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Serga [27]
3 years ago
5

Alex, Bob, and Claudia split 126 cm wire evenly among themselves. They then proceeded to cut their pieces of wire into smaller,

equal parts. Alex cut his wire 18 times, and kept 7 pieces. Bob cut his wire 2 times more than Alex did, and kept 9 pieces. While Claudia divided her wire into 13 equal parts, and kept only one piece. Who kept the longest part of the original wire and what was the length of that part?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0
<h3>Answer:</h3>
  • Bob
  • 18 cm
<h3>Step-by-step explanation:</h3>

If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.

Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.

Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.

Bob kept (3/7)·(1/3)·126 cm = 18 cm.

Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.

Bob kept the longest part of the original wire.

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Answer:

4 5/8

Step-by-step explanation:

7 7/8 - 3 1/4

7 7/8 - 3 2/8

4 5/8

8 0
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X + 3 = x + 6<br> is it one solution no solution or infinitely solutions
mars1129 [50]

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Step-by-step explanation:

3 0
3 years ago
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Lines a and b are parallel.
VashaNatasha [74]
I have added a screenshot with the complete question along with a diagram representing the scenario.

<u><em>Answer:</em></u>
s = 22°

<u><em>Explanation:</em></u>
<u>1- getting the top right angle of line B:</u>
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
<u>Top right angle of line B = 158°</u>

<u>2- getting the value of s:</u>
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
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Hope this helps :)

8 0
3 years ago
Miles ordered 126 books to give away at the store opening. What is 126 rounded to the nearest hundred?
dlinn [17]
Miles ordered 126 = rounded : 130
3 0
3 years ago
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If the perimeter of a rectangular picture frame must be less than 180 in, and the width is 26 in, what must the height h of the
valentinak56 [21]
You would form this inequality:

52 + 2x < (or equal to) 180

Then, solve as you would in an ordinary equation.

Subtract 52 from both sides of the sign. 180 - 52 = 128.

So, 2x is less than or equal to 128.
Divide 128 into two to get 64.

The height of the frame must be 64 inches.
4 0
3 years ago
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