<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
The coordinates of the point that is 4/5 of the way from T to S is (2,10)
<h3>How to determine the coordinates of the point?</h3>
The given parameters are:
T = (6,-2)
S = (1,13)
Location = 4/5
The location 4/5 means
Ratio, m : n = 4 : 1
The coordinate is then calculated as:
This gives
Evaluate
This gives
(x,y) = (2,10)
Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)
Read more about line segment ratio at:
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Answer:
1. B
2. A
3. B
Step-by-step explanation:
1. Can be checked using the vertical line test. By placing a vertical line at any x value, there can only be one point at which the line meets a part of the graph.
2. An x value can only correspond to one y value. B is incorrect since the x value of 5 is both -4 and 1 for the y values.
3. Same as above but with x and y charts. A x value can only correspond to one y value. A is incorrect as two of the same x values (2) appears and corresponds to two different y values (5 and 6).
Answer:
32 x p/100 = 40
(Solve for P)
Multiply by 100 on both sides
32x = 4,000
Divide by 32 to get:
X = 125%
(reason why you multiply by 100 is because opposite of division is multiplication and we multiply the number "100" because we always multiply the denominator to both sides when having a fraction so you can solve for p or whatever. And that means p/100 x 100 it means p because since p is not a known value we consider 1/100 x 100 = 1, a variable by itself means 1 so you could just put p by itself next to the number its multiplied by which is 32 so it would be 32p because your multiplying both and the opposite of that would be dividing by 32 on both sides because you are getting rid of the 32 so therefore you will be left with: X = 125)
10 + (7 * 3.5) = 34.5
The total weight of the boxes is 34.5 lb.
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