Create a proportion using the form = to represent the following word problem.78% of what number is 42?
Answers
x = 53.85
Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.
1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42
2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :
42/0.78 = 53.85
1. We assume, that the number 42 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 42 is 100%, so we can write it down as 42=100%.
4. We know, that x is 78% of the output value, so we can write it down as x=78%.
5. Now we have two simple equations:
1) 42=100%
2) x=78%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42/x=100%/78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 78% of 42
42/x=100/78
(42/x)*x=(100/78)*x - we multiply both sides of the equation by x
42=1.28205128205*x - we divide both sides of the equation by (1.28205128205) to get x
42/1.28205128205=x
32.76=x
x=32.76
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y=7-x
x + y= 500
120x + 35y= 500
(35+120) (x + y)= 500
35x + 120y= 500
Answers
This is the correct equation because:
x represents the clients that got a cut (at a cost of 35)
So the total profit she earned from just the cuts is 35 times the number of people for a cut
y represents the clients that got a cut and color (120)
So the total profit she earned from the cut/color is 120 times the # of people for cut/color
It is equal to $500 because thats how much Earyn earned!
I hope this helped
What is 82% of 200?
What percent of 900 is 18?
Please show work it's for homework!
Answers
2. 24
3. 164
4. 2%
Work shown
Answers
Answer:60
Step-by-step explanation:
Just do 6x10
Answers
Answer:
g/8 - 17= C
Step-by-step explanation:
g/8 = A ( average game sales per employee)
A - 17 = C (amount of games Chris sold)
Chris sold C amount of games
I answered to the best of my ability
Answers
A shape with five sides is a pentagon