What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y?

6
a. -----
5-y

6
b. ----- (?)
5+y

c. 6(5+y)

d. 6/5 + 6y

What is the algebraic expression for the following word phrase: the quotient of j and 8?

a. j-8
b. j+8

c. j
--- (?)
8

d. 8j

What is the difference?

9/5 - 1/6

a. 49/30 (?)
b. -8/1
c. 59/30
d. -1/8

What is the simplified form of the following expression?

√1/169

a. 1/338
b. 1/13 (?)
c. 13
d. 2/169

all correct.

Fractions prolly should be written like 6/(5+y) online, because of browser formatting.

Thank you!

I'm sorry about the dashes, it was supposed to be like a fraction.

a. 6 / (5+y)

c. j / 8

c. 49/30

b. 1/13

To find the algebraic expressions for the given word phrases, we need to understand the mathematical operations involved in the phrases.

1. The word phrase "the quotient of 6 and the sum of 5 and y" can be written as 6 / (5 + y). This means taking 6 and dividing it by the sum of 5 and y. So, the correct answer is:

a. 6 / (5 - y)

2. The word phrase "the quotient of j and 8" can be written as j / 8. This means taking j and dividing it by 8. So, the correct answer is:

c. j / 8

Moving on to the next question,

3. To find the difference between 9/5 and 1/6, we need to subtract the second fraction from the first fraction. So, the correct answer is:

c. 59/30

Lastly,

4. To simplify the expression √(1/169), we take the square root of the fraction. The square root of 1 is 1, and the square root of 169 is 13. So, the correct answer is:

b. 1/13

By following the explanations provided, you can now determine the correct answer for each question.