Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
(b) (7/9)³
(c) (-2/3)⁴
Hence, this is the required solution.
Answer:
a
Step-by-step explanation:
Answer:
36 boys
Step-by-step explanation:
3
Please write the ratio as 3:5 or as --------
5
Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.
How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.
Multiplying both sides of this equation by (8/5), to isolate c, we get:
c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.
3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.
We could also solve this problem in the following manner:
3 b
------ = ------- , where b represents the number of boys.
5 60
Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys
