Ateam of runners is needed to run a 1 3 -mile relay race. if each runner must run 1 9 mile, how many runners will be needed?

  3 runners

Step-by-step explanation:

The number of runners needed is the length of the race divided by the length each runner can run:

  (1/3 mi)/(1/9 mi/runner) = 9/3 runner = 3 runners

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There are a couple of ways you can divide fractions:

  → "invert and multiply." That is, multiply the numerator by the reciprocal of the denominator. Here, that is (1/3)(9/1) = 9/3 = 3

  → make the denominators the same and use the ratio of the numerators. Here that is (1/3)/(1/9) = (3/9)/(1/9) = 3/1 = 3

  → use a calculator (see attached)

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

you are having disney spells!