A farmer is going to plant more than 50 acres in corn this year. If a represents the number of acres planted in corn, write an inequality to describe all possible values of a.

a>50A is greater than 50

a<50a<50

a≥50A is greater than or equal to 50

a≤50

+ 1) is an even number.

Take any n ∈ N, then n is either even or odd.

• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.

• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)

is even. QED

2. The sum of the first n natural num

Step-by-step explanation:

a>50A is greater than 50

a<50a<50

a≥50A is greater than or equal to 50

a≤50

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

sine

step-by-step explanation: