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polet [3.4K]
3 years ago
9

At a rate of 36 miles per hour, it takes Henry 15 minutes to drive from the library to his house. Show how to find the distance

that Henry traveled. Include units in your calculation.
Mathematics
1 answer:
EastWind [94]3 years ago
4 0
This is applying the formula
distance=rate*time

We have a slight problem, though, because we are measuring rate in miles per hour, and we are measuring time in minutes. To make this problem solvable, we need to convert to either miles per minute or convert the time to hours. I'm going to convert the 15 minutes into hours:
15min*\frac{1 hour}{60 min}=\frac{1}{4}hour

Now that all of the units match, we have:
distance=36\frac{mi}{hr}*\frac{1}{4}hr

You can finish from there I'm sure.
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60 vehicles parked on the driveway 1/4 of them were trucks. How many trucks?
Sidana [21]

Answer:

15 trucks

Step-by-step explanation:

If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.

Hope this helps!

5 0
3 years ago
Read 2 more answers
You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car
zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year  = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = \frac{amount(1+r)^t - 1}{r (1+r)^t}

put here t = 10 and r = \frac{4.04}{200}

so

present value = \frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × (1+r)^{t}

amount = 3427.04 × (1+\frac{4.04}{200})^{10}

amount = 4185.74

so value of buyout is $4185.74

7 0
4 years ago
−2√24+2√2−2√8 Simplify Work Needed
vaieri [72.5K]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
What number decreased by 5% of itself equals 703?
max2010maxim [7]
14060 heres how I got my answer 703/0.05 you always do that when you want to fin out what percent of something a number is
8 0
2 years ago
Read 2 more answers
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