x = the number of miles
y = the total cost
Company A:
0.60x + 60 = y [Company A charges $60 plus $0.60 per mile(x)]
Company B:
0.90x + 30 = y [Company B charges $30 plus $0.90 per mile(x)]
To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:
y = y Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)
0.60x + 60 = 0.90x + 30 To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides
0.60x + 60 - 30 = 0.90x + 30 - 30
0.60x + 30 = 0.90x Subtract 0.60x on both sides to get "x" on one side of the equation
0.60x - 0.60x + 30 = 0.90x - 0.60x
30 = 0.30x Divide 0.30 on both sides to get "x" by itself
100 = x 100 miles
(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)
0.60x + 60 = y Plug in 100 into "x" since x = 100
0.60(100) + 60 = y
120 = y At 100 miles, both companies cost $120
Answer:
w ≥ 6
l ≥ 11
Step-by-step explanation:
The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.
34 ≤ 2*(5+w) + 2w
34 ≤ 10+2w+2w
34 ≤ 10+4w
24 ≤ 4w
6 ≤ w
This means the width must be at least 6 so the solution is w ≥ 6.
To find the length substitute 6 into l ≤ 5+w.
l ≤ 5 + 6
l ≤ 11
The length is l ≥ 11.
Answer:
y = (-6/13)x + (4/13).,
Step-by-step explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).
Answer:
920 pages
Step-by-step explanation:
Divide 13,789 by 15, you should get 919.27 so just round up so you can hold <em>all </em>the cards.
Answer:
6(x-3y+6)
Step-by-step explanation:
