Answer:
450 miles , $90.5
Step-by-step explanation:
Let d be the miles driven
59 + 0.07d = 50 + 0.09d
d = 450
The two plans cost the same when he drives for 450 miles which the respective cost is 59 + 0.07(450) = $90.5
X^3 - 14x^2 + 49x = 0
Factor an x out:
x(x^2 - 14x + 49) = 0
Find two factors of 49 that add to -14 (-7 and -7). Convert the trinomial to two binomials:
x(x - 7)(x - 7) = 0
The zeros are:
x = 0 and x = 7.
7 occurs as a zero twice and therefore has a multiplicity of 2.
Answer:
15
Step-by-step explanation:
Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown
Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25
Answer:
65 degrees
Step-by-step explanation:
The missing angle on the bottom is 35 degrees. This is because it lies on a straight line with the other angle being 145 degrees and a straight line is always 180 degrees, so 180-145=35 degrees. Now we have to find x so we should add the two known angles (35+80=115) and subtract it from 180 (180-115) to get 65 degrees for x.