Question

(1) 2 is subtracted from one-fifth of n. (2) Five-sixths of x is added to the product of 8 and w. (3) The sum of one-half of p, one-sixth of d, and 4. (4) 4 is subtracted from one-sixth of c.

a) (2) (-3/4)n + (5/6)x + 8w
b) (1) (n/5) - 2, (2) (5/6)x + 8w, (3) (p/2) + (d/6) + 4, (4) (c/6) - 4
c) (1) (n/5) - 2, (2) (5x/6) + 8w, (3) (p/2) + (d/6) + 4, (4) (c/6) - 4
d) (1) (n/5) - 2, (2) (5/6)x + 8w, (3) (p/2) + (d/6) + 4, (4) (c/6) - 4

Answer 1

The correct translation of the mathematical phrases into algebraic expressions is option b, which precisely matches the given descriptions.

Step-by-step explanation:

The student has presented four different mathematical expressions to translate into algebraic expressions:

1. 2 is subtracted from one-fifth of n: (n/5) - 2
2. Five-sixths of x is added to the product of 8 and w: (5/6)x + 8w
3. The sum of one-half of p, one-sixth of d, and 4: (p/2) + (d/6) + 4
4. 4 is subtracted from one-sixth of c: (c/6) - 4

Comparing the provided options with these expressions, we can identify that option b correctly matches all the described expressions and is thus the correct answer.