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mixer [17]
3 years ago
13

Determine whether each expression is equivalent to x – 0.2x. Check the box for Yes and leave blank for No.

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

(1 – 0.2)x 0.2x – x 0.8x 1 – 0.2

Step-by-step explanation:

a) [\left( 1\text{ }\text{ }0.2 \right)x=x-0.2x\]

Thus, it is equivalent to\[x-0.2x\]

b) \[0.2x\text-{ }\text{ }x\] is not equivalent to \[x-0.2x\]

c)\[x-0.2x=0.8x\]

Thus,\[0.8x\] is equivalent to \[x-0.2x\]

d) \[1\text{ }-\text{ }0.2\] is not equivalent to\[x-0.2x\]

Learn more-

brainly.com/question/3932289?referrer=searchResults

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3 years ago
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Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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