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Dafna11 [192]
3 years ago
6

Problem The sum of 5 consecutive even numbers is 310 What is the third number in this sequence?

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
Choose x to represent the 1st number in the sequence.
The 2nd is x+2.
The 3rd is x+4
The 4th is x+6, and
The 5th is x+8

The sum of these 5 numbers is 5x + 2 + 4 + 6 + 8 = 310

Thus, 5x = 310 - (2+4+6+8)        or    5x = 310 - 20.     5x = 290

Then x comes out to be 58.

the 2nd number is 58+2 = 60.

The 3rd number is 60 + 2 = 62.   This is the answer.
Goshia [24]3 years ago
4 0
The third  number in this sequence that adds to 3120 is 62
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The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.

<h3>How to determine the relationship?</h3>

From the question, we have:

Andrea = h

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Hannah = 3 * Andrea

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2 years ago
15 is 30% of what number?
Kisachek [45]
0.5 times 100 = 50... 50 is your answer
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3 years ago
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Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

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\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}

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