1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aliun [14]
3 years ago
11

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B

crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.


B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.


C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.


D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

It's on Gradpoint
Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours

You might be interested in
Please answer and show a little work
Pavlova-9 [17]

1 kilometer = 1000 meters

3 kilometers would be 3000 meters

Divide total meters by number of parcels:

3000 / 10 = 300

The answer is 300 meters

5 0
3 years ago
Find the degree of the polynomial
ikadub [295]

Answer:

Step-by-step explanation:

1) 5a - 2b² + 1

Degree of the polynomial = 2

2) 4x²-3x³ + 2x + 12

-3x³ + 4x² + 2x + 12

Degree of the polynomial = 3

To find the degree of the polynomial, arrange it in descending as per the power of the variables.

The highest power of the variable is the degree of the polynomial.

3 0
3 years ago
Can someone please explain how to do this?
wolverine [178]

Answer: 15,000

Step-by-step explanation:

When you subtract 75,000-60,000, you will get 15,000 and 15,000 is the Variance.

Hope this helps! Thanks for asking.

7 0
4 years ago
How did he get from 3^-16/3/3^-8/3 to 0.00285333857/0.00285333857??? (The circled part) Because when I put it in the calculator
seropon [69]

Step-by-step explanation:

\frac{ {3}^{ -  \frac{16}{ 3} } }{ {3}^{  - \frac{ 8}{3} } }  =  \frac{0.002853338}{0.05341665075}

I think, he made a mistake because the exponents have different values but then if you'll look at his results, he just wrote the same thing. If you want, you could post the original problem, and I'll solve it for you :)

7 0
3 years ago
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the
beks73 [17]
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t}  }
where
m is the monthly payment
P is the amount
r is the interest rate in decimal form 
t is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
\frac{4}{100} =0.04
We also know from our question that P=224500 and t=30, so lets replace those values into our formula to find the monthly payment:
m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)}  }
m=1071.80

We can conclude that the monthly payment during the initial period is $1071.58<span />
7 0
3 years ago
Other questions:
  • Write an inequality to compare -21 and -13. which temperature is warmer?
    11·1 answer
  • What is the domain of the function f(x)=x−4÷√​6−x​​​ 
    11·2 answers
  • The difference of six times a number and seven results in 35.
    13·2 answers
  • Drag each equation to the correct location on the table.
    13·1 answer
  • Why is k=10 as the constant rate?
    9·1 answer
  • $422.00 per month in a investment plan. It pays 3% APR. HOW MUCH $$ will I have in 25 years.
    5·1 answer
  • rashid bought some baseball cards. after giving 7 cards to his friend grace, he arranged the remaining cards in 6 rows of 4. how
    8·1 answer
  • Find the exact area of a circle having the given circumference. 4(√3 π) A =
    11·1 answer
  • The total value of the coins is 3.88. Anita has 4 more nickels than pennies and 2 more than 4 times the number of quarters than
    12·1 answer
  • If the scale factor is 1:5 and OG = 45, find AR.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!