Javon is helping his dad build a treehouse. He has a piece of trim that 13 feet long. How many pieces can Javon cut that are 1 yard long? How much of a yard will he have left over?

4 pieces

0.33 yard or 1/3 of a yard

Step-by-step explanation:

In this question, we are asked to calculate the number of pieces that can be cut by Jason from a piece of trim with each cut having a certain length and also the number in yards he would have left.

Now, looking at this question, we can see that what we have is a conversion problem. We have to make sure the units we have in both cases tally before we proceed to provide a solution to this problem.

Now to provide a better understanding, it would be good if we can convert the length in yards to feet.

Mathematically, it is known that it is possible to convert directly from yard to feet. To convert between this two length-wise units, what we need do is to simply multiply the length in yard by 3 to make a conversion to feet.

This means what we are saying is that 1yard = 3 feet.

Now, we can rephrase the question to make it look like how many 3 feet can we get from a piece of 13 feet length? This is equal to 13/3 = 4 remainder 1

We can get 4 pieces, remainder 1 feet length. But the question asks how much of a yard will be left over. This is mathematically equal to converting the left over length in feet to yard.

So to do this, we simply divide 1 by 3 to give an amount of 0.333 yard

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!