Answer:
Billie's age = x = 17 years
Tony's age = y = 31 years
Step-by-step explanation:
Let
Billie's age = x
Tony's age = y
Twice Billie’s age decreased by 3 is Tony’s age.
y = 2x - 3..... Equation 1
Tony is fourteen years older than Billie.
x = y - 14
We substitute y - 14 for x in Equation 1
y = 2x - 3..... Equation 1
y = 2(y - 14) - 3
y = 2y - 28 - 3
y - 2y = -28 - 3
-y = -31
y = 31 years
Solving for x
x = y - 14
x = 31 - 14
x = 17 years.
Therefore:
Billie's age = x = 17 years
Tony's age = y = 31 years
Answer:
(b) 
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:

In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:

We want to know the probability of obtaining a white ball in both urns. This is: P(
and
)
As the events are independent:
P(
and
) = P (
) * P (
)
P(
and
) = 
P(
and
) = 
Finally the correct option is (b) 
Answer:
3x-x+2=4 :)
Step-by-step explanation:
Hope this helped! :3
Second answer box, try that
Answer:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches
Step-by-step explanation:
The volume for a right circular cone is given by this formula:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches