Answer:
A is (0,4) and B is no solution
Step-by-step explanation:
The lines both intercept at the point (0,4) on the graph while the lines in B won't ever intercept
Solution for what is 150% of 40 40/x=100/150 (40/x)*x=(100/150)*x - we multiply both sides of the equation by x 40=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x 40/0.666666666667=x 60=x x=60 now we have: 150% of 40=60
<u>Given</u>:
Given that in a game a player draws and replaces a card from a deck 2 times.
The possible outcomes and payouts are given.
We need to determine the expected value for someone playing the game.
<u>Expected value:</u>
The expected value for someone playing the game can be determined by

Simplifying the values, we have;

Dividing the terms, we get;

Adding, we have;

Thus, the expected value for someone playing the game is $8
Answer:

Step-by-step explanation:
Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

Answer:
Aircraft carrier speed = 4.97 km/h
Step-by-step explanation:
Given that the time taken by the aircraft = 5 hours
Let the distance covered = X
Speed = V
Time taken by the ship = 7 hours
Let the distance covered = Y
Speed = 8V
Since it is 8 km/h faster than the aircraft carrier.
Using the speed formula
Speed = distance/time
Distance = speed × time
For the aircraft;
X = 5V
For the ship:
Y = 7 × 8V = 56V
Since they are 303km distance apart,
X + Y = 303
5V + 56V = 303
61V = 303
V = 303/61
V = 4.97 km/h
Aircraft carrier speed = 4.97 km/h