I think second must b the answee
Answer:
He bought 6 sweaters
Step-by-step explanation:
235.94-80.00=155.94
155.94/25.99=6
The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3
<u>Solution:</u>
Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope
Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.
If the slope of the line is undefined, then, by definition the line is a vertical line.
For a vertical line, the value of x is the same for each and every value of y
Given point is (x, y) = (-3 , 8)
Because the value of x in the point provided in the problem is -3, we get
Equation of line is : x = -3
Answer:
465
Step-by-step explanation:
Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.
![_{n}C_{k}=\dfrac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=_%7Bn%7DC_%7Bk%7D%3D%5Cdfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
Our variables are:
n = 31
k = 2
![_{31}C_{2}=\dfrac{31!}{2!(31-2)!}](https://tex.z-dn.net/?f=_%7B31%7DC_%7B2%7D%3D%5Cdfrac%7B31%21%7D%7B2%21%2831-2%29%21%7D)
![_{31}C_{2}=\dfrac{31!}{2!29!}](https://tex.z-dn.net/?f=_%7B31%7DC_%7B2%7D%3D%5Cdfrac%7B31%21%7D%7B2%2129%21%7D)
![_{31}C_{2}=\dfrac{31!}{2!29!}](https://tex.z-dn.net/?f=_%7B31%7DC_%7B2%7D%3D%5Cdfrac%7B31%21%7D%7B2%2129%21%7D)
![_{31}C_{2}=465](https://tex.z-dn.net/?f=_%7B31%7DC_%7B2%7D%3D465)
The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.
Answer: ![t=\frac{17}{v}+\frac{12}{v-2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B17%7D%7Bv%7D%2B%5Cfrac%7B12%7D%7Bv-2%7D)
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since ![Speed=\frac{distance}{time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
therefore, ![Time=\frac{distance}{speed}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Let
be the time he walked with speed v.
then ![t_1=\frac{17}{v}](https://tex.z-dn.net/?f=t_1%3D%5Cfrac%7B17%7D%7Bv%7D)
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let
be the time he hiked 12 km,
Then ![t_2=\frac{12}{v-2}](https://tex.z-dn.net/?f=t_2%3D%5Cfrac%7B12%7D%7Bv-2%7D)
The total time for the whole trip is given by:-
![t=t_1+t_2=](https://tex.z-dn.net/?f=t%3Dt_1%2Bt_2%3D)
Substitute the values of
and
in the equation, we get
![t=\frac{17}{v}+\frac{12}{v-2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B17%7D%7Bv%7D%2B%5Cfrac%7B12%7D%7Bv-2%7D)