or a class he is taking, Jayson has to complete at least 35 h of volunteer work. He has already completed 7 h at the food bank. He wants to finish his hours at a local animal shelter, where all the shifts are 4 h long.Which of the following inequalities expresses the number of shifts that Jayson needs to volunteer for to complete his class?a bc d

A student earns $7.50 per hour at her part-time job. She wants to earn at least $200. Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal. Enter your response in the first response box. Enter the least whole number of hours the student needs to work in order to earn at least $200, Enter your response in the second response box.

Ali wants to earn more than $31 trimming trees. He charges $7 per hour and pays $4 in equipment fees. What are the possible numbers of hours Ali could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.

To solve this problem, we need to translate the given information into inequalities and then graph these inequalities on the coordinate plane provided. Felipe exercises for at least 10 hours a week. This means the total time spent on cardiovascular work (x) and weight training (y) must be equal to or greater than 10 hours. This can be represented by the inequality: \[ x + y \geq 10 \] Felipe spends at most 6 hours on weight training. This means the time spent on weight training (y) must be equal to or less than 6 hours. This can be represented by the inequality: \[ y \leq 6 \] Since Felipe cannot spend negative time on either activity, we also have two more inequalities: \[ x \geq 0 \] \[ y \geq 0 \] Now, let's graph these inequalities on the coordinate plane: 1. The inequality \( x + y \geq 10 \) represents a line that passes through the points (10,0) and (0,10). We will draw this line and shade the region above it since we want the sum of x and y to be greater than or equal to 10. 2. The inequality \( y \leq 6 \) represents a horizontal line that passes through the point (0,6) on the y-axis. We will draw this line and shade the region below it since y must be less than or equal to 6. 3. The inequalities \( x \geq 0 \) and \( y \geq 0 \) indicate that we are only considering the first quadrant of the coordinate plane where both x and y are non-negative. The region that satisfies all these requirements will be the intersection of the shaded regions. Since I cannot physically shade the graph for you, you will need to do this on your own graph. The region you should shade is the one that is above the line \( x + y = 10 \), below the line \( y = 6 \), and to the right of the y-axis (since x must be non-negative). This will form a triangular region in the first quadrant of the coordinate plane.

A woodworking artist makes two types of carvings: type X and type Y. He spends 3 hours making each type X carving and 2 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $5 for each type X carving and $7 for each type Y carving, and he must keep his weekly cost for materials to $105 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?A.3x + 2y ≥ 30, 5x + 7y ≥ 105B.3x + 2y ≥ 30, 5x + 7y ≤ 105C.3x + 2y ≤ 30, 5x + 7y ≤ 105D.3x + 2y ≤ 30, 5x + 7y ≥ 105SUBMITarrow_backPREVIOUS

Each year, Mr. Watson's class does a service project. Mr. Watson volunteers 2 hours of time, and he asks each student to volunteer one hour.Let s represent the number of students in Mr. Watson's class one year and h represent the total number of volunteer hours that year.This relationship can also be shown in a table. Complete the equation that represents the relationship between s and h.s h1 32 43 54 6h=