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masha68 [24]
4 years ago
9

Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds

of trail mix did he eat during both breaks? Explain.
Mathematics
2 answers:
dybincka [34]4 years ago
8 0
He ate 5/12 in all because 1/4 and 1/6 are equal to 3/12 and 2/12 and the sum of those two is 5/12
tino4ka555 [31]4 years ago
7 0
Since we know that he ate 1/4 pound one time, and 1/6 another time, we have to add up the fractions. 

1/4+1/6

LCM of 4 and 6 = 12

3/12 + 2/12 

Add the numerators: 

5/12

So, he ate 5/12 of a pound of bars in both breaks. 

Hope this helps!
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2 years ago
Tickets to a concert cost either $12 or $15. A
olga_2 [115]

Answer:

  • 12x +15y = 4140; x + y = 300
  • x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

__

Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

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The number of tickets sold is ...

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  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

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3 years ago
Malik solved this system of equations.
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We can solve for x in by substituting 'y=15-5x' from the second one into the first equation, because in the second equation, y has no coefficient, which will make it easier to substitute.

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Answer: D

x < 1 is parabol curve

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