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kozerog [31]
3 years ago
14

What is the next number to follow 17, 18, 22, 31, 47, ?

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

Answer:

  72

Step-by-step explanation:

First differences are ...

  18 -17 = 1

  22 -18 = 4

  31 -22 = 9

  47 -31 = 16

We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...

  47 +25 = 72

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the sum of the digits of a two-digit number is 14. the first digit is 4 less than twice the second digit. what is the number
Blizzard [7]

Answer:

86

Step-by-step explanation:

t = ten's digit    u= one's digit

t + u = 14            t = 2u - 4

In the first equation substitute for t 2u - 4 that we find in the second equation above.

t + u = 14

2u - 4 + u = 14  Combine the u's

3u - 4 = 14  Now add 14 to both sides

3u = 18  Divide both sides by 3

u = 6.  We found the unit's digit, now we will find the ten's unit by plugging in 6 for u in the first equation above.

t + u = 14

t + 6 = 14  Subtract 6 from both sides

t = 8

So, your answer is 86.

5 0
2 years ago
|x^2+x-1|=1 solve for x
Marizza181 [45]

<span><span>x=<span>−3</span></span><span>x=<span>-3</span></span></span>

Here the steps

<span><span><span>2<span>x+1</span></span>−<span>1<span>x−1</span></span>=<span><span>2x</span><span><span>x2</span>−1</span></span></span><span><span>2<span>x+1</span></span>-<span>1<span>x-1</span></span>=<span><span>2x</span><span><span>x2</span>-1</span></span></span></span>

 <span>x<span>−3</span></span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span>=<span><span>2x</span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span></span><span><span><span>x<span>-3</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>=<span><span>2x</span><span><span>x+1</span><span>x<span>-1</span></span></span></span></span>

<span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>

<span><span><span>x<span>−3</span></span>=<span>2x</span></span><span><span>x<span>-3</span></span>=<span>2x</span></span></span>

<span><span>x=<span>−3</span></span><span>x=<span>-<span>3</span></span></span></span>

<span><span><span><span>So the answer comes out to be x = 3 I hope this was helpful </span></span></span></span>

3 0
4 years ago
PLEASE HELP! SUPER EASY
liubo4ka [24]

Answer:

1.trapezoid

parallelogram

3 0
3 years ago
How do you solve this problem <br> 1/3 *3-3=4
Katarina [22]

This is PEMDAS as well as order of operations and or  parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.

6 0
3 years ago
Read 2 more answers
Express the given product or quotient as a factorial expression. Assume that n &gt; r &gt; 0.
maks197457 [2]
1.) <span>(n+1)n!  = (n+1)!

</span>
<span>2.) (n+8)!/n+8  = (n+8)!/(n+8)
                     =  (n+8)*(n+8-1)! / (n+8)  =  ((n+8)*(n+7)!) / (n+8)
                                     </span><span>Cancel out the (n+8)                         
                     = (n +7)!

</span>
3.) 100 x 99 x 98  = (100 x 99 x 98 x 97!) / (97!)  =  (100!) / (97!).

4. (n-1)(n-2)(n-3)  =  <span>((n-1)(n-2)(n-3)</span>(n-4)!) /(n-4)!
                         =   (n-1)! / (n-4)!.

Cheers. That's it.
3 0
3 years ago
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