Javier drove 45 miles, this represents 60% of his entire trip. What is the total number of miles in his trip

Answers

Answer 1

Answer: Ratio and proportion

45mi/60%=x miles/100%
cross multiply
60x=4500
x=75 miles

hope this helps

Answer 2

Answer: 60% is the same thing as 6/10, or 3/5. So 45 miles is 3/5 of his trip. 45=3/5x, where x is the number of miles in his trip. Divide both sides by 3/5 and you should get 75 miles.

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What is the exact value of the trigonometric ratio of tan-240 degrees?

Answers

Tan240=1.732050808
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You would like to have $1,000 5 years from now and believe you can earn 6% on your money. How much would you have to deposit today to reach your $1,000 goal? A) $747.26 B) $747.26 C) $747.26 D) $747.26

Answers

All options are the same, any of them would work. $747.26

Simplifying rational expressions1. (c+8)(c-8)/(c-8)(c+3)
2. n^2+4n-12/n^2+2n-8
3. 42x^2y^3/28x^3y
4. m^2-3m-10/m-5

Answers

1. $((c + 8)(c - 8))/((c - 8)(c + 3))_,_$
   $(c + 8)/(c + 3)_,_$

2. $(n^(2) + 4n - 12)/(n^(2) + 2n - 8)_,_$
   $(n^(2) + 6n - 2n - 12)/(n^(2) + 4n - 2n - 8)_,_$
   $(n(n) + n(6) - 2(n) - 2(6))/(n(n) + n(4) - 2(n) - 2(4))_,_$
   $(n(n + 6) - 2(n + 6))/(n(n + 4) - 2(n + 4))_,_$
   $((n - 2)(n + 6))/((n - 2)(n + 4))_,_$
   $(n + 6)/(n + 4)_,_$

3. $(42x^(2)y^(3))/(28x^(3)y)_,_$
   $(3y^(2))/(2x)_,_$

4. $(m^(2) - 3m - 10)/(m - 5)_,_$
   $(m^(2) - 5m + 2m - 10)/(m - 5)_,_$
   $(m(m) - m(5) + 2(m) - 2(5))/(m - 5)_,_$
   $(m(m - 5) + 2(m - 5))/(m - 5)_,_$
   $((m + 2)(m - 5))/(m - 5)_,_$
   $m + 2_,_$

Is -31/8 less than, greater than, or equal to -3.92

Answers

-31/8 equalss -3.88 so -3.88 > -3.92

Final answer:

-31/8 converts to -3.875 in decimal form. In the case of negative numbers, 'less than' refers to numbers further from zero. Therefore, -3.92 is 'less than' -31/8.

Explanation:

To answer this question, we first need to convert -31/8 into decimal form. Doing this, we get -3.875.

Now we can compare -3.875 and -3.92. When it comes to negative numbers, a number is 'less' if it is further from zero. In this case, -3.92 is further from zero than -3.875.

So, -31/8 is greater than -3.92. In other words, -3.92 is 'less than' -31/8.

Learn more about Number Comparison here:

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Robert runs 25 miles. His average speed is 7.4 miles per hour. He takes a break after 13.9 miles. How many more hours does he run? Show your work

Answers

Answer: Robert runs for approximately 1.50 more hours after taking a break.

Step-by-step explanation:

To find out how many more hours Robert runs after taking a break, we need to determine the time it takes for him to run the remaining distance.

We know that Robert runs a total of 25 miles and his average speed is 7.4 miles per hour. To find the time it takes for him to run the entire 25 miles, we can use the formula:

Time = Distance / Speed

Time = 25 miles / 7.4 miles per hour

Time ≈ 3.38 hours

Since Robert takes a break after running 13.9 miles, we need to subtract the time it took him to run that distance from the total time.

To find the time it took him to run 13.9 miles, we can use the formula:

Time = Distance / Speed

Time = 13.9 miles / 7.4 miles per hour

Time ≈ 1.88 hours

Now, we can subtract the time for the break from the total time to find how many more hours Robert runs:

Remaining time = Total time - Time for the break

Remaining time ≈ 3.38 hours - 1.88 hours

Remaining time ≈ 1.50 hours

Therefore, Robert runs for approximately 1.50 more hours after taking a break.

Answer:

1.5 hours more

Step-by-step explanation:

In order to find out how many more hours Robert runs, we need to find the total time it takes him to run 25 miles. We can do this by dividing the total distance by his average speed.

$\sf \textsf{Total time }= \frac{\textsf{Total distance }}{\textsf{ Average speed}}$

$\sf \textsf{Total time }=\frac{ 25 miles }{7.4\textsf{ miles per hour}}$

$\sf \textsf{ Total time = 3.378378378378378 hours}$

We already know that Robert takes a break after 13.9 miles. This means that he runs for:

$\sf \textsf{25 miles - 13.9 miles = 11.1 miles after his break}$

And to find out how many hours Robert runs after his break, we need to divide the distance he runs after his break by his average speed.

$\sf \textsf{Time after break } =\frac{\textsf{ Distance after break }}{\textsf{Average speed}}$

$\sf \textsf{Time after break CD call }=\frac{ 11.1 miles }{\textsf{ 7.4 miles per hour}}$

$\sf \textsf{Time after break = 1.5 hours}$

Therefore, Robert runs for 1.5 hours more after his break.

Choose the best description of the cross-section shown in each image. (True/False)

Answers

Step-by-step explanation:

Please recheck and possibly resend your question as there is no cross section of any image attached.

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Welcome to another new game show, “Spinning for Luck!” As a contestant, you will be spinning two wheels. Each wheel is divided into equal sectors. The first wheel determines a possible dollar amount that you could win. The second wheel is the “multiplier”. You will multiply the results of your spins to determine the amount you will win. Unfortunately, you could owe money if your multiplier lands on –2!a. What is the probability of winning $100 or more?b. What is the probability of owing $100 or more?