<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and
inches long
<em><u>The scale of floor plan is given as:</u></em>

Therefore,

To find: Actual length of floor
From given question,

Converting the mixed fraction to improper fraction,

Since, 1 inch = 4 foot

Thus actual length of Hector room is 14 foot
6<span>√2 is already in it's simplest form as a radical.
</span>
Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
Consider the attached tree.
You start from the root, and with each level you create a sub-branch for each of the choices you have.
So, the root has two children, white and multigrain bread.
Each of those children has three children, because you have three meat choices
Each of those children has two children, because you have two cheese choices.
Then, you identify all the sandwiches by choosing a leaf, and read the label that lead you there.
For example, leaf number 4 represents a sandwich with white bread, turkey and provolone.
Answer:
81/70
Step-by-step explanation:
5/14+4/5=25/70+56/70=81/70