often you can write an equation to solve a problem

1. is right.

2. The cost per ticket is $2.83
I think you can find a better inequality.

3. right

#2 ) answer could it be;

t < $10

sorry forget what i wrote

for #2 could it be;
the ticket is at most $10
t > 10

ok so #2

the ticket is at most $10
statement is
t > 10
right?

Right.

1) To solve for the cost per ticket, you are correct in setting up an equation. However, there is a minor error in your calculation. Let's correct it:

The profit the band made from the concert is $352. They sold 116 tickets and spent $25 on advertising. Let's denote the cost per ticket as 'x'.

The equation can be set up as follows: 116x - $25 = $352.

To solve for 'x', we isolate the variable by moving the constant terms to the right side of the equation, resulting in: 116x = $352 + $25.

Simplifying further, we have: 116x = $377.

To find the cost per ticket 'x', we divide both sides of the equation by 116: x = $377 ÷ 116.

Calculating this, the cost per ticket is approximately $3.25.

2) The inequality for the statement "the ticket is at most $10" should be written as 't ≤ $10'. In this case, '≤' represents "less than or equal to." Your answer, 't ≥ $10', actually states that the ticket is greater than or equal to $10.

3) The inequality for the statement "the race is less than 5 miles' is correctly written as 'r < 5'. Your answer is accurate.