Answer:
5 marbles
Step-by-step explanation:
A bag contains
8 white marbles
6 red marbles
4 blue marbles.
Total number of marbles is :
8 + 6 + 4
= 18 marbles
Based on this current proportion
The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles
In order for the Probability of choosing a blue marble to be 1/2
The number of blue marbles has to be:
= 18 marbles × 1/2
= 9 blue marbles
From the question we have 4 blue marbles, hence:
9 blue marbles - 4 blue marbles
= 5 blue marbles
Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.
Answer:
24
Step-by-step explanation:
Solve for x over the real numbers:
x^3 (x^2 - 4) = 0
Split into two equations:
x^3 = 0 or x^2 - 4 = 0
Take cube roots of both sides:
x = 0 or x^2 - 4 = 0
Add 4 to both sides:
x = 0 or x^2 = 4
Take the square root of both sides:
Answer: x = 0 or x = 2 or x = -2
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
Answer:
$148.75
Step-by-step explanation:
$175 · 15% = $26.25
$175 - $26.25 = $148.75
