Answer:
3,772 bottles.
Step-by-step explanation:
To find the answer to this question, you want to multiply the two values.
There are 164 shelves and each shelve holds 23 bottles.
164 x 23 = 3,772
So, the shelves can hold a total of 3,772 bottles.
Answer:
see explanation
Step-by-step explanation:
(9m + 4)² - (9m - 4)² ← expand both factors using FOIL
= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1
= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms
= 144m
= 72(2m)
which is divisible by 72 for all m
Answer:
28
Step-by-step explanation:
So its a 50/50 chance for the coin to land on heads or tails, so we would divide 56 by 2
56/2 = 28
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
It is 100 because 10 times 10 = 100.
Area= Length times Width
