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1 answer:
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Answer:
-2<x<8
see below for graph
Step-by-step explanation:
First, we need to solve the inequality.
Inequality: |x-3|<5
Split into two equations:
x-3<5
x-3>-5 (notice how the sign is flipped when we make the number negative)
let's start with x-3<5
add 3 to both sides
x<8
now
x-3>-5
add 3 to both sides
x>-2
The graph is below
the intersection is the solution.
Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)
the equation is -2<x<8
Hope this helps!
Answer:
36.25 is equal to the 45.5% of 79.67
Step-by-step explanation:
To solve this you just have to find the value that represents the 100%.
To do this, you can use the Rule of Three that allows you to solve problems of proportions.
In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.
Mathematically it will be:
Then you have to solve the equation to find <em>X</em>:
And finally, the answer is: