To determine the number of deer in a forest, a naturalist catches, tags, and releases 15 deer. Later, 20 deer are caught, and 6 have tags. Estimate the number of deer in the forest.

50 deer in the forest.

Step-by-step explanation:

Since this is a ratio problem and we are given three values and a single unknown (total number of deer) we can use the Rule of three to solve for the variable. We do this by multiplying the diagonal values and then dividing by the last available value. That will give us the value of the variable which in this case would be represented as x.

20 deer <>  6 tagged

x  deer  <>  15 tagged

(20*15) / 6 = x

300 / 6 = 50 total deer

Based on these values we can estimate that there are a total of 50 deer in the forest.

dude   i don't even know. i've been trying for hours.

step-by-step explanation:

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