Answer:
22/a
Step-by-step explanation:
The quotient of 22 and a number = 22/a
Answer:
The slope of the line is 8.
Step-by-step explanation:
The points on the straight line are:
A = (-1, -12)
B = (9, 68)
Compute the slope of the line as follows:
Thus, the slope of the line is 8.
The sine of any acute angle is equal to the cosine of its complement. the cosine of any angle is equal to the sine of its complement also
Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x
-----------------------------------------------------------------------
Explanation:
The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4
The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4
That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid
------------
The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0
The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality
Answer: Profit = 0.4x - 25
Step-by-step explanation:
Let x represent the number of cookies that he makes and sells.
Profit = Revenue - total cost
Manny purchased a set of cookie cutters for $25. The ingredients for his cookies will cost him $0.35 per Cookie. This means that his total cost of producing x cookies is
0.35x + 25
He plans to sell cookies for $0.75 each. This means that the revenue generated from selling x cookies is 0.75x
Therefore, the equation giving Manny's total profit per cookie as a function of the number of cookies he makes is
Profit = 0.75x - (0.35x + 25)
Profit = 0.75x - 0.35x - 25
Profit = 0.4x - 25
