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Nat2105 [25]
3 years ago
15

Find the 91st term of the arithmetic sequence 4,6,8

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

184

Step-by-step explanation:

Find the common difference first   d = 6 - 4 = 2

first term  a_1  = 4

a_n = (n -1)*d + a_1

a_91 = (91 - 1) * 2 + 4

a_91  is the 91st term:

a_91 = 90*2 + 4

a_91 = 180 + 4 = 184

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Simplify this expression: 4(x+3)+3(5-x)
prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

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At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba
Ksenya-84 [330]
Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as: 

3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

9c + 5b = 23.56   (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

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c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
3 0
4 years ago
In the phone above^
Taya2010 [7]

Answer:

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