Question

middle school with x students ran a survey to determine the students' favorite activities. The table indicates the number of students who enjoy each activity. PART A Write an expression in the table for each activity to represent the number of students who enjoy that activity most. Activity Dance Soccer Word Description 25 more than one-tenth of the students 20 fewer than three-tenths of the students Baseball 21 more than one-tenth of the students Expression PART B Write a simplified expression to represent students whose favorite activity is either dance or baseball.

Answer 1

In this question, we need to write expressions for the number of students who enjoy each activity and then simplify the expression for students whose favorite activity is either Dance or Baseball.

Step-by-step explanation:

Part A: To write an expression for each activity, we can use the given descriptions and algebraic expressions. The expression for Dance is x/10 + 25, where x is the total number of students. The expression for Soccer is 3x/10 - 20. The expression for Baseball is x/10 + 21.

Part B: To write a simplified expression for students whose favorite activity is either Dance or Baseball, we need to combine the expressions for Dance and Baseball. The simplified expression is (x/10 + 25) + (x/10 + 21), which can be simplified further as 2x/10 + 46.

Answer 2

Activity Expression

Dance x/10 + 25

Soccer x/3 - 20

Baseball x/10 + 21

To find the students whose favorite activity is either dance or baseball, we can add the expressions for those two activities:

(x/10 + 25) + (x/10 + 21) = (2x/10) + 46

Simplifying this expression, we get:

x/5 + 46

So the simplified expression for the number of students whose favorite activity is either dance or baseball is (x/5 + 46).

Step-by-step explanation: