Of the 10 marbles in the container, 5 are green. So if Aileen doesn't peek,
her chance of drawing a green marble is 5/10 or 0.5 .
The chance that she will draw a green marble the first time is 0.5 .
The chance that she will draw a green marble the second time is 0.5 .
The probability that she will draw a green marble <u>both</u> times is
(0.5) x (0.5) = <em>0.25 </em> or 25 percent .
<h3>
Answer: Choice D</h3>
Explanation:
To solve for x, aka isolate it, you add 11 to both sides. Then you divide both sides by 2 like so:
The inequality sign stays the same the entire time. It only flips if you divide both sides by a negative number, but that doesn't happen in this case.
I think the answer is 631 tell me if I'm wrong
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
