Answer:
x = -3
Step-by-step explanation:
What you do is get x by itself.
1/4(8x - 4) = 5x + 8 <u>Distribute 1/4 to 8x and -4.</u>
2x - 1 = 5x + 8 <u>Subtract 5x on both sides.</u>
-3x -1 = 8 <u>Add -1 to both sides.</u>
-3x = 9 <u>Divide -3 on both sides.</u>
x = -3
Answer:
6042915 balls.
Step-by-step explanation:
Volume of a ping pong ball is;
V = (4/3)πr³
diameter of ping pong ball is given 4cm = 0.04 m
Radius; r = 0.04/2 = 0.02 m
V = (4/3)π(0.02³)
V = 0.00003351032 m³
Room is 9.5 meters long, 7.5 meters wide, and 3 meters high.
Volume; V = 9 × 7.5 × 3 = 202.5 m³
Number of ping pong balls that will fit into the room = volume of room/volume of ping pong balls = 202.5/0.00003351032 = 6042914.540956151
Approximately 6042915 balls.
Answer:
answer is C
Step-by-step explanation:
y intercept = -3
Check the picture below. So the parabola looks more or less like so.
let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.
Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.
Let's just go through all possible answers and see which ones give what you are asking for.
1
the Total number of marbles is 10
You have 2 blue marbles
P(blue) = 2/10 = 1/5 which is not a good answer.
2
There are 3 red marbles.
P(red) = 3/10 = 0.3 which is greater than 1/5 <<<< Possible answer.
3
3 red marbles out of 10 = 3/10
2 blue marbles = 2/9
Probability of (red then blue)= 3/10 * 2/9 = 1/15 which is not greater than 1/5
4
1 white marble replacing it and white again.
1/2 * 1/2 = 1/4 which is greater than 1/5 <<<<<<<< Answer
5
There are 5 white marbles. 5/10 is the probability of drawing a white. P(white) = 1/2. That is greater than 1/5.<<<< Possible Answer
Answers 2,4,5