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Kitty [74]
3 years ago
5

Write a break-even problem and use a system of linear equations to solve it.

Mathematics
1 answer:
Kipish [7]3 years ago
8 0
Sup Dixie I n d d d d d d did d s s did s s Dad d did d d d did did d d d d d
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As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff
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15,120

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of 9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120} permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

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Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if th
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Let the base of the ladder be x ft and the extension be y ft.

"when fully extended, a ladder is 28 feet in length."

means: x+y=28

"<span>the extension is 4 feet shorter than the base</span>"

means: y=x-4,   that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)

thus, we have the system of equations:

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adding the 2 equations, we have:

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