12, 106, 42
hope this helps!
Answer:
84
Step-by-step explanation:
The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.
To find the LCD, express each number as factors of itself as follows:
Find the product of the highest terms
The product = LCD = 
LCD of 7, 6, 12 = 84
Answer:
around 2.5 - 3 hours
Step-by-step explanation:
9514 1404 393
Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
Answer:
3 : 4 = 12 : 6
2 : 5 = 30 : 75
7 : 9 = 14 : 18
8 : 3 = 64 : 24
Step-by-step explanation:
3 : 4 = 12 : ?
3/4 = 12/?
3 x ? = 12 x 4
3 x ? = 48
? = 48 ÷ 3 = 16
2 : 5 = 30 : ?
2/5 = 30/?
2 x ? = 30 x 5
2 x ? = 150
? = 150 ÷ 2
? = 75
7 : 9 = ? : 18
7/9 = ?/18
7 x 18 = ? x 9
126 = ? x 9
? = 126 ÷ 9
? = 14
8 : 3 = 64 : ?
8/3 = 64/?
8 x ? = 64 x 3
8 x ? = 192
? = 192 ÷ 8
? = 24
