<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:
5
Step-by-step explanation:
There are 3 feet in a yard, so 420 feet is 420/3 = 140 yards.
The total number of yards Edith needs is ...
65 yd + 580 yd = 645 yd
So, the total number of balls of yarn Edith needs is ...
(645 yd)/(140 yd/ball) ≈ 4.61 balls
Edith needs to buy 5 balls of yarn to make her projects.
A circle has a radius of 3 An arc in this circle has a central angle of 20 what is the length of the arc
Answer:
63/4
Step-by-step explanation:
Let the sails yard in 8 3/4 minutes= X
7 1/2 yards sails= 4 1/6 minutes
X = 8 3/4 minutes
Let us Convert the fraction to improper fraction
4 1/6 minutes= 25/6 minutes
8 3/4 minutes= 35/4 minutes
7 1/2 yards sails= 15/2 sails yard
Then
15/2 yards sails= 25/6 minutes
X = 35/4 minutes
If we cross multiply
25/6 X = 15/2 × 35/4
25/6 X =525/8
6 × 525= (25× 8)X
3150= 200X
X= 3150/200
X=63/4
Step by step solution is above
