So Angel hikes at 2.4 miles per hour. This says that in one hour he hikes 2.4 miles. In 1/3 of an hour then he would hike 1/3 of 2.4 miles, which is 2.4/3, or 0.8.
24x-45y=34x
To solve for y, subtract 24x:
-45y=10x
Divide by -45:
y=-10/45x
Reduce:
y=-2/9x
To solve for x, subtract 24x:
-45y=10x
Divide by 10:
-45/10y=x
Reduce:
-9/2y=x
a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by
c(q) = 300 + 0.25q
b) If q cones are sold for $1.25 each, the revenue is given by
r(q) = 1.25q
c) Profit is the difference between revenue and cost.
p(q) = r(q) - c(q)
p(q) = 1.00q - 300 . . . . . . slope-intercept form
d) The equation in part (c) is already in slope-intercept form.
q - p = 300 . . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.
e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.
f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.
g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.
h) Profit numbers are
425 cones: $125 profit
550 cones: $250 profit
700 cones: $400 profit
Answer:
52 green, 15 orange-Please mark brainliest hope this helped!
Step-by-step explanation:
g + o = 67 g = green, o = orange, x = total
g = 3o + 7
use substitution: (3o + 7) + o = 67
solve for o:
4o + 7 = 67
4o = 60
o = 60/4 = 15
solve for g:
g + 15 = 67
g = 52
