Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b
The answer is in the photo
Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone= 
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)= 
∴ Area of circle (B)= 
Finding slant height (l)
Formula; 
⇒l = 
∴ l= 
Next, using the formula for finding surface area of cone.
Surface area of cone= 
⇒ Surface area of cone= 
∴ Surface area of cone= 90π cm²
50, 6 makes the 4 go up, and you just leave the decimal numbers be
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.
