An arithmetic sequence formula:
aₙ = a₁ + (n - 1) · r
We know that:
a₁ = 6
r = 17
So the formula of our sequence is:
aₙ = 6 + (n - 1) · 17
Now we can find the 18th term:
a₁₈ = 6 + (18 - 1) · 17
a₁₈ = 6 + 17 · 17
a₁₈ = 6 + 289
<h2>a₁₈ = 295</h2>
Step-by-step explanation:
-4 is answer to this problem
Given: 11-pound mixture of peanuts, almonds, and raisins
Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound
mixture:
twice as many peanuts as almond; total cost of mixture is 21.
a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a
1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3
almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs
<span>My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins </span>
Answer:
5.88
Step-by-step explanation:
5+4=9
53 divided by 9=5.88
Answer:
110 ft³ of water
Step-by-step explanation:
Use the prism volume formula, V = Bh, where B is the area of the base and h is the height.
Plug in the area of the base and height, and solve for V:
V = Bh
V = (22)(5)
V = 110
So, the volume is 110 ft³
There is 110 ft³ of water in the tank