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vivado [14]
3 years ago
6

Cheryl Falkowski has a collection of silver spoons from all over the world. She finds that she can arrange her spoons in sets of

7 with 1 left​ over, sets of 8 with 7 left​ over, or sets of 15 with 3 left over. If Cheryl has fewer than 200​ spoons, how many are​ there?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
Since she can arrange it in sets
let N=total number of spoons so
N mod7 1 ---->7a+1=n where a is a natural num
N mod 8 7---->8b+7=n where b is a natural num
N mod 15 3----->15c+3=n where c is a natural n
for the first set {8,15,22,29,36,43,50,57,65,71....}
for the second set {15,23,31,39,47,55,63,71,79..}
for the third set {18,33,48,63,78,....}
and find them manually but what is easier is to solve them using algebra and logic (college level)
N=840m+183 where m is zero or a postive integer
so the only N below 200 is 183
let us check
183/7=26 R 1
183/8=22 R 7
183/15=12 R 3
which means our soultion is correct
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Answer:

It would take 6 hours for you to travel 72 miles.

Step-by-step explanation:

This question can be solved by a simple rule of three.

We have that:

Each hour, you ride 12 miles.

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So:

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Answer:

A.

  • 18 > 14, true

B.

  • 12 - 16 = -4, true

C.

<u>Mean:</u>

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  • Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

<u>The difference:</u>

  • 14.8 - 11.73 > 1, NOT true

D.

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Answer:

Step-by-step explanation:

[8/63] + [ 4/15 ]

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Hello,


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\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





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