Dan was the team’s star batter. He had a batting average of 60%. If Dan had 30 hits last summer, how many at bats did he have?

50 bats total

Step-by-step explanation:

To solve this problem, all one has to do is, set up a proportion, remember, a proportion is;

In this case;

It is given that;

percent  - 60%

hits - 30

Now substitute in the values and solve;

Solve, first simplify;

Now use cross products;

150 = 3(total_bats)

Inverse operations;

150 = 3(total_bats)

/3      /3

50 = total_bats

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204