Mathematics, 18.09.2019 04:10 jazare05

Mei is competing in a remote-control car race. she can complete 15 laps in 24 minutes. find how long it will take mei to finish 20 laps if she keeps the same speed

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Answer from: lemmeboiz43

It will take Mei 32 minutes to finish 20 laps

Step-by-step explanation:

* Lets explain how to solve the problem

- Mei is competing in a remote-control car race

- She can complete 15 laps in 24 minutes

- We need to find how long she will take to finish 20 laps if she keeps

the same speed

∵ Mei can complete 15 laps in 24 minutes

- Lets find her unit rate

∵ Her unit rate = number of laps ÷ the time of this laps

∴ Her unit rate = 15 ÷ 24 = 0.625 lap per minute

- Now we can use her unit rate to find the time of any numbers of laps

∵ She keeps her rate

∵ She will finish 20 laps

∵ Time = number of laps ÷ her rate

∴ Time = 20 ÷ 0.625

∴ Time = 32 minutes

* It will take Mei 32 minutes to finish 20 laps

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

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Mei is competing in a remote-control car race. she can complete 15 laps in 24 minutes. find how long...