For the arithmetic sequence
a₁, a₂, a₃, ...,
the n-th term is
where d = the common difference
Because a₅ = 12.4,
a₁ + 4d = 12.4 (1)
Because a₉ = 22.4,
a₁ + 8d = 22.4 (2)
Subtract (1) from (2).
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
d = 2.5
From (1),
a₁ = 12.4 - 4*2.5 = 2.4
Therefore
a₃₁ = 2.4 + 30*2.5 = 77.4
Answer: a₃₁ = 77.4
Answer:
Malcolm can fill about 8 bags with rice. But exactly 8.4
If the backpack (b) contains only textbooks (t) and notebooks (n), the total weight of the backpack is:
b+t+n
but notebooks are 4 pounds, so actually:
b+t+4
also, the backpack weights 2 pounds, so the total weight is:
2+t+4 =t+6
now, "Seventy percent of
<span>
the total weight is textbooks. ", this means that
t=70%(t+6) - this equation can be used to determine the weight of the textbooks!
</span>
Probability for male = 75/400 = 3/16
Probability for groups = 175/400 = 7/16
Probability for female = 150/400 = 3/8
There is a 3/8 probability of the song being sung by a female vocalist.
⭐ Please consider brainliest! ⭐
✉️ If any further questions, inbox me! ✉️
Answer:
Number of Cucumbers = 12
Number of Tomatoes = 4
Step-by-step explanation:
Let number of cucumber be c and number of tomatoes be t
Since he has room for 16 plants, we can write:
c + t = 16
He wants to plant 3 times as many cucumbers as tomatoes. We can write:
c = 3t
We can substitute this in 1st equation and solve for t:
c + t = 16
3t + t = 16
4t = 16
t = 16/4 = 4
And c = 3t
c = 3(4) = 12
Number of Cucumbers = 12
Number of Tomatoes = 4
