Advance Algebra 2 - Help

Question

1. How many fourths is 26 2/3 % ?

 

2. Find p in terms of m if m/p = r, r = p, p ≠ 0, and m ≥ 0.

 

3. Find the average of a/3, a/6, and a/9. 

 

4. What is the ones digit in 3^50?

 

Answer 1

1. How many fourths is 26 2/3 % ? Solve the proportion (26 2/3)/100 = x / 4. To do so, convert the mixed number to rational form, using common denominator three.  You can finish the job.

 

2. Find p in terms of m if m/p = r, r = p, p ≠ 0, and m ≥ 0.   p/m = 1/r provided m > 0, so p = m/r. But then substitute r=p), so p = m/p, so p² = m.  You can finish the job.

3. Find the average of a/3, a/6, and a/9.  Add these up (use common denom 18), then multiply by 1/3. 

 

4. What is the ones digit in 3^50?  Study the behavior of the list of powers of 3; you will see a repeating (cyclical) pattern.  Use your own head.

 

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