Izzy runs on the schools track team. She runs 4 3/5 miles in 2/3 hour. What is Izzy's speed in miles per hour?

With fractions its very easy to get 1 as a whole numer (Which is what were trying to find. ONE miles o we know how much is per hour (one hour)). All you need to do is multiply the 2/3 hour by 3/2. The numers switched. You do this with both variables, the 3/5 miles and the 2/3 hour. After this the hour variable should have turned into a 1 if done correctly. Then we multilly the miles variable by 3/2. when done correctly we get the answer of 6 9/10 miles.

After you've done this, you then know your answer. every 1 hour Izzy runs 6 9/10 miles.

Another way of saying this is Izzy runs 6.9 miles an hour or 6.9mph.

Hope this helped. please consider making this the brainliest answer as Im trying my hardest to provide you with the correct answer! Happy day!!

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i