A punter's first four punts in a football game are 30 yds, 20 yds, 27 yds, and 29 yds. After a fifth punt, the punter's mean was 30 yards. How long was the fifth punt?

Please help!

solve for x, the length of the fifth punt

(30+20+27+29+x)/5 = 30

Thanks!! :)

To find the length of the fifth punt, we can use the formula for calculating the mean, which is the total sum divided by the number of observations.

Let's calculate the total sum of the first four punts:
30 yards + 20 yards + 27 yards + 29 yards = 106 yards

Now, since the mean after the fifth punt was 30 yards, we can set up the equation:
(106 yards + the length of the fifth punt) / 5 = 30 yards

Next, let's solve the equation for the length of the fifth punt:
106 yards + the length of the fifth punt = 150 yards
Subtracting 106 yards from both sides, we get:
the length of the fifth punt = 150 yards - 106 yards
the length of the fifth punt = 44 yards

So, the length of the fifth punt was 44 yards.

To find the length of the fifth punt, we can start by finding the sum of the lengths of the first four punts.

The sum of the lengths of the first four punts can be calculated by adding 30 yards + 20 yards + 27 yards +29 yards, which equals 106 yards.

Next, we need to find the total sum of all five punts. We know that the mean (average) of the five punts is 30 yards, and the sum of the first four punts is 106 yards.

To find the sum of all five punts, we can multiply the mean (30 yards) by the total number of punts (5), which gives us 150 yards.

Now, to find the length of the fifth punt, we can subtract the sum of the first four punts (106 yards) from the total sum of all five punts (150 yards).

So, 150 yards - 106 yards = 44 yards.

Therefore, the length of the fifth punt was 44 yards.