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Murrr4er [49]
3 years ago
11

3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

15

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

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HELP PLEASE!!! Thanks!
Irina18 [472]

Answer:

2) \frac{\sqrt{77}}{11}

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Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

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For rationalising the denominator multiply both numerator and denominator by √11,

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3 years ago
The perimeter of this rectangle is 156 cm.
erastova [34]

Answer:

x = 15

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Step-by-step explanation:

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Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

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x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

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3 years ago
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A, C, D are the correct answers.

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3 years ago
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