Yohanna is conditioning all summer to be fit for the next soccer season at his high school. he incorporated walking planks into his daily workout regime. each day, he will complete 4 more walking planks than the day before. if he starts with 5 walking planks on the first day, how many walking planks will he do on the twelfth day?

The correct answer is 49.

Explanation:
This can be represented as an arithmetic sequence, since we are adding the same number each time to find the next number. The general rule for an arithmetic sequence is
,
where a₁ is the first term and d is the common difference.

In this problem, a₁=5, since he starts at 5, and d=4, since he is adding 4 planks per day; this gives us


Letting 12 be n for the 12th day, we have
5+4(12-1)=5+4(11)=5+44=49.

yes

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

11/36 is .305 repeating