Complete question is;
In a race that consisted of three parts, the cycling part was 12 1/2 miles long. The running part of the race was 1/4 the distance of the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was the entire distance, in miles of the race?
Answer:
Total distance of race = 17.1875 miles
Step-by-step explanation:
The 3 parts of the race are; cycling, running and kayaking.
The cycling distance was; 12½ miles
We are told that the running part was ¼ of the cycling distance. Thus;
Running distance = ¼ x 12½ = ¼ x 25/2 = 25/8 miles
Lastly, we are told that the kayaking part was ½ the distance of the running part. Thus;
Kayaking distance = ½ x 25/8 = 25/16
Thus,total distance of race = cycling distance + running distance + kayaking distance = 12½ + 25/8 + 25/16 = 17.1875 miles
Answer:
5
Step-by-step explanation:
The fractions already have a common denominator of 5
The 2 {} you have are called sets. The union is what the 2 sets have in all.
You can think of this as you have green blue yellow cards. and your friend have green orange red cards. What colors do you have if you combine your cards.
Now that's just an example, in the question's case is what numbers does the 2 sets have in total.
Therefore the union of these 2 sets are {9,10,11,13}
Hope it helps!
The coefficient of 2xy3 is 2
![\frac{9(14+16)*2-(8*4+12*9)}{40} \\ \frac{(9*2)(14+16)-[(8*4)+(12*9)]}{40}\\ \frac{(18*30)-(32+108)}{40}\\ \frac{540-140}{40}\\ \frac{400}{40}\\ 10](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%2814%2B16%29%2A2-%288%2A4%2B12%2A9%29%7D%7B40%7D%20%5C%5C%0A%5Cfrac%7B%289%2A2%29%2814%2B16%29-%5B%288%2A4%29%2B%2812%2A9%29%5D%7D%7B40%7D%5C%5C%0A%5Cfrac%7B%2818%2A30%29-%2832%2B108%29%7D%7B40%7D%5C%5C%0A%5Cfrac%7B540-140%7D%7B40%7D%5C%5C%0A%5Cfrac%7B400%7D%7B40%7D%5C%5C%0A10)
So the expression is equal to
10.
