Missing number in the collection 9, 6561, 43046721 is: 81 25 62 31 18 9. One number is 2 more than 3 times another. Their sum is 22. Discover the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. The missing number in the collection 1, 4, 3125 is: 81 35 729 256 115 11. The next number in the collection 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 between each plant. If 23 are planted, what is the distance in between the an initial and critical plant? 72 66 69 63 75

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You are watching: The missing number in the series 9 6561

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

43046721 is square of its previous number 6561, way

It way the missing number will certainly be square that its ahead number

Means

, so lacking 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 2nd number is y

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

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

Putting the worth of x indigenous equation1 right into equation 2

Subtracting 2 in both sides

Means numbers space 17 and 5. : Answer

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

1 might be created as 1

4 can be composed as

27 could be created as

So , following number would certainly be

Next one is

So, the missing number is 256 : Answer

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

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

So, following number will be 12. : Answer

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

Between 2 plants, the street is =

Between 3 plants, the distance is =

So, in between 23 plants, the distance is =

hene the street between an initial and last plant woule be 66 feet. : Answer

1st number = x, second number = yTranslating the inquiry 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 ~ above the various other side, changing its sign to negative:4y = 22 - 24y = 20

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

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

Verify it: 17+5=22

Let the number it is in x.

Hence the various other number is 2 + 3*x.

Their sum 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 mechanism of equations.

Re-arrange the 2nd equation:

Subtract y to both sides:

Plug in -y + 22 because that "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 kind of of the 2 equations to discover "x":

Subtract 5 to both sides:

So among the number is 5 and one of castle is 17.

One number is x.The various other number is 2 more than 3 times the an initial number, for this reason it"s 3x+2.The sum of the numbers is 22.

The numbers space 5 and also 17.

One number is x.The various other number is 2 much more than 3 time the an initial number, therefore it"s 3x+2.The sum of the number is 22.

The numbers room 5 and also 17.

This inquiry is questioning for the worth of 2 numbers, which we deserve to label as:

#1 = x(Any value we carry out not know deserve to be represented with a variable)#2 = 3x + 2("2 more" means + 2, and "3 times" method multiply through 3. The "another" is the variable us talked around before. Combining everything we have actually 3x + 2).

The last item of information we are given is that the sum of the two numbers is 22. Words sum indicates that we require to add the 2 numbers, and also when they included they will certainly equal the integer 22.(x) + (3x + 2) = 22x + 3x + 2 = 22Combine favor terms4x + 2 = 22Subtract 2 indigenous both sides4x = 20Divide 4 from both sidesx = 5

This sole value of "x" already gives united state the worth of the first number. Since our 2nd number is "3x + 2", all we need to do is plug in the value of x into the expression.

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

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Final The two numbers are 5 and 17.(If you desire to check, include the two numbers and also make certain they include up come 22 and also multiply 5 by 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 also 17

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

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