Find the GCF of 30m + 12n .(
The GCF (Greatest Common Factor) is a term that can be factored out of an expression. To find the GCF of 30m + 12n, we need to find the highest common factor of the coefficients 30 and 12, and any common variables.
First, we look at the coefficient of the variables. The GCF of 30 and 12 is 6.
Next, we look at the variables. In this case, there are no common variables between 30m and 12n. Therefore, the GCF of 30m + 12n is just 6.
Factor 8a − 28 using the GCF.
To factor out the GCF (Greatest Common Factor) of 8a - 28, we need to find the highest common factor of the coefficients 8 and 28.
The GCF of 8 and 28 is 4.
Now, we factor out the GCF from each term:
8a - 28 = 4(2a - 7)
Therefore, the expression 8a - 28 can be factored as 4(2a - 7).
Factor 12y + 6 using the GCF.
To factor out the GCF (Greatest Common Factor) of 12y + 6, we need to find the highest common factor of the coefficients 12 and 6.
The GCF of 12 and 6 is 6.
Now, we factor out the GCF from each term:
12y + 6 = 6(2y + 1)
Therefore, the expression 12y + 6 can be factored as 6(2y + 1).
Add: 5(0.5k−1)+2(0.4−k) . Answer should be in decimal form.
First, we simplify each term in the expression:
5(0.5k - 1) = 2.5k - 5
2(0.4 - k) = 0.8 - 2k
Now, we add the simplified terms together:
(2.5k - 5) + (0.8 - 2k) = 2.5k - 2k - 5 + 0.8 = 0.5k - 4.2
The final answer in decimal form is 0.5k - 4.2.
Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form.
To subtract 1/2(z+4) - 3(1/4z+1), we first distribute the coefficients inside the parentheses:
1/2(z+4) - 3(1/4z+1) = 1/2z + 2 - 3/4z - 3
Next, we combine like terms. The like terms are 1/2z and -3/4z, so we can combine them:
(1/2z - 3/4z) + (2 - 3) = (2/4z - 3/4z) + (-1) = -1/4z - 1
Therefore, the final answer is -1/4z - 1.