Answer:
<h2>y = 2</h2>
Step-by-step explanation:
Put x = -13 to the equation -3x + 9y = 57
(-3)(-13) + 9y = 57
39 + 9y = 57 <em>subtract 39 from both sides</em>
9y = 18 <em>divide both sides by 9</em>
y = 2
The answer is 47. Just keep adding 4.
Answer:
The number of ways to select 2 cards from 52 cards without replacement is 1326.
The number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Step-by-step explanation:
Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and irrespective of the order.

Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.

In this case we need to select two different cards from a pack of 52 cards.
- Two cards are selected without replacement:
Compute the number of ways to select 2 cards from 52 cards without replacement as follows:



Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.
- Two cards are selected and the order matters.
Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:




Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.
The base of the cylinder is a circle in which the area is calculated through the equation,
A = πr²
We are given that area is 25π in². From this and the equation above, the value of r is equal to 5 in. Using this calculated value as the height, the volume of the cylinder is,
V = Bh
where B is area of the base and h is height.
V = (25π in²)(5 in) = 125π in³
or also equal to,
V = 392.7 in
Answer:b -2
Step-by-step explanation:
8t + 5 = 6t + 1 subtract 1 from both sides
8t + 4 = 6t subtract 8t from both sides
4 = -2t divide -2 from both sides
-2 = t
Have a nice day :)