) A wierd number is a number that is the product of two consecutive primes, such as 7x11=77 . What is the least common multiple of the 5 smallest wierd number
7) According to an ancient belief, when a friend visits a sick person, 1/70 of his sickness is taken away. What is the least amount of friends that need to visit to take away at least 81% of a person's illness?
can any one get the answer
56.7(round that up to 57 to be realistic) because if you represent it as a math equation it looks like this:
1/70 times X=81/100(what 81% is as a fraction)
then if you solve for x, you get 56.7
To find the least common multiple (LCM) of the 5 smallest weird numbers, we can follow these steps:
Step 1: Find the two consecutive prime numbers for each weird number.
- The first weird number is 7 * 11 = 77 (prime numbers are 7 and 11).
- The second weird number is 11 * 13 = 143 (prime numbers are 11 and 13).
- The third weird number is 13 * 17 = 221 (prime numbers are 13 and 17).
- The fourth weird number is 17 * 19 = 323 (prime numbers are 17 and 19).
- The fifth weird number is 19 * 23 = 437 (prime numbers are 19 and 23).
Step 2: List the prime factorization of each weird number.
- Prime factorization of 77: 7 * 11
- Prime factorization of 143: 11^2 * 13
- Prime factorization of 221: 13 * 17
- Prime factorization of 323: 17 * 19
- Prime factorization of 437: 19 * 23
Step 3: Determine the highest power of each prime factor.
- Prime factors: 7, 11, 13, 17, 19, 23
- Highest power for each factor: 7^1, 11^1, 13^1, 17^1, 19^1, 23^1
Step 4: Multiply all the prime factors with the highest power.
- LCM = 7^1 * 11^1 * 13^1 * 17^1 * 19^1 * 23^1
- LCM = 510,029
Therefore, the least common multiple (LCM) of the 5 smallest weird numbers is 510,029.
Regarding the second question, to determine the least amount of friends needed to take away at least 81% of a person's illness, we need to solve the equation:
(1/70) * X = (81/100)
To find X, we can multiply both sides of the equation by 70 to eliminate the fraction:
X = (81/100) * 70
Calculating this expression gives us:
X = 56.7
Rounding it up to be realistic, we get X = 57.
Therefore, the least amount of friends needed to take away at least 81% of a person's illness is 57.