A small manufacturing plant produces two kinds of bicycles—single speed and ten-speed. The plant can manufacture up to 400 of the single speed bicycles and up to 500 of the ten-speed bicycles per month, but it can only manufacture a total of 650 of both kinds every month. It takes 40 man-hours to manufacture a single-speed bicycle and 80 man-hours for the ten-speed; there are 44,000 man-hours available per month. The profit on a single-speed bicycle is $20 and the profit on a ten-speed bicycle is $30.

Determine the production schedule that will maximize the total monthly profit z from the manufacture and sale of x single speed and y ten-speed bicycles.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

i use my brain for prombles like this maybe you could try it

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.