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melamori03 [73]
3 years ago
13

Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donu

ts Dan will have delivered after a given number of hours to the corresponding recursive function. Tiles number of donuts delivered 2 hours from now number of donuts delivered 7 hours from now number of donuts delivered n hours from now number of donuts delivered 6 hours from now Pairs next = now + 6 × 60, starting at 48 arrowBoth next = now + 60 + 60, starting at 48 arrowBoth next = now + 420, starting at 48 arrowBoth next = now + 60n, starting at 48 arrowBoth
Mathematics
1 answer:
frez [133]3 years ago
7 0
A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48                      because 2 hours meant  2*60 = 60+60

B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48                     because 7 hours meant  7*60 = 420 mn

C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48            (this is obvious)

so finally, 
 D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48                
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<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

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So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

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---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

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We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

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