Answer:
525
If you want exactly one ace, then your answer is correct. (525) is the number of 5-card hands in the deck, and you have 4 choices for which ace to include (hence, (41)), and 48 choose 4 choices for the other 4 cards (hence, (484)).
Answer:
x=12.5
Step-by-step explanation:
The given triangle is a right angle triangle.
We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.
As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.
So,
cos θ= base/hypotenuse
cos 28=11/x
x=11/cos28
x=11/0.8829
x=12.45
Rounding off to nearest 10
x=12.5
First thing you need to realise is that x/y multiplied by something is the same as x multiplied by that something, ALL divided by y
from here we can think of this as 3(2x-1) all over 5 = 1(5x-3) all over 4,
now we can start by expanding the left side, so it will equal 6x-3 all over 5 = 5x-3 all over 4
Now multiplying both sides by 5 to get rid of the divided by 5 on the left hand....
6x-3 = 25x-15 all over 4
We then multiply both sides by 4 to eliminate the divided by 4 on the right hand side....
We get 24x-12=25x-15
Now subtract 25x from both sides....
-1x = -3
Therefore diving both sides by -1 we get x=3
Kate's situation is correct because she put 2 muffins each in 7 boxes, which is saying 7 x 2. If you multiply these factors together, you will get 14 muffins; which is the amount that Kate started with.