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Georgia [21]
3 years ago
10

What is the value of x in the a.p x+1,2x-1 and x+5

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is

2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides

2x - 1 - x - 1 = x + 5 - 2x + 1, that is

x - 2 = - x + 6 ( add x to both sides )

2x - 2 = 6 ( add 2 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

The 3 terms are 5, 7, 9

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What is the greatest common divisor of 33489, 3948, and 3949
storchak [24]

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3 0
2 years ago
Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
Dafna1 [17]

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.

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Step-by-step explanation:

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