Missing number in the series 9, 6561, 43046721 is: 81 25 62 31 18 9. One number is 2 more than 3 time another. Their sum is 22. Uncover the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. The missing number in the series 1, 4, 3125 is: 81 35 729 256 115 11. The following number in the series 3, 4, 6, 7, 9, 10 is: 12 11 15 17 13 12. A farmer is planting a right row of plants with 3 feet in between each plant. If 23 are planted, what is the distance between the very first and last plant? 72 66 69 63 75


Alright, lets gain started.

You are watching: The missing number in the series 9, ____, 6561, 43046721 is:

Missing number fom the collection : 9, ..... , 6561, 43046721

43046721 is square that its previous number 6561, method

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It way the missing number will be square that its vault number

Means

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, so absent number is 81. : Answer

Next : one number is 2 more than 3 times another. Their amount is 22. Uncover the numbers.

Suppose one number is x and second number is y

As per given equation, ......equation (1)


Their sum is 22 means, .......equation (2)

Putting the value of x native equation1 into equation 2

*

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Subtracting 2 in both sides

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Means numbers room 17 and also 5. : Answer

Next : the lacking number in the series 1, 4, 27,____, 3125 is

1 could be composed as 1

4 might be composed as

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27 can be created as

*

So , next number would be

*

Next one is

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So, the missing number is 256 : Answer

Next : the following number in the collection 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. If 23 room planted, what is the distance in between the an initial and last plant?

Between 2 plants, the street is =


Between 3 plants, the street is =

*

So, between 23 plants, the distance is =

*

hene the street between very first and critical plant woule be 66 feet. : Answer


1st number = x, 2nd number = yTranslating the concern mathematically that becomes:x-2 = 3y, or to do it easier: x= 3y+2, x+y= 22

Thus:(3y + 2) + y = 22 4y + 2 = 22

Move the 2 top top the other side, transforming its authorize to negative:4y = 22 - 24y = 20

Divide by 4, to achieve only y:4y : 4 = 20 : 4y = 5

To attain x:x= (3*5) + 2= 15+2 = 17

Verify it: 17+5=22


Let the number be x.

Hence the other number is 2 + 3*x.

Their amount is 22;

x + 2 + 3x = 22

4x + 2 = 22

4x = 20


 Therefore, x = 5

< 2 + 3x = 2 + 3*5 = 2+15 = 17 >

Hence the 2 numbers are, 5 and also 17. 


Make a device of equations.

Re-arrange the 2nd equation:

Subtract y come both sides:

Plug in -y + 22 for "x" in the very first equation.

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Subtract 3y come both sides:

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Subtract 22 to both sides:

Divide -4 come both sides:

*

Plug this into any of the 2 equations to discover "x":

Subtract 5 come both sides:

*

So among the numbers is 5 and also one of castle is 17.


One number is x.The various other number is 2 more than 3 time the first number, so it"s 3x+2.The sum of the number is 22.

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The numbers space 5 and 17.


One number is x.The other number is 2 much more than 3 times the an initial number, so it"s 3x+2.The amount of the numbers is 22.

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The numbers are 5 and 17.


This question is asking for the worth of 2 numbers, i beg your pardon we have the right to label as:

#1 = x(Any worth we carry out not know can be stood for with a variable)#2 = 3x + 2("2 more" way + 2, and also "3 times" method multiply by 3. The "another" is the variable we talked about before. Combining whatever we have 3x + 2).

The last piece of details we are offered is that the sum of the 2 numbers is 22. The word sum indicates that we need to add the 2 numbers, and when they added they will equal the integer 22.(x) + (3x + 2) = 22x + 3x + 2 = 22Combine prefer terms4x + 2 = 22Subtract 2 indigenous both sides4x = 20Divide 4 native both sidesx = 5

This single value of "x" currently gives us the value of the an initial number. Because our 2nd number is "3x + 2", every we have to do is plug in the worth of x into the expression.

3x + 2 = 3(5) + 2 = 15 + 2 = 17The 2nd number is 17.

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Final The 2 numbers are 5 and 17.(If you want to check, add the two numbers and make sure they add up come 22 and also multiply 5 through 3 and add 2.)
X + y = 14x = 3y + 2

3y + 2 + y = 144y + 2 = 144y = 14 - 24y = 12y = 12/4y = 3 x = 3(3) + 2x = 9 + 2x = 11 x = 3y + 2

3y + 2 + y = 224y + 2 = 224y = 22 - 24y = 20y = 20/4y = 5

x = 3y + 2 = 3(5) + 2 = 15 + 2 = 17

ur numbers are 5 and 17


X+3x+2=224x=20x=53x+2=17
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