Use the number line to find 3/4 × 2/5. label all the parts above and below.
question number 10
(picture included)

3/4 × 2/5 = 3/10

Step-by-step explanation:

3/4 × 2/5 is equivalent to 3/4 of 2/5

First, you have to divide the number line in 5 parts, and locate 2/5 (see figure attached)

Next, you have to divide in 4 parts the segment that represents 2/5, and locate 3/4 of 2/5

If you continue dividing the whole line with the previous segment length, you will divide the whole line into 10 parts.

Then, 3/4 of 2/5 is 3/10.

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:

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: