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Genrish500 [490]
3 years ago
8

Which number below is a PRIME FACTOR of 111 A. 1 B. 111 C. 37 D. 17

Mathematics
2 answers:
Art [367]3 years ago
4 0
I think the answer is 37
katen-ka-za [31]3 years ago
4 0
C.37 I think

111 is a composite number<span>. 111 = 1 x 111 or 3 x 37. Factors of 111: 1, 3, 37, 111. Prime Factorization: 111 = 3 x 37.</span>
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Let x be the number of lower-level tickets sold, and y the number of upper-level tickets sold.

Now, if the theater sells 350 tickets total, that means the number of lower-level and upper-level tickets that got sold should add up to 350, so one equation in the system is

x+y=350

You also know that the theater earns $10250 in sales, so if each lower-level ticket costs $35, and each upper-level ticket costs $25[/tex], this means 35x represents the amount of money made from selling lower-level ticekts, and 25y represents the amount of money made from selling upper-level tickets. You get the second equation in the system,

35x+25y=10250

So the system is

\begin{cases}x+y=350\\35x+25y=10250\end{cases}

Any one of the methods listed in the second part works in solving this system (though I'm not sure what "variable" refers to), but I think substituting involves the least work.

Solve the first equation for either variable; I'll choose x.

x+y=350\implies x=350-y

Now substitute this into the second equation for x, then solve for y.

35(350-y)+25y=10250\implies 10y=2000\implies y=200

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6 0
3 years ago
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