If u r not interested in the explanation jump to the end ***
1. We assume, that the number 53.55 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 53.55 is 100%, so we can write it down as 53.55=100%.
4. We know, that x is 15% of the output value, so we can write it down as x=15%.
5. Now we have two simple equations:
1) 53.55=100%
2) x=15%
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:
53.55/x=100%/15%
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 15% of 53.55
53.55/x=100/15
(53.55/x)*x=(100/15)*x - we multiply both sides of the equation by x
53.55=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x
53.55/6.6666666666667=x
8.0325=x
x=8.0325
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now we have:
15% of 53.55=8.0325.
the total price was 53.55+8.0325=61.5825 the price before the discount
61.5825 - 38 = 23.5825 ~ 23.58
Answer: 2/4 simplified: 1/2
Step-by-step explanation:
Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.
Answer: the last one
Step-by-step explanation: because 7 times 24 equals 168 and x would be 21 so 21 times 8 equals 168.
