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aalyn [17]
3 years ago
8

4

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0
She is right.
30+20=50. they’re estimating so it will not be far off.
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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
Find the taxable income of a married couple with three children, who have a combined income of $62,000.
xeze [42]

Answer :

taxable income is $30,300

Step-by-step explanation:

Given

The combine income of the husband and wife = $62,000

Number of children the couple has = 3

In order to find out the taxable income for an U.S. family, the following formula is used

taxable income = total income - exemption deduction - standard deduction

We know the exemption deduction for a married couple with three kids fixed according to the U.S. government is $19,500.

And the standard deduction for a married couple with three kids fixed according to the U.S. government is $12,200.

Therefore,

taxable income = total income - exemption deduction - standard deduction

                         = $62,000 - $19,500 - $12,200

                         = $30,300

Thus the taxable income is $30,300.

3 0
3 years ago
What is the distance between points (-3 -5) and (-3 -7)?<br> Please help I’m tryna bring up my grade
Ahat [919]

Answer:

hope it helps you...........

5 0
3 years ago
Read 2 more answers
(PLEASE HELP)
Delvig [45]
The answer is 40

91+49=140
180-140=40
4 0
3 years ago
Read 2 more answers
What is the value of k
Nikitich [7]

Answer:

K = 10

Step-by-step explanation:

Interior angle adjacent to y = 180-115 = 65

Sum of interior angles in a triangle = 180

This the remaining interior angles for the triangle = 180-65= 115

In other words,

4K+5+6k+10 = 115

Simplify and solve:

10k + 15 = 115

10k = 115-15=100

K= 100/10 = 10

Hope this helps.

Good Luck

4 0
4 years ago
Read 2 more answers
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