Evita lives 0.85 mile from her school . write this distance as a fraction in simplest form

Step-by-step explanation:

When we write a terminating decimal as a fraction,

Then we follow the below steps,

Step 1 : Write the number with denominator 1,

Step 2 : multiply numerator and denominator by an exponent of 10 ( like 10, 100, 100 etc ) to eliminate the decimal,

Step 3 : simplify the fraction by dividing both numerator and denominator by the HCF of numerator and denominator,

Here, the given number,

0.85

 ( HCF (85, 100) = 5 )

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:

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.