Answer:
the 73rd term of the arithmetic sequence is -964.
Step-by-step explanation:
The common difference in this arithmetic sequence is 13. This is obtained by subtracting 28 from 41. The first term is a(1) = -28.
The arithmetic sequence formula is a(n) = a(1) + d(n - 1), where d is the common difference and -28 the first term.
Then, in this case, a(n) = -28 - 13(n - 1), and
a(73) = -28 - 13(73 - 1) = -964
Answer:
D. 26
Explanation:
10% = 6.5
6.5 x 4 = 26
We can begin by rewriting the problem:
4(2x + 5) + 2x + 3 = -11
Let’s solve in steps.
1. Distribute
8x + 20 + 2x + 3 = -11
2. Combine like terms
10x + 23 = -11
3. Subtract 23 from both sides
10x + (23 - 23) = -11 - 23
10x = -34
4. Divide both sides by 10
10 / 10 = 1 (or x)
-34 / 10 = -3.4
Therefore, x = -3.4.
Answer:
Step-by-step explanation:
First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.
There are 4 ace in the deck
There are 16 cards of 10 points in the deck
To make this calculation we use the formula of combinations
Where n is the total number of letters and r are chosen from them
The number of ways to choose 1 As is:
The number of ways to choose a 10-point letter is:
Therefore, the number of ways to choose an Ace and a 10-point card is:
Now the number of ways to choose any 2 cards from a deck of 52 cards is:
Therefore, the probability of obtaining an "blackjack" is:
Answer: 21, 23, 25
Step-by-step explanation:
Let the integers be y, y+2 and y+4.
From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:
y + 4(y+4) = 121
y + 4y + 16 = 121
5y + 16 = 121
5y = 121-16
5y = 105
y = 105/5
y = 21
Since y = 21,
y + 2 = 21 + 2 = 23
y + 4 = 21 + 4 = 25
The integers are 21,23 and 25
