How to find missing number.,(180,14) (120,8) (?,4) (220,18)
Write these pairs from largest to smallest.
120 , 8
180 , 14
220 , 18
Assume these are the coordinates of a straight line with gradient m.
For the first and secong pair differences betwen coordinates are:
x2 - x1 = 180 - 120 = 60
y2 - y1 = 14 - 8 = 6
m = ( y2 - y1 ) / ( x2 - x1 ) = 6 / 60 = 1 / 10
For the third and fourth pair differences betwen coordinates are:
x3 - x2 = 220 - 180 = 40
y3 - y2 = 18 - 14 = 4
m = ( y3 - y2 ) / ( x3 - x2 ) = 4 / 40 = 1 / 10
You can see, for both pairs the gradients are the same and it is a straigth line with a gradient:
m = 1 /10
Vrite equation of straigth line in slooe-intecept form.
y = m x + b
In this case:
y = 1 / 10 x + b
Take any pair of points, for example the first to calculate b.
x = 120 , y = 8
y = 1 / 10 x + b
8 = 1 / 10 • 120 + b
8 = 12 + b
Subtract 12 to both sides
8 - 12 = b
- 4 = b
b = - 4
Equation of line is:
y = 1 / 10 x - 4
For missin pair y = 4
y = 1 / 10 x - 4
4 = 1 / 10 x - 4
Add 4 to bith sides.
8 = 1 / 10 x
Multiply both sides by 10
80 = x
x = 80
So missing number is 80
42
To find the missing number in the sequence (180, 14), (120, 8), (?, 4), (220, 18), you can follow these steps:
Step 1: Identify the pattern between the given numbers in each pair.
In this case, it appears that the first number in each pair is decreasing by a certain amount, while the second number in each pair is decreasing by a different amount.
Step 2: Determine the difference between the first numbers in the pairs.
Between the first and second pair, the difference is 60 (180 - 120). Between the second and third pair, the difference is unknown (we are trying to find it).
Step 3: Determine the difference between the second numbers in the pairs.
Between the first and second pair, the difference is 6 (14 - 8). Between the third and fourth pair, the difference is 14 (18 - 4).
Step 4: Use the pattern to find the missing number.
Since the difference between the second numbers in the pairs is increasing by 8 (14 - 6), we can assume that the missing difference is 22 (14 + 8). Thus, the missing number in the third pair is 142 (120 + 22).
So, the missing number is 142.
To find the missing number in the sequence (180,14) (120,8) (?,4) (220,18), we need to identify the pattern that is present in the given sequence.
Looking at the numbers, we can observe that the second number in each pair is obtained by dividing the first number by a certain value:
14 = 180 / 8
8 = 120 / 15
4 = ? / 18
18 = 220 / 12
To find the missing number, we need to employ the same division pattern. So, we can set up an equation as follows:
? / 18 = 4
To solve for the missing number, we multiply both sides of the equation by 18:
? = 4 * 18
? = 72
Therefore, the missing number in the sequence is 72.