A coach needs both small and large cones to set up an obstacle course. The coach knows that there are fewer than 30 cones in the storage room. The coach needs at least a dozen large cones. Let x represent the number of small cones and y represent the number of large cones.

Which inequalities model the situation?

The inequalities x+y<30, x>0 and y≥12 model the situation.

Step-by-step explanation:

Given that:

There are fewer than 30 cones in the storage room.

x represent the number of small cones

y represent the number of large cones

Fewer cones means that there are no more cones than 30, thus

x+y < 30

As he needs both small and large cones,

x > 0

And the coach needs at least a dozen large cones,

y ≥ 12

Hence,

The inequalities x+y<30, x>0 and y≥12 model the situation.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.