Answer:
75 gallons
Step-by-step explanation:
Half of 50 gallons is 25 gallons. 25 gallons + 50 gallons = 75 gallons.
Answer:
7 topics will be discussed by the 6 person groups.
Step-by-step explanation:
Let F represents the number of topics discussed by 4 persons group and S represents the number of topics discussed by 6 persons group.
There are total 94 persons
4F + 6S = 94
4F = 94 - 6S
F = (94 - 6S)/4 eq. 1
The discussion has been divided into 20 subtopics
F + S = 20 eq. 2
Substitute eq. 1 into eq. 2
(94 - 6S)/4 + S = 20
(94 - 6S)/4 = 20 - S
94 - 6S = 4(20 - S)
94 - 6S = 80 - 4S
- 6S + 4S = 80 - 94
-2S = - 14
S = 14/2
S = 7
Therefore, 7 topics will be discussed by the 6 person groups.
Bonus:
The number of topics discussed by the 4 person groups can be found by substituting the value of S into eq. 1
F = (94 - 6S)/4
F = (94 - 6*7)/4
F = (94 - 42)/4
F = 52/4
F = 13
Verification:
The sum of F and S should be equal to 20 as per eq. 2
F + S = 20
13 + 7 = 20
20 = 20
Hence, solution is verified.
The sum of the first five terms of the geometric series 8, -24, 72..... is 488 ⇒ answer B
Step-by-step explanation:
In the geometric series:
- There is a constant ratio " r " between each two consecutive terms
- The nth term is , where a is the 1st term
- The sum of nth terms is
∵ 8 , -24 , 72 , ........ is a geometric series
∵
∵ = 8
∵ = -24
∴
∴ r = -3
∵ The sum of the nth terms is
- We need the sum of the first 5 terms, then n is 5
∵ n = 5 , a = 8 , r = -3
- Substitute these values in the rule of the sum
∴
∴
∴
∴
∴
The sum of the first five terms of the geometric series 8, -24, 72..... is 488
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Answer:first one A second one D third A
please give me brianlest and I will answer every question you put
Given that Dan bought a home theater system for $178.99 on the installment plan, and the terms of the contract is such that he will pay $35 in 6 months.
The total amount he paid by the end of the term will be:
amount=(monthly payment)*(number of months)
=35*6
=$210
b] Dan's Finance charge will be given by:
(total amount he paid)-(price of home theater)
=210-178.99
=$31.01