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Taya2010 [7]
3 years ago
7

if a birthdat cake is cut into 12 pieces and five children each eat one piece, what fraction of the cake is gone?

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

5/12

Step-by-step explanation:

12 pieces of cake is the original amount and 5 kids ate it 5 pieces that means 5/12 of the cake it gone.

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Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
babunello [35]

Answer:

\boxed{43}

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by  

  • 4 leave 3 (4n + 3)
  • 5 leave 3 (5n + 3)
  • 6 leave 1  (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. \begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}

Check:

43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1

OK .

6 0
3 years ago
Let a=1,-3,2 and b= -1,3,-2 find a-3b
qaws [65]
A=<1,-3,2> and b=<-1,3,-2>

a-3b=<1,-3,2>-3<-1,3,-2>
a-3b=<1,-3,2>-<3(-1),3(3),3(-2)>
a-3b=<1,-3,2>-<-3,9,-6>
a-3b=<1-(-3),-3-9,2-(-6)>
a-3b=<1+3,-12,2+6>
a-3b=<4,-12,8>

Answer: a-3b=<4,-12,8>
7 0
3 years ago
The area of a rectangle is 108.35 in2 and the length is 7.8 in. Find the width.
Jet001 [13]

Answer:

13.89 inch

Step-by-step explanation:

area  = length x width

=> width = area/length = 108.35/7.8 = 13.89 inch

8 0
2 years ago
Read 2 more answers
a plumber has a piece of pipe that is 2 meters long he needs to cut it into section of 10 centimeters long how many sections wil
ahrayia [7]
Since I can't post pictures in this answer, I will just tell you how to get the answer. For this question, you need to consider, how many centimeters go into 2 meters? Well, since 1 meter equals one hundred centimeters, 2 meters would equal 200 centimeters. And since we need to know how many 10 centimeter long sections there would be, then you need to divide 200 by 10. 200 divided by ten equals 20. So the answer would be 20 sections. The plumber is able to cut 20 sections. I hope that helped!
8 0
3 years ago
Read 2 more answers
Need it answered ASAP answer choices is <br> A. 1.72<br> B. -.22<br> C. .75<br> D. 3
Ivanshal [37]

The answer to this is .75 seconds.


5 0
3 years ago
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