Proportions are very simple once you get the hang of them! What you do is cross multiple. :)
1. x/8=5/16
You first start by multiplying x and 16
Then multiply 5 and 8
So now you have 16x=40
Finally divide 16 from each side
You get: x+0.4!
2. 5/12=15/x
Remember to cross-multiply!
Now we have 5x=180
Next divide 5 from each side
You get: x=36!
Answer:
=125
Step-by-step explanation:
5−7)(512)(5−2)
=
1
78125
(512)(5−2)
=
1
78125
(512)(5−2)
=(
1
78125
(244140625))(5−2)
=3125(5−2)
=3125(
1
25
)
=125
<h3>
Answer: 45/121</h3>
=========================================
Work Shown:
2 blue, 4 red, 5 green
2+4+5 = 11 total
P(blue) = probability of getting one blue marble
P(blue) = (number of blue)/(number total)
P(blue) = 2/11
A = P(2 blue) = (2/11)*(2/11) = 4/121
P(red) = 4/11
B = P(2 red) = (4/11)*(4/11) = 16/121
P(green) = 5/11
C = P(2 green) = (5/11)*(5/11) = 25/121
Add the values of A,B, and C to get the probability of getting two of the same color
A+B+C = 4/121+16/121+25/121 = 45/121
This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening
Side note: we can add A,B, and C because they are mutually exclusive events.
Three is another name for 3
Volume of a cone is equal to pi * r^2 * h/3.
In this case:
pi * 6^2 * 9/3
pi * 36 * 3
108pi
Answer: 339.3
