Yes I think so because she started at 2 1/4 then hiked to 4 3/8. That is roughly 2 miles and then from there she joked all the way back to 11/2? But I could be wrong?????
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
![s = \frac{n(n + 1)}{2}](https://tex.z-dn.net/?f=s%20%3D%20%20%5Cfrac%7Bn%28n%20%2B%201%29%7D%7B2%7D%20)
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:
Gallons of gasoline = 293 miles / 57 miles / gallon
Gallons of gasoline = 5.14 gallons
Therefore, about 5 gallons of gasoline was consumed by the hybrid car for a distance of 57 miles.
Answer:
(3/4) -(1/4)i
Step-by-step explanation:
Your answer is correct.
![\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%2B2i%7D%3D%5Cdfrac%7B5%283-i%29%7D%7B2%283%2Bi%29%283-i%29%7D%3D%5Cdfrac%7B5%283-i%29%7D%7B2%289%2B1%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3-i%7D%7B4%7D%3D%5Cdfrac%7B3%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Di)
Answer:
A
Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C