearest whole number.

Answers

Step-by-step explanation:

5780 / 288 = ~ 20 times warmer

In other words, 20 times the earth surface temp is the sun surface temp.

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