A. Calculate multiples of 5 and 6, their LCM. 11. 1.2 million goods sold/year. a) Total goods/year? b) 2/12 of total? c) 6/12 of total? d) 9/12 of total?

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Asked on April 8, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-08T17:42:20.676Z

Here are the solutions to the problems: A. Calculate the following (continuation) Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ... Multiples of 6: 6, 12, 18, 24, 30, 36, ... LCM: The least common multiple of 5 and 6 is 30. 11. 1.2 million goods are sold per annum (each year). The total amount of goods is 1.2 million, which is 1,200,000. a) What is the total amount of goods sold per year? The total amount of goods sold per year is 1,200,000. b) What is (2)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (2)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (1)/(6) × 1,200,000 = (1,200,000)/(6) = 200,000 The amount is 200,000. c) What is (6)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (6)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (1)/(2) × 1,200,000 = (1,200,000)/(2) = 600,000 The amount is 600,000. d) What is (9)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (9)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (3)/(4) × 1,200,000 = (3 × 1,200,000)/(4) = 3 × 300,000 = 900,000 The amount is 900,000. e) What is (11)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (11)/(12) × 1,200,000 Step 2: Multiply. 11 × ((1,200,000)/(12)) = 11 × 100,000 = 1,100,000 The amount is 1,100,000. 12. What percentage of the circle is red? Top-left circle: The circle is divided into 4 equal parts. 1 of these parts is red. Fraction red: (1)/(4) Percentage red: (1)/(4) × 100\% = 25\% Top-right circle: The circle is divided into 2 equal parts. 1 of these parts is red. Fraction red: (1)/(2) Percentage red: (1)/(2) × 100\% = 50\% Bottom-left circle: The circle is divided into 4 equal parts. 3 of these parts are red. Fraction red: (3)/(4) Percentage red: (3)/(4) × 100\% = 75\% Bottom-right circle: The circle is divided into 4 equal parts. 0 of these parts are red (all parts are white). Fraction red: (0)/(4) = 0 Percentage red: 0 × 100\% = 0\%

Accepted Answer · 2026-04-08T17:42:20.676Z

Here are the solutions to the problems: A. Calculate the following (continuation) Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ... Multiples of 6: 6, 12, 18, 24, 30, 36, ... LCM: The least common multiple of 5 and 6 is 30. 11. 1.2 million goods are sold per annum (each year). The total amount of goods is 1.2 million, which is 1,200,000. a) What is the total amount of goods sold per year? The total amount of goods sold per year is 1,200,000. b) What is (2)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (2)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (1)/(6) × 1,200,000 = (1,200,000)/(6) = 200,000 The amount is 200,000. c) What is (6)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (6)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (1)/(2) × 1,200,000 = (1,200,000)/(2) = 600,000 The amount is 600,000. d) What is (9)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (9)/(12) × 1,200,000 Step 2: Simplify the fraction and multiply. (3)/(4) × 1,200,000 = (3 × 1,200,000)/(4) = 3 × 300,000 = 900,000 The amount is 900,000. e) What is (11)/(12) of the total amount? Step 1: Calculate the fraction of the total amount. (11)/(12) × 1,200,000 Step 2: Multiply. 11 × ((1,200,000)/(12)) = 11 × 100,000 = 1,100,000 The amount is 1,100,000. 12. What percentage of the circle is red? Top-left circle: The circle is divided into 4 equal parts. 1 of these parts is red. Fraction red: (1)/(4) Percentage red: (1)/(4) × 100\% = 25\% Top-right circle: The circle is divided into 2 equal parts. 1 of these parts is red. Fraction red: (1)/(2) Percentage red: (1)/(2) × 100\% = 50\% Bottom-left circle: The circle is divided into 4 equal parts. 3 of these parts are red. Fraction red: (3)/(4) Percentage red: (3)/(4) × 100\% = 75\% Bottom-right circle: The circle is divided into 4 equal parts. 0 of these parts are red (all parts are white). Fraction red: (0)/(4) = 0 Percentage red: 0 × 100\% = 0\%

A. Calculate multiples of 5 and 6, their LCM. 11. 1.2 million goods sold/year. a) Total goods/year? b) 2/12 of total? c) 6/12 of total? d) 9/12 of total?

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A. Calculate multiples of 5 and 6, their LCM. 11. 1.2 million goods sold/year. a) Total goods/year? b) 2/12 of total? c) 6/12 of total? d) 9/12 of total?

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