Six hundred thirty seven thousand eight hundred fifty three
Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8
Assuming your question can be rewritten as:
"What number is 10% greater than 7,962"
7962 * 110% = itself + 10%
= 7962 * 1.10 <----- (1.10 = 110%)
= 8758.2
Step 1: Subtract 13 from both sides.
<span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=<span>13−13</span></span><span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=0</span>
Step 2: Use quadratic formula with a=1, b=6, c=-13.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(6)</span></span>±<span>√<span><span><span>(6)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−13</span>)</span></span></span></span></span><span>2<span>(1)
</span></span></span></span><span>x=<span><span><span>−6</span>±<span>√88</span></span>2
</span></span><span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√22
</span></span></span>Answer would be
<span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√<span>22</span></span></span></span>
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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