Question

Expand −5/6(9b−12) . Fill in the blanks to complete the expanded expression.

Answer 1

what is the final answer

Answer 2

Find the GCF of 20x − 4 .

Answer 3

Find the GCF of 30m + 12n .

Answer 4

whats the final answer

Answer 5

Factor 12y+6 using the GCF.

Answer 6

To expand the expression \(-\frac{5}{6}(9b - 12)\), you will distribute \(-\frac{5}{6}\) to both terms inside the parentheses:

1. Multiply \(-\frac{5}{6}\) by \(9b\):
\[
-\frac{5}{6} \cdot 9b = -\frac{45}{6}b = -\frac{15}{2}b
\]

2. Multiply \(-\frac{5}{6}\) by \(-12\):
\[
-\frac{5}{6} \cdot -12 = \frac{5 \cdot 12}{6} = \frac{60}{6} = 10
\]

Now, combine the results:
\[
-\frac{5}{6}(9b - 12) = -\frac{15}{2}b + 10
\]

So, the completed expanded expression is:
\[
-\frac{15}{2}b + 10
\]

Answer 7

The final expanded expression for \(-\frac{5}{6}(9b - 12)\) is:

\[
-\frac{15}{2}b + 10
\]

Answer 8

To find the greatest common factor (GCF) of the expression \(20x - 4\), we first look for the GCF of the coefficients of the terms.

1. The coefficients are \(20\) and \(-4\).
2. The GCF of \(20\) and \(4\) is \(4\).

Next, we can factor \(4\) out of the expression:

\[
20x - 4 = 4(5x - 1)
\]

So, the GCF of \(20x - 4\) is \(4\).

Answer 9

To find the greatest common factor (GCF) of the expression \(30m + 12n\), we need to determine the GCF of the coefficients \(30\) and \(12\).

1. **Find the GCF of the coefficients**:
- The factors of \(30\) are \(1, 2, 3, 5, 6, 10, 15, 30\).
- The factors of \(12\) are \(1, 2, 3, 4, 6, 12\).
- The common factors are \(1, 2, 3, 6\).
- The greatest of these is \(6\).

2. **Factor out the GCF**:
Now that we know the GCF is \(6\), we can factor it out from the expression:
\[
30m + 12n = 6(5m + 2n)
\]

Thus, the GCF of \(30m + 12n\) is \(6\).

Answer 10

The greatest common factor (GCF) of \(30m + 12n\) is **6**.

Answer 11

To factor the expression \(12y + 6\) using the greatest common factor (GCF):

1. **Find the GCF of the coefficients**:
- The coefficients are \(12\) and \(6\).
- The GCF of \(12\) and \(6\) is \(6\).

2. **Factor out the GCF**:
Now that we know the GCF is \(6\), we can factor it out from the expression:
\[
12y + 6 = 6(2y + 1)
\]

Therefore, the factored form of \(12y + 6\) is:
\[
\boxed{6(2y + 1)}
\]