if we do not consider Aces face cards
there are 12 face cards in a deck ( 4 jacks 4 queens 4 kings)
there are 52 cards
drawing the first card
12/52
second card without replacement
11/51
12/52*11/51
1/4 *11/51
11/204
Calculating the unit rate is not that problematic if you can understand the requirement. Using the details given the answer to the question can be easily determined.
Number of miles that it goes in 22 gallons = 346
Then
Number of miles that it goes in 1 gallon = (346/22) miles
= 15.73 miles
So
The unit rate to this equation is 15.73 miles per gallon. I hope the procedure is clear enough for you to understand.You can always use this procedure for solving similar problems in future.
Answer:
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Step-by-step explanation:
Let x liters be the amount of 20% solution and y liters be the amount of 50% solution Tasha takes.
1. Tasha needs 75 liters of a 40% solution of alcohol. Then
x + y = 75
2. There are
- liters of alcohol in x l of 20% solution
- liters of alcohol in 50% solution
- liters of alcohol in 75 liters of 40% solution
In total, of alcohol that is 30 l, so
0.2x + 0.5y = 30
3. Solve the system of two equations:
From the first equation:
Substitute it into the second equation
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°