8x+4 = 6x-10
To solve for x you'll want to move all the terms containing x onto the left side of the equation and all the other terms on the right side of the equation.
1. Subtract 6x from both sides.
2x+4 = -10
2. Subtract 4 from both sides.
2x = -14
3. Divide both sides by 2.
x = -7
Answer is:
-7
Answer: 2/10 or 20%
Step-by-step explanation:
2 out of 10 digits are greater than 7, so the probability of choosing these is 2/10.
I could be wrong.
Answer:
14.2 years
Step-by-step explanation:
The multiplier of the population each year is 1 +5% = 1.05, so after n years the population has been multiplied by 1.05^n. You want to find the value of n that makes this expression equal to 2:
2 = 1.05^n
log(2) = n·log(1.05) . . . . . take logarithms
log(2)/log(1.05) = n ≈ 14.2
Growing at a rate of 5% per year, it will take about 14.2 years for the population to double.
Answer:
x = 6 and DF = 3*6-3 = 15
Step-by-step explanation:
Given triangles are similar and their side lengths are proportional
the similarity ratio for this pair is 4/8 = 1/2
the length of DF:
(7.5)/(3x - 3) = 1/2 cross multiply expressions
3x - 3 = 15 add 3 to both sides
3x = 18 divide both sides by 2
x = 6 and DF = 3*6-3 = 15
