Afarmer can spend no more than $4,000 on fertilizer and seeds. the fertilizer costs $2 per pound and seeds cost $20 per pound.

to summarize the situation, the farmer writes the inequality:

2f + 20s ≤ 4,000, where f is the number of pounds of fertilizer and s is the number of pounds of seeds.

which graph's shaded region shows the possible combinations of fertilizer and seeds the farmer can buy?

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Two streets intersect at a 30- degree angle. at the intersection, the are four crosswalks formed that are the same length. what type of quadrilateral is formed by the crosswalks?

According to the general equation for conditional probability, if p(ab) = 4/5 and p(b)= 5/6, what is p(a|b)? a. 8/9 b. 35/36 c. 24/25 d. 15/16