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

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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

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

Means

, 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

Subtracting 2 in both sides

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

27 can be created as

So , next number would be

Next one is

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.

Subtract 3y come both sides:

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.

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.

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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