John thunderhawk is making furniture. he finds that to design a particular cabinet and set up his shop to produce it costs $1,400. then the labor and supplies to build each one are $400. so his cost, y, for x items is represented by y=1,400 + 400x. he can sell the cabinets for $600. so his revenue, y, is represented by y=600x. the solution to this system of equations is his break-even point, the point beyond which he starts making a profit. how many cabinets must he sell to break-even?

x=7

Explanation:

1. y=y so 1,400+400x=600x

2. combine like term by subtracting 400x from both sides giving you 1,400=200x

3. isolate the variable by dividing 1,400/200 giving you 7=x, x=7

d

step-by-step explanation:

i used the pitagoras theoreme

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: