Answer:
The runner attain to 18 miles per hour speed.
Step-by-step explanation:
First we calculate the velocity in meters per second:
![v=e/t](https://tex.z-dn.net/?f=v%3De%2Ft)
Where v is velocity, e is distance traveled, and t time taken to travel the distance e.
![v=400m/50sec=8m/s](https://tex.z-dn.net/?f=v%3D400m%2F50sec%3D8m%2Fs)
So, the speed is 8m/s and now we need to convet to miles per hour.
![\frac{8m/s}{1609m}*\frac{1mile\int\limits^a_b {x} \, dx }{1hour}*3600s=17,89](https://tex.z-dn.net/?f=%5Cfrac%7B8m%2Fs%7D%7B1609m%7D%2A%5Cfrac%7B1mile%5Cint%5Climits%5Ea_b%20%7Bx%7D%20%5C%2C%20dx%20%7D%7B1hour%7D%2A3600s%3D17%2C89)
Rounded: 18 miles per hour
Call the number of hours babysitting
![B](https://tex.z-dn.net/?f=B)
and the number of hours walking dogs
![D](https://tex.z-dn.net/?f=D)
.
We know that she earns $6/hr for babysitting or
![6B](https://tex.z-dn.net/?f=6B)
, and $5/hr walking dogs or
![5D](https://tex.z-dn.net/?f=5D)
. We also know the total money is $43 and the total time is 8hours. Therefore:
![B+D=8](https://tex.z-dn.net/?f=B%2BD%3D8)
![6B+5D=43](https://tex.z-dn.net/?f=6B%2B5D%3D43)
To solve: First rearrange equation 1 to solve for either
![B](https://tex.z-dn.net/?f=B)
or
![D](https://tex.z-dn.net/?f=D)
(doesn't matter which, I'll use
![B](https://tex.z-dn.net/?f=B)
):
![B=8-D](https://tex.z-dn.net/?f=B%3D8-D)
Now substitute into equation 2:
![6(8-D)+5D=43](https://tex.z-dn.net/?f=6%288-D%29%2B5D%3D43)
and solve for
![D](https://tex.z-dn.net/?f=D)
![48-6D+5D=43](https://tex.z-dn.net/?f=48-6D%2B5D%3D43)
![-D=-5](https://tex.z-dn.net/?f=-D%3D-5)
![D=5](https://tex.z-dn.net/?f=D%3D5)
Now backsubstitute to solve for
![B](https://tex.z-dn.net/?f=B)
:
![B=8-D](https://tex.z-dn.net/?f=B%3D8-D)
![B=8-5](https://tex.z-dn.net/?f=B%3D8-5)
![B=3](https://tex.z-dn.net/?f=B%3D3)
She babysat for 3 hours and walked dogs for 5.
To check our work:
![6B+5D=43](https://tex.z-dn.net/?f=6B%2B5D%3D43)
![6(3)+5(5)=43](https://tex.z-dn.net/?f=6%283%29%2B5%285%29%3D43)
![18+25=43](https://tex.z-dn.net/?f=18%2B25%3D43)
![43=43](https://tex.z-dn.net/?f=43%3D43)
CHECKS
Answer:
200 oz
Step-by-step explanation:
Just use the equation
0.32x=200
Answer:
3 in.
Step-by-step explanation:
5x5=20
7x2=14
20-14=6
6 divided by 2=3
Hope this helped
To get the simplest form of a fraction, simplify or solve it as far as it can be solved. In the case of this fraction for example, both 6 and 18 are divisible by 2. Divisible means both these numbers can be divided by 2.
when we divide them by 2 we get 3 instead of 6 on top and 9 instead of 18 agh the bottom.
6/18 = 3/9
Now 3/9 are both numbers that can further be divided because they can both be divided by 3
this division will give us
1/3 is the answer. This is the simplest form of the fraction 6/18.