Question

1. check for reasonableness the maximum number of students in a classroom is 26. if there are 16 students signed up for the art class, how many more students can join the class without exceeding the maximum? 11. higher order thinking the inequality x + c > -2.55 has the solution x > 4.85 what is the value of c? how do you know?

Explanation:

Problem 10 (Mathematics - Algebra)

Step1: Define the problem

Let \( x \) be the number of additional students. The total number of students is \( 16 + x \), which must be less than or equal to 26.

Step2: Set up the inequality

\( 16 + x \leq 26 \)

Step3: Solve for \( x \)

Subtract 16 from both sides: \( x \leq 26 - 16 \)
\( x \leq 10 \)

Step1: Start with the inequality

We have \( x + c > -2.55 \) and the solution is \( x > 4.85 \).

Step2: Solve the inequality for \( x \)

Subtract \( c \) from both sides: \( x > -2.55 - c \)

Step3: Compare with the given solution

Since \( x > 4.85 \) and \( x > -2.55 - c \), we set \( -2.55 - c = 4.85 \)

Step4: Solve for \( c \)

Add \( c \) to both sides: \( -2.55 = 4.85 + c \)
Subtract 4.85 from both sides: \( c = -2.55 - 4.85 \)
\( c = -7.4 \)

Answer:

10 more students can join.

Problem 11 (Mathematics - Algebra)