Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
The answer is 54/385, or 0.14025974025974.
Hope this helps!
Answer:
Step-by-step explanation:
(x + 2)(x +9)= x*(x +9) + 2*(x +9)
= x*x + x*9 + 2*x + 2*9
= x² +<u> 9x + 2x </u>+ 18 {Combine like terms}
= x² + 11x +18
Answer:
69
Step-by-step explanation:
i'm just hear to get points sorry
Answer: Choice B (31, 52)
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Explanation:
To go from the point (1,2) to (4,7) we do two things:
A) Move 3 units to the right
B) Move 5 units up
Applying the scale factor will multiply those movement steps by 10. So instead of "3 units to the right" we'll go "30 units to the right" since 3*10 = 30. Similarly, we'll move 50 units up instead of 5 (5*10 = 50)
So if we start at (1,2) and move 30 units to the right and 50 units up, then we'll land on (31, 52) which is the image point for the preimage (4,7)
This is why the answer is choice B
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Note: We can alternatively shift both initial points to the left 1 and down 2 so that (1,2) lands on the origin (0,0). That means (4,7) turns into (3,5). Apply the scale factor through multiplying both coordinates by 10. This works only because the reference point is the origin. We end up with (30,50). Now undo the "left 1 and down 2" to "move right 1, up 2" and we arrive at (31,52) which is the same answer as before. So this is further confirmation that the answer is choice B
