So for this you just have to know originally how many meters are in the centimeter so it would be 1259 cm =12.59 m
Answer: Keisha can run faster than Stephan.
Step-by-step explanation:
Let's figure out how long it takes for them to run a mile.
![\frac{15.75}{3} =5.25\\\frac{3}{3} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B15.75%7D%7B3%7D%20%3D5.25%5C%5C%5Cfrac%7B3%7D%7B3%7D%20%3D%201)
It would take Stephan 5.25 minutes to run a mile
![\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1](https://tex.z-dn.net/?f=%5Cfrac%7B22.6%7D%7B5%7D%20%3D4.52%5C%5C%5C%5C%5Cfrac%7B5%7D%7B5%7D%20%3D1)
It would take Keisha 4.52 minutes to run a mile
Since Keisha takes less time to run a mile she is faster.
The answer is 28
30+12-18-7+11= 28
<em><u>The set of equations that represent this situation is:</u></em>
![y = \frac{1}{6}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%20%2B%203)
![y = \frac{1}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
<em><u>Solution:</u></em>
Let "x" represent the smaller number
Let "y" represent the larger number
Given that,
<em><u>Six times a larger number is equal to the sum of a smaller number and 18</u></em>
Here "times" represents multiplication
Six times a larger number = sum of a smaller number and 18
6 x larger number = smaller number + 18
6y = x + 18
Thus,
![y = \frac{1}{6}(x + 18)\\\\y = \frac{1}{6}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B6%7D%28x%20%2B%2018%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%20%2B%203)
<em><u>Also given that difference of twice the larger number and the smaller number is 6</u></em>
twice the larger number - smaller number = 6
2y - x = 6
Thus,
2y = x + 6
![y = \frac{1}{2}(x + 6)\\\\y = \frac{1}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20%2B%206%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
Thus the set of equations that represent this situation is:
![y = \frac{1}{6}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%20%2B%203)
![y = \frac{1}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
Answer: 1/15
Step-by-step explanation:
1/15 = 0.6......