Answer:
-2
Step-by-step explanation:
Let x be the unknown value
Log₆ ( 1/36) = x
( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²
Log₆ ( 1/36) = Log₆
6⁻² = -2 Log₆
6
Log₆
6 = 1
-2 Log₆
6 = -2(1) = -2
Answer:
youngest=115
middle=150
elder=230
Step-by-step explanation:
let the youngest be x
the middle will be x+35
the oldest will be 2x
x+x+35+2x=495
4x+35=495
4x=495-35
4x=460
x=115
since the youngest is x,the money he will receive is $115.
the middle will be x+35 which is equal to 115+35=$150.
lastly the oldest will be 2x which is equal to 2×115=$230.
3 hours and 45 minutes
The equation can be solves by adding their two efforts together in a ration equation. See below.
5/x + 15/x = 1
Then give them common denominators and add and solve.
X=70 because you have to convert the decimals to fractions so that the .35 equals 7/20 and .45 equals 9/20 then simplify the complex fractions on each side so 7/20 over 2X/3 equals 21/40X and the 9/20 over the X-10 equals 9/20(X-10), then cross multiply to get 420 (X-10)= 320X, next you would distribute the 420 through the parenthesis to get 420X-4200=360X, then add 4200 to both sides so 420X on its own then add 360X on both sides so both X's are on the same side then combine like terms and get 60X on the left, then divide both sides by 60 so X is on its own so X=70