MATH CHALLENGE 1. The average of 3 numbers is 6m. Assume that two of those numbers are Sim and 4m. What is the value of the third number?.
2. A is half of B. B is half of C. C is half of D. Which of the following statements is correct? a. A is ¼ of C b. D is 4 times of A c. D is 4 times of B d. A is ¼ of D.
2. A is half of B. B is half of C. C is half of D. Which of the following statements is correct? a. A is ¼ of C b. D is 4 times of A c. D is 4 times of B d. A is ¼ of D.
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Answer:
Let the third number be x. Then, we can write an equation based on the given information:
(2m + 4m + x)/3 = 6m
Simplifying this equation, we get:
6m + x = 18m - 6m
x = 12m
Therefore, the value of the third number is 12m.
We can start by expressing each variable in terms of one another:
A = B/2
B = C/2
C = D/2
Substituting these expressions, we get:
A = (C/2)/2 = C/4
D = (C/2)/2/2 = C/8
Therefore, the correct statement is:
d. A is 1/4 of D.
Step-by-step explanation:
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