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kykrilka [37]
4 years ago
15

a recipe calls for 2 3/4 cups of flour and 3 1/2 cups of pecans. What is the total amount of ingredients used

Mathematics
1 answer:
malfutka [58]4 years ago
5 0

Answer:

6 1/4 cups

Step-by-step explanation:

I converted the 2 3/4 to 2.75 and 3 1/2 to 3.5, then added 2.75+3.5 to get 6.25 which converts to 6 1/4 cups

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If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
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Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

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