Answer:
r, p, q
Step-by-step explanation:
Answer:
r = 3.75
Step-by-step explanation:
Using Pythagoras' identity in the right triangle ABC
AC² = BC² + AB²
(r + 6)² = r² + 9²
r² + 12r + 36 = r² + 81 ( subtract r² from both sides )
12r + 36 = 81 ( subtract 36 from both sides )
12r = 45 ( divide both sides by 12 )
r = 3.75
Either a or c, don't know which one for sure
For Times Square magnets, we have that the price of each magnet is 2 dollars / magnet, there are 4 magnets / set, and Tom buys 12 sets. For Statue of Liberty magnets, the price is 3 dollars / magnet, there are 5 magnets / set, and Tom buys 12 sets
We can make a table of these values:
Magnets Price ($$/magnets) Set Size (magnets/set) Quantity (sets)
T.S. 2 4 12
S. of L. 3 5 12
Now, we can use the formula
Total Cost = Number of Magnets Bought * Price = (Quantity * Set Size) * Price
So we see that
Cost of T.S. magnets = Quantity * Set Size * Price
= 12 sets * 4 magnets * 2 dollars = $96
set magnet
Cost of S. of L. magnets = Quantity * Set Size * Price
= 12 sets * 5 magnets * 3 dollars = $180
set magnet
So the total amount spent was $96 + $180 = $276.