Answer:
The answer is 286.
Step-by-step explanation:
<u>13! can be rewritten</u> as 13*12*11*10!.
Since <u>10! is on the top and bottom of the fraction</u>, we can<em> eliminate them</em>. We are then left with 13*12*11/3!.
3! = 6. We can <u>eliminate the 6 from the denominator by diving the 12 by 6</u> in the numerator to get 13*11*2.
Finally, we can can evaluate the expression to get 286.
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
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<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
1/2(3g-2)=g/2
(3g-2)/2=g/2
2(3g-2)=2g (cross multiplication)
6g-4=2g
6g-2g=4
4g=4
g=4/4
g=1
1. y= -1/2x + 5/2
2.y= 2x-15
Blue can be 1/10 and yellow can be 3/10 or other way around.
