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inn [45]
3 years ago
11

Mandy competed in a race that included running and biking.Mandy ran 1 3/4 and bicycled 3.6 miles. Mandy total time was 0.7 hour

what was Mandy approximate average speed on miles per hour. A. 3.75 miles per hour. B. 6.87 miles per hour. C. 7.06 miles per hour. D. 7.64 miles per hour
Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

1 3/4 = 7/4 = 1.75 miles (ran);

1.75 + 3.60 = 5.35 miles ( ran and bicycled);

average speed = 5.35 / 0.7 = 7.64 miles per hour;

The correct answer is D.

Step-by-step explanation:


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NikAS [45]

Answer:

I believe the answer would be 21.

Step-by-step explanation:

the shadow of the tall flag is three times the small flag, so the height of the flag should also be three times the height.  which is 21

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2 years ago
Pls help and have a great day <333!!!!
nirvana33 [79]

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

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the answer is 3/12 and 10/12

8 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
What is the factored form of 36x4 – 25?
dalvyx [7]
(6x2 + 5) • (5 - 6x2)
5 0
3 years ago
Write a complete two column proof for the following information.
andrey2020 [161]
We are asked to show a proof that m∠1 is equal to 62° and the line l is parallel to line m which has an angle of 180°. If two lines are parallel the summation of angles are 180 degrees and they are also considered as a supplementary angle. Hence, by this we have formed the equation and solution below:
m∠l + m∠m = 180° 
replacing the value of two angles, we have:
62° + 118° = 180°
180° = 180°

Therefore, the two lines are parallel.
4 0
3 years ago
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