Answer:
Cost of small box = $13
Cost of large box = $18
Step-by-step explanation:
Let the cost of small box of candy = $s
And the cost of large candy box = $b
Beth sold 9 small and 10 large boxes of candies for $297.
9s + 10b = 297 -----(1)
Sarah sold 8 small and 5 large boxes of candies for $194.
8s + 5b = 194 -------(2)
Multiply equation (2) by 2 then subtract equation (1) from (2).
2(8s + 5b) - (9s + 10b) = (2×194) - 297
16s + 10b - 9s - 10b = 388 - 297
7s = 91 ⇒ s = $13
From equation (2),
(8×13) + 5b = 194
104 + 5b = 194
5b = 90
b = $18
Let 'x' represent the total distance from point A to point B
During the first hour he gets 0.25 of the way there: 0.25x
During the second hour he covers an additional 0.2 of the distance: 0.2x
During the third hour, he covers 0.3 of the distance: 0.3x
The total distance the biker traveled is:
0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x
The biker has: x - 0.75x = (1 - 0.75)x = 0.25x of the total distance left to go.
Answer: 
Step-by-step explanation:
For it to bisect the segment, we need to find the midpoint.
The midpoint is 
.
Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the given segment is 
, so the slope of the perpendicular bisector is 6.
Thus, the equation of the line in point-slope form is 
The distance between A and B is d = |B - A|
We have d = 3 and A = 12.
Substitute:
<h3>Answer: 9 and 15.</h3>
