Answer:
Race completed in 48 minutes.
Step-by-step explanation:
Let the speed of Max on hoverboard is = x
Then as per question speed of Victoria on hoverboard = 3x
Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3
Now we will form the equation.
As we know the formula speed = distance/time
Let the time taken by both to complete the race be t minutes.
Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard
Then the equation will be
12(3x)+(1/3)x(t-12)=xt
![36x+\frac{xt}{3}-4x=xt](https://tex.z-dn.net/?f=36x%2B%5Cfrac%7Bxt%7D%7B3%7D-4x%3Dxt)
![x(36+\frac{t}{3}-4)=xt](https://tex.z-dn.net/?f=x%2836%2B%5Cfrac%7Bt%7D%7B3%7D-4%29%3Dxt)
![36+\frac{t}{3}-4=t](https://tex.z-dn.net/?f=36%2B%5Cfrac%7Bt%7D%7B3%7D-4%3Dt)
![32=t-\frac{t}{3}](https://tex.z-dn.net/?f=32%3Dt-%5Cfrac%7Bt%7D%7B3%7D)
![\frac{2t}{3}=32](https://tex.z-dn.net/?f=%5Cfrac%7B2t%7D%7B3%7D%3D32)
![t=\frac{(32)3}{2}=48](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%2832%293%7D%7B2%7D%3D48)
So 48 minutes it took to complete the race.
Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by
![\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}](https://tex.z-dn.net/?f=%5CRightarrow%20d_1%3D40%5Ctimes%2014%5C%5C%5CRightarrow%20d_1%3D560%5C%20%5Ctext%7Bmiles%7D)
It is given that d is the distance from theatre to friend's house
So, d must be less than
i.e.
![d](https://tex.z-dn.net/?f=d%3Cd_1)
So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
It's too blurry to read. If you tell me what it says, I'll try to give you an answer.
Answer:
Parallelogram
Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.
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