" 35% " means " 0.35 ".
" of " in math almost always means " times ".
So the problem is: (0.35) x (60)
You can easily do that with a pencil or a calculator.
Answer:
D) 7
Step-by-step explanation:
Let y = number of yellow marbles in the bag
For the first marble
P(yellow) = number of yellow marbles over total
=y/12
For the second draw, there are y-1 yellow marbles in the bag, and only 11 marbles left since we keep the first marble
P(2nd marble yellow) = (y-1)/11
The probability that the first and second marble are yellow when we keep the first marble is
y/12 * (y-1)/11 = 5/33
y * (y-1) 5
---------- = ----------
121 33
We can use cross products to solve
33 y(y-1) = 660
Divide each side by 33
y(y-1) = 660/33
y(y-1) = 20
Distribute
y^2 -y =20
Subtract 20
y^2 -y -20 =0
Factor
(y-5)(y+4) =0
Using the zero product property
y = 5 or y = -4
Since we cant have negative marbles
We have 5 yellow marbles
Since there are 12 marbles
12-5 =7
There are 7 green marbles
The answer is 6x^2 - x - 6
The work is shown in the attached picture.
For step 3 in the work, first carry the first coefficient down, then multiply it by the divisor. So in the first column, 6 * 8 = 48. The 48 goes below the second coefficient, and so on.
Hope this helps :) <span />
That is the first one I am doing the second one right now just give me a minute or two
If two chords of a circle are congruent, then their intercepted arcs are congruent ⇒ <span>CO≅HZ</span>