Answer:

Step-by-step explanation:
We have been given an equivalence equation
. We are asked to find all the square root of the given equivalence equation.
Upon converting our given equivalence equation into an equation, we will get:
Add 53 on both sides:


Take square root of both sides:

Therefore, the square root for our given equation would be
.
Given:
The given phrase is 16 seconds faster than Aya’s time.
To find:
The algebraic expression for the given phrase.
Solution:
Let x be the Aya’s time.
16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.
We know that a negative sign "-" is used for less than.
16 seconds less than Aya’s time = 
16 seconds faster than Aya’s time =
Therefore, the required algebraic expression is
.
Answer:
45/63
Step-by-step explanation:
6 3/10=63/10, 4 1/2=45/10,
(45/10)/(63/10)=45/63
First simplify the square roots:

Then simplify the last two terms:

Since 61 is prime, you can't take a rational root out of it.
4 to 7 = 4/7
5/8 is not.
12/20 = 6/10 = 3/5 . It is not equivalent.
8:14 = 4 : 7 . It is equivalent
5 to 10 = 1 to 2. It is not.
16/28 = 8/14 = 4/7. It is equivalent.
9 to 16 = 9 to 16. It is not equivalent.
So only 8:14 and 16/28 are equivalent to 4 to 7.