<h3>
Answer: $2400</h3>
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Explanation:
x = Mason's salary in dollars for that month
x/6 = one-sixth of his salary
x/6+800 = total amount spent (the x/6 dollars and $800 combined)
In total, he spent half his salary. This means he spent x/2 dollars for the month overall.
Set the two items equal to one another. Solve for x.
x/6 + 800 = x/2
6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page
x+4800 = 3x
4800 = 3x-x
4800 = 2x
2x = 4800
x = 4800/2
x = 2400
His monthly salary is $2400
1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.
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Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.
Answer:
The answer is attached below
Step-by-step explanation:
This is impossible for a triangle to have however, your description perfectly matches a square or a rectangle
Answer:
(8, - 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 4 → (1)
- x - 3y = 7 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the x- term.
- 3x - 9y = 21 → (3)
Add (1) and (3) term by term to eliminate x, that is
0 - 5y = 25
- 5y = 25 ( divide both sides by - 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(- 5) = 4
3x - 20 = 4 ( add 20 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
solution is (8, - 5 )
