Question

Need fast

Simplify the expression.

the expression negative three fifths times k minus 9 plus the expression 6 plus one fourth times k

negative 7 over 20 times k plus negative 3
7 over 20 times k plus negative 3
negative 2 over 9 times k plus negative 15
negative 17 over 20 times k plus negative 15

Answer 1

`-(7)/(20)k-3` (or negative seven over twenty times k plus negative 3)

Explanation:

Step 1: Write out into numeral form

`-(3)/(5)k-9+6+(1)/(4) k`

Step 2: Factor out the common term

`k(-(3)/(5) + (1)/(4))-9+6`

Step 3: Find a common denominator

`k(-(12)/(20)+(5)/(20) )-9+6`

Step 4: Add and Distribute

`-(7)/(20)k-9+6`

Step 5: Simplify

`-(7)/(20)k-3`

Hope this helped!

Answer 2

The correct option is b.

The expression simplifies to (-7/20)k - 3 by distributing the coefficients to k, combining like terms, and finding a common denominator.

To simplify the expression negative three fifths times k minus 9 plus the expression 6 plus one fourth times k, we need to follow the order of operations and combine like terms.

First, distribute negative three fifths (-3/5) to k, and one fourth (1/4) to k:

• (-3/5) * k = (-3/5)k
• (1/4) * k = (1/4)k

Then combine the k terms and constants:

• ((-3/5)k + (1/4)k) + (-9 + 6)
• To add the k terms, find a common denominator, which is 20. Multiply each term by an equivalent fraction that will give the denominator of 20:
• ((-12/20)k + (5/20)k) which becomes (-7/20)k

Now add the constants:

• -9 + 6 = -3

Thus, the expression simplifies to (-7/20)k - 3.