Step-by-step explanation:
add all marbles together:
4 (green) + 3 (red) + 3 (yellow) = 10 marbles total
if we pick a yellow marble out of the bag and do not replace it, then we have 2 yellow marbles left.
we need to add marbles again with one yellow marble subtracted.
4 (green) + 3 (red) + 2 (yellow) =
new Total is 9 marbles.
so then we have 2 yellow marbles out of 9 total marbles.
2:9
or 2/9
or .22 (22%)
is the probability
(g/f)(x)= g(x)/f(x) =
= (x² - 6) /(3x +1)
3x+1≠0
3x≠-1
x≠ - 1/3
(g/f)(x)= (x² - 6) /(3x +1), when x≠ - 1/3
Answer: A.
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
