Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
![\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%7D%3D%5Cdfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BTime%7D%7D)
My speed
![\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5Cdfrac%7B1%7D%7B6%7D%7D%7B%5Cdfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B%5Cdfrac%7B13%7D%7B6%7D%7D%7B%5Cdfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B26%7D%7B3%7D%5C%20%5Ctext%7Bmph%7D)
Speed of my friend
![7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}](https://tex.z-dn.net/?f=7%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B22%7D%7B3%7D%5C%20%5Ctext%7Bmph%7D)
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let
be the time taken to meet
![\text{Distance}=\text{Speed}\times\text{Time}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Ctext%7BSpeed%7D%5Ctimes%5Ctext%7BTime%7D)
![\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}](https://tex.z-dn.net/?f=%5Cdfrac%7B26%7D%7B3%7Dt%2B%5Cdfrac%7B22%7D%7B3%7Dt%3D24%5C%5C%5CRightarrow%20%5Cdfrac%7B48%7D%7B3%7Dt%3D24%5C%5C%5CRightarrow%2016t%3D24%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B24%7D%7B16%7D%5C%5C%5CRightarrow%20t%3D1.5%5C%20%5Ctext%7Bhours%7D)
So, we meet each other after 1.5 hours.
Distance traveled by me
![\dfrac{26}{3}\times 1.5=13\ \text{miles}](https://tex.z-dn.net/?f=%5Cdfrac%7B26%7D%7B3%7D%5Ctimes%201.5%3D13%5C%20%5Ctext%7Bmiles%7D)
Distance traveled by my friend
![\dfrac{22}{3}\times 1.5=11\ \text{miles}](https://tex.z-dn.net/?f=%5Cdfrac%7B22%7D%7B3%7D%5Ctimes%201.5%3D11%5C%20%5Ctext%7Bmiles%7D)
So, I traveled farther by
.
Answer: Since her art and music sections each only had half the number of sheets of paper as a core subject, together the two sections had the same amount of paper as a core subject. Therefore, it is almost like her notebook had five core subjects, rather than four core subjects and two electives. If she divided the 200 sheets equally among the five core subjects, there would be 200 ÷ 5 = 40 sheets in each section. Now we can see that art would actually have half of this amount, or 20 sheets of paper.
Answer:
28-8 is the answer simplified but not yet complete
20 is the final answer
Step-by-step explanation:
Hope this helps :)
Answer: Kia has ten times more money than Elena. Kia has more money that Elena.
Troy has one-tenth of the money Elena has. Troy has less money than Elena.
Step-by-step explanation:
Answer:
Triangle DEF is not a right triangle ; possible lengths are 20 & 15
Step-by-step explanation:
For right triangle;
the sum of the square of the two adjacent sides must equal the square of the hypotenus.
Therefore, (6^2)+(11^2)≠(13^2).
the possible length are 20 & 15 because
(20^2)+(15^2)=(25^2)