Answer:
x = 2
Step-by-step explanation:
Rewrite the equation as 4x - 6 = 2
Move all terms not containing x to the right side of the equation:
Add 6 to both sides of the equation.
4x = 2 + 6
Add 2 and 6.
4x = 8
Divide each term by 4 and simplify.
Divide each term in 4x = 8 by 4.
Reduce the expression by cancelling the common factors.
Divide 8 by 4.
x = 2
Answer:
he has 5/8 sugar left
Step-by-step explanation:
He adds 3/4 cup of sugar to a bowl. He then removes two 1/8 cups of sugar.
Answer:
~6.5 Levels
Step-by-step explanation:
2 levels every hour = 2:1
we take that ratio and multiply it by 3 for starters:
6 and half of our ratio
basically 6.5
Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer:
ab=1/12
Step-by-step explanation:
1/(4ab)+1/(3ab)-1/(2ab)=12
1/(ab)*[1/4+1/3-1/2]=1/12
1/(12ab)=1/12
ab=1
