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- How do you find the least common multiple, and denominator for fractions 1/2, 1/4, 1/6, and 1/10. If you can please use a factor tree. I already asked this question, but it wasn't detailed enough on the LCM. I am super dumb with math, so pretend you are talking to a 4th grader.F. Determine the answer to the following questions: 1. “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer. 2. Explain why the final answer is a greatest common divisor, least common multiple, or neither.Numeracy Part A. Choose a and b, two whole numbers that are relatively prime, meaning that the numbers share no common prime factors. State your numbers. Determine the numbers between 1 and 1000, inclusive, are divisible by at least one of your numbers. Part B. Choose c and d, two composite numbers that share exactly one prime factor and are such that neither divides into the other without a remainder. State your numbers. Determine the numbers between 1 and 1000, inclusive, are divisible by at least one of your numbers. Part C. Choose r and s, two unequal whole numbers that are such that one number is divisible by the other. State your numbers. Determine the numbers between 1 and 1000, inclusive, are divisible by at least one of your numbers.
- Discrete Math:GCD: Greatest common divisor LCM: Least common multiple. The gcd(30,40) is 10 and the lcm(30,40) is 120. Questions: Confirm that gcd(30,40) * lcm(30,40) = 30 * 40. Find integers a and b such that 30a + 40b = gcd(30,40)The prime factorization of 12 with cubes AND the prime factorization of 12 with a factor tree? Please explain how they relate to each other.The simplest factorial design is a ______ design. a. 1 × 1 b. 2 × 2 c. 2 × 1 d. 1 × 2
- A test for checking computations is called casting out nines. Consider the sum 672 +301 +500=1473. The remainders when 672, 301, and 500 are divided by 9 are 6, 4, and 5, respectively. The sum of the remainders, 15, has a remainder of 6 when divided by 9, as does 1473. Find the following sum and use casting out nines to check. 283 +581 +386 283 + 581 +386 = The remainders when 283, 581, and 386 are divided by 9 are 4, 5, and 8, respectively. When divided by 9, both the sum of these remainders and the sum of the original numbers leave the remainderJoey gets 2 job offers from 2 different marketing firms. The 2 companies have different salary options. With either company, he earns $29000 during his first year. After that, with Company A) he gets an annual raise of $950 per year or with Company B) he gets a 3% raise each year. Assuming salary is Joey’s determining factor in accepting a job, which company is better for Joey A in year 5? B in year 10?A. Find the prime factorization of 648, 1056, and 1496. B. Using their prime factorization, find the GCF and LCM for 648, 1056, and 1496. The answer should be in prime factorization form
- A. Is the set of all positive integers closed for subtraction? Is the set of all positiveintegers closed for multiplication? Explain your answer. Subtraction: Multiplication: B. If a bug crawls from the lower left corner of a wall to the upper right cornerdiagonally, how much shorter is its trip compared to crawling horizontally from the lowerleft corner of the wall to the lower right corner and then straight up to the upper rightcorner? Assume the wall is a 30 feet wide and 9 feet tall, and give your answer to thenearest foot.Using pattern blocks and fraction bars show the addition for this problemE. Determine the largest number of widgets that can be placed in each box if it is required that all boxes contain the same number of widgets and each box contains only one color. Explain the steps and problem-solving strategy used to determine the answer. 1. Explain why the final answer is a greatest common divisor, least common multiple, or neither. Note: The box size is not necessary information for completing parts E and E1. F. Determine the answer to the following question: “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer. 1. Explain why the final answer is a greatest common divisor, least common multiple, or neither. THIS IS FOR PART 3