Answer:
16x -2
Step-by-step explanation:
You know how to compute the perimeter of a rectangle of length L and width W:
P = 2(L+W)
Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.
P = 2((5x-2) +(3x+1))
P = 2(8x -1)
P = 16x -2 . . . the perimeter of the rectangle
Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
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Answer:B At least 4 pounds but less than 6 pounds.
Step-by-step explanation:
The last choice: Running up a hill, then walking up a hill, turning around and running down the hill, then walking down the hill
Y = 2/7x - 4
y + 4 = 2/7x
4 = 2/7x - y (multiply everything by seven to get rid of the fraction)
28 = 2x - 7y
2x - 7y = 28