Jimmy wants to ship some dumbbells to his sister. The flat rate box he is using allows a maximum weight of 70 pounds. Which of the following inequalities describes x, the number of 10 -pound dumbbells, and y, the number of 15 -pound dumbbells, Jimmy can send in the flat rate box?Choose 1 answer:(A) 10x+15y≤70(B) 15x+10y≤70(C) (x+10)+(y+15)≤7(D) (10+15)(x+y)≤70
Q. Jimmy wants to ship some dumbbells to his sister. The flat rate box he is using allows a maximum weight of 70 pounds. Which of the following inequalities describes x, the number of 10 -pound dumbbells, and y, the number of 15 -pound dumbbells, Jimmy can send in the flat rate box?Choose 1 answer:(A) 10x+15y≤70(B) 15x+10y≤70(C) (x+10)+(y+15)≤7(D) (10+15)(x+y)≤70
Identify variables and weights: Identify the variables and their corresponding weights. We have x representing the number of 10-pound dumbbells and y representing the number of 15-pound dumbbells. The weight of the dumbbells sent by Jimmy is the sum of the weights of the 10-pound and 15-pound dumbbells.
Write total weight inequality: Write the inequality that represents the total weight of the dumbbells. The total weight is 10x for the 10-pound dumbbells plus 15y for the 15-pound dumbbells. This total weight must be less than or equal to the maximum weight allowed by the flat rate box, which is 70 pounds. So, the inequality is 10x+15y≤70.
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