Answer: v = 2
Step-by-step explanation:
30-48v+12 = -54
-48v = -54-30-12
= 
v = 2
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
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<h3>Solution</h3>
aₙ = a₁ + (n-1)d
- a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
- a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22
8a₈ = 12a₁₂
- 8(a₁ - 14) = 12(a₁ - 22)
- 2(a₁ - 14) = 3(a₁ - 22)
- 2a₁ - 28 = 3a₁ - 66
- 3a₁ - 2a₁ = -28 + 66
- a₁ = 38
Answer:
- The equation 2n = p should be 2p = n.
- The actual cost of the onions is $3.00 per pound.
- Potatoes cost $1.50 per pound.
Step-by-step explanation:
The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...
2p = n
Then the solution is ...
6p +3(2p) = 18
12p = 18
p = 18/12 = 1.50
n = 2p = 2(1.50) = 3.00
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The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
-7 + 4(n-1). Use this and plug in 10 for n, making it
-7 + 4(9)
-7+36
29
