Mathematics, 16.10.2019 02:00 itz64

Aturtle can walk 1/12 of a kilometer in an hour. the turtle is 1/5 of a kilometer away from the pond. at this speed, how long will it take the turtle to reach the pond

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Answer from: drainy0uandthefish

Answer :

Turtle will require $\frac{12}{5}$ that is 2.4 hrs to reach the pond.

Solution:

Given that

A turtle can walk $\frac{1}{12}$ km in an hour.

So speed of turtle = $\frac{1}{12}$ kmph

Turtle is $\frac{1}{5}$ of a kilometer away from pond.

So distance turtle need to cover to reach the pond = $\frac{1}{5}$ km

We need to calculate time required by turtle to reach the pond.

As time = $\frac{distance}{speed}$

So time required to cover $\frac{1}{5}$ km at speed of $\frac{1}{12}$ kilometer per hour is as follows

Time required = ( $\frac{1}{5}$ ) divided by $\frac{1}{12}$ = $\frac{12}{5}$ = 2.4 hours.

Hence turtle will require 12/5 that is 2.4 hrs to reach the pond

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

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Aturtle can walk 1/12 of a kilometer in an hour. the turtle is 1/5 of a kilometer away from the pond...

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