mr. ishimoto ordered x new math books and y new workbooks for his class. the total weight of the box of…

mr. ishimoto ordered x new math books and y new workbooks for his class. the total weight of the box of books cannot be more than 50 pounds. if each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?\n3.2x + 0.8y < 50\n3.2x + 0.8y ≤ 50\n0.8x + 3.2y < 50\n0.8x + 3.2y ≤ 50

mr. ishimoto ordered x new math books and y new workbooks for his class. the total weight of the box of books cannot be more than 50 pounds. if each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?\n3.2x + 0.8y < 50\n3.2x + 0.8y ≤ 50\n0.8x + 3.2y < 50\n0.8x + 3.2y ≤ 50

Answer

Answer:

B. $3.2x + 0.8y\leq50$

Explanation:

Step1: Calculate weight of math - books

The weight of $x$ math - books, with each weighing 3.2 pounds, is $3.2x$ pounds.

Step2: Calculate weight of workbooks

The weight of $y$ workbooks, with each weighing 0.8 pounds, is $0.8y$ pounds.

Step3: Determine the total weight inequality

The total weight of the books is the sum of the weight of math - books and workbooks, which is $3.2x + 0.8y$. Since the total weight cannot be more than 50 pounds (i.e., it can be equal to 50 pounds or less), the inequality is $3.2x + 0.8y\leq50$.