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docker41 [41]
3 years ago
10

What is the answer to this question?

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

a.

Step-by-step explanation:

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If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

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

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
4 years ago
Why am i so pretty and funny ? :/
BabaBlast [244]

Answer:

Because you are amazing

7 0
3 years ago
Read 2 more answers
An airplane is ascending at a constant rate of 15 feet per second what is the change in the altitude during 10 minutes of flight
Elden [556K]

Answer:

9000 ft

Step-by-step explanation:

5 0
3 years ago
1. A team loses 20 yards and then they gain 7
Elena L [17]

Answer:

The team lost 13 yards

Step-by-step explanation:

They lose 20 then gain 7. so the equation would be 20-7=13

5 0
2 years ago
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In a bus of 40 passengers, the number of women is 7 times more than the number of men. How many women are on that bus? Explain y
IgorC [24]

Answer: is 5

Step-by-step explanation:

x is the missing number for women                                                        women are 7 times more than the number of men                                                        

So you do x times 7, which is 7x

Then you add them together

x + 7x = 8x

8x = 40

At last you divide 40 by 8

And the answer is 5

8 0
3 years ago
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