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2 years ago

A turtle walks 1/2 miles in 50 minutes. What is the turtle's walking speed in miles per hour?

Mathematics

1 answer:

katovenus [111]2 years ago

3 0

Answer:

0.6 mile per hour

Step-by-step explanation:

Set up a proportion

1/2 miles 60 minutes 30 miles

-------------- x --------------- = --------------

50 minutes 1 hour 50 hours

0.6 mile per hour

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Emily has 300 books. if frank were to double the number of books that he now owns, he would still have fewer than Emily has

Alex_Xolod [135]

This statement is false.
If he were to double the amount that Emily has to get franks, franks would have more.
Look :)
Emily's = 300
Frank's = 300 x 2 = 600

now...
Emily's = 300
Frank's = 600

So frank has more! NOT fewer.

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In the given figure we can determine the coordinate of point M from the graph, we get:

$M=(\frac{d}{2},\frac{c}{2})$

We can also determine the coordinates of point N as:

$N=(\frac{a+b}{2},\frac{c}{2})$

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

$MN=\frac{a+b}{2}-\frac{d}{2}$

Subtracting the fractions we get:

$MN=\frac{a+b-d}{2}$

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

$A=(0,0)$

The coordinates of B are:

$B=(a,0)$

Therefore, the length of segment AB is:

$AB=a$

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

$C=(b,c)$

The coordinates of D are:

$D=(d,c)$

Therefore, CD is:

$CD=b-d$

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

$MN=\frac{1}{2}(a+b-d)$

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

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