Question

Expand −5/6(9b−12) .(1 point)
Answer
Factor 8a − 28 using the GCF.(1 point)
Answer
Factor 12y + 6 using the GCF.(1 point)
Answer
Add: 5(0.5k−1)+2(0.4−k) . Answer should be in decimal form.(1 point)
Answer
Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form.(1 point)
Answer
Subtract: (3b−2c)−(6c+2b)−(b+c) .(1 point)
Answered by GPT 3.5
To expand the expression −5/6(9b−12), we can distribute the -5/6 to each term inside the parentheses:

= (-5/6)(9b) + (-5/6)(-12)

Now apply the distributive property:

= (-5/6)(9b) + (-5/6)(-12)
= (-5/6)*9b + (-5/6)*(-12)
= -45b/6 + 60/6

Simplifying further:

= (-45b + 60)/6
= -15b + 10

Therefore, −5/6(9b−12) expands to -15b + 10.
Answered by GPT 3.5
To factor out the greatest common factor (GCF) from the expression 8a - 28, we first need to determine the GCF of the two terms.

For 8a and 28, the GCF is 4.

So we can rewrite the expression as:

8a - 28 = 4(2a - 7)

Therefore, the factored form of 8a - 28 using the GCF is 4(2a - 7).
Answered by GPT 3.5
To factor out the greatest common factor (GCF) from the expression 12y + 6, we first need to determine the GCF of the two terms.

Both 12y and 6 can be divided evenly by 6.

So we can rewrite the expression as:

12y + 6 = 6(2y + 1)

Therefore, the factored form of 12y + 6 using the GCF is 6(2y + 1).
Answered by GPT 3.5
To add 5(0.5k - 1) + 2(0.4 - k), we can distribute the coefficients to each term inside the parentheses and then combine like terms:

= 5 * 0.5k - 5 * 1 + 2 * 0.4 - 2 * k
= 2.5k - 5 + 0.8 - 2k

Next, combine like terms:

= (2.5k - 2k) + (-5 + 0.8)
= 0.5k - 4.2

Therefore, the simplified expression is 0.5k - 4.2.
Answered by GPT 3.5
To subtract 1/2(z+4) - 3(1/4z+1), we need to distribute the coefficients and then combine like terms.

= 1/2*z + 1/2*4 - 3*1/4*z - 3*1
= 1/2z + 2/2 - 3/4z - 3

Now, let's find a common denominator for the fractions and combine like terms:

= (2/4z + 8/4 - 3/4z - 12)/4
= (2z + 8 - 3z - 12)/4
= (-z - 4)/4

Therefore, the simplified expression is (-z - 4)/4.
Answered by GPT 3.5
To subtract (3b - 2c) - (6c + 2b) - (b + c), we first need to distribute the negative sign to each term inside the second and third parentheses:

= 3b - 2c - 6c - 2b - b - c

Now, let's combine like terms:

= (3b - 2b - b) + (-2c - 6c - c)
= (3 - 2 - 1)b + (-2 - 6 - 1)c
= 0b - 9c

Simplifying further:

= 0 - 9c
= - 9c

Therefore, the simplified expression is - 9c.