A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer 1
Answer:

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

Answer 2
Answer:

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

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Based on the graph of the function shown, identify the Range of the function.A. All real numbers between -6 and +2B. All real numbers C. All real numbers between -6 and -1 & -1 and 2D. All real numbers between -8 and 4

EquationsWhat is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7

(-2,-3)
(-2,3)
(2, -3)
(2, 3)​

Answers

The solution of the system of linear equations given is (2,-3), the correct option is C.

What is System of Linear Equation?

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

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Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

Enter your answer in the box

____

Answers

Answer:

  \boxed{2144}

Step-by-step explanation:

The sum can be found by adding the parts:

  \sum\limits_(n=1)^(32){(4n+1)}=4\sum\limits_(n=1)^(32){n}+\sum\limits_(n=1)^(32){1}=4\cdot(32\cdot 33)/(2)+32\n\n= 2112+32=\boxed{2144}

__

The sum of numbers 1 to n is n(n+1)/2.

Explain why Six less than three times a number is 21. Find the number.

Answers

Answer: 9

Step-by-step explanation: The reason that students get intimidated

by word problems is they try to look at all the information at once.

The best way to approach a word problem

is to break it down sentence by sentence.

In this problem, let's look at the first part of the sentence.

We know that six less than three times a number is 21.

Let's call the number x.

So we know that six less than three times a number means 3x - 6.

A common mistake would be for students to put 6 -  3x.

However, the word "less than" switches the order around.

So we know that six less than three times a number is 21.

So we can write this as 3x - 6 = 21.

Now we have an equation and we can solve for x.

First add 6 to both sides to get 3x = 27.

Now divide both sides by 3 to get x = 9.

So our answer to this word problem is 9.

Point G(−7, 4) is translated using the rule (x+10, y−6). What is the x-coordinate of G′ ?

Answers

Answer:

x = 3

Step-by-step explanation:

The translation rule (x + 10, y - 6) means add 10 to the original x- coordinate and subtract 6 from the original y- coordinate, that is

G(- 7, 4) → G'(- 7 + 10, 4 - 6) → G'(3, - 2)

One question in the survey asked how much time per year the children spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.Required:

a. Based on the reported sample mean and sample standard deviation, explain why it is not reasonable to think that the distribution of volunteer times for the population of South Korean middle school students is approximately normal.
b. The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 500. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximately normal.
c. Calculate and interpret a confidence interval for the mean number of hours spent in volunteer activities per year for South Korean middle school children.

Answers

Answer:

a. If the distribution was normal, many values would be negative, what is incompatible with the response variable (hours dedicated to volunteer activities).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

c. The 95% confidence interval for the mean is (13.307, 16.213).

Step-by-step explanation:

a. If the distribution was normal, the values with one or more standard deviation below the mean would be negative, what is incoherent for this case. This, in a normal distribution, represents approximately 16% of the values.

If we calculate the probabilty for a normal distribution with the sample parameters, the probability of having "negative hours" is 18.6% (see picture attached).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

The sampling distribution standard deviation is also reduced by a factor of 1/√n.

c. We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=14.76.

The sample size is N=500.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=(s)/(√(N))=(16.54)/(√(500))=(16.54)/(22.3607)=0.7397

The t-value for a 95% confidence interval is t=1.965.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.965 \cdot 0.7397=1.453

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 14.76-1.453=13.307\n\nUL=M+t \cdot s_M = 14.76+1.453=16.213

The 95% confidence interval for the mean is (13.307, 16.213).

6 X 9 =
6 X (5 + 4)
6 X 9 = (6 X 5) + (6 X 4)
6 X 9 =
6 X 9 =
54

Answers

You gave us the answer it will be 54.

Answer:

54

Step-by-step explanation:

9(6)=54

6(9)=54

54=(30)+(24)  54=54 so it is true

9x6=54