I’m not 100% sure I’m correct on this but when she started at 12,584 miles, her tank was full. After driving, it was at 12,584 miles which is a difference of 208 miles. So if you put that into a fraction: it would be 31.12 dollars/208 miles, Which means every 31.12 dollars spent, she is able to drive 208 miles. Now all you need to do is simplify that. If you divide 31.12 by 208, you get around .149. That rounded would be about .15 gallons of gas. So every (and I don’t know if t tells you to round or not so be careful on that) .149 dollars, (not 149, it’s .149) she goes one mile.
Answer:
No solution
Step-by-step explanation:
As 6x on lhs and 2×3x on the rhs are equal and cancel each other
Answer:
545.119
Step-by-step explanation:
75 * (1 + .2/12)^10 * 12
75 * (1.016667)^10*12
Now things get a little tricky. What does 10*12 mean? I'm taking it to mean 120
75 * (1.016667)^120
75 * 7.268
545.119
Area = width * height
since the window is 20 inches higher than the width:
width +20 = height
640 = width * width+20
640 = width^2 +20*width
width^2 +20*width - 640 = 0
width = 17.203
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Double Check
if width = 17.203 then height = 37.203
area = 17.203 * 37.203 = 640 square inches Correct!!
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 -
≈ - 5.32 ( to 2 dec. places )
x = - 2 +
≈ 1.32 ( to 2 dec. places )