Jacqueline has two part-time jobs. She earns $15 per hour, l , working as a lab assistant, and $12 per hour, s , working as a cashier. This is modeled by 15l+12s . Evaluate for l=5 and s=7 to find how much money Jacqueline will earn at her two jobs this week. simple answer pls
To find how much money Jacqueline will earn at her two jobs this week, we need to substitute the given values of l=5 and s=7 in the expression 15l+12s:
15(5) + 12(7) = 75 + 84 = 159
Therefore, Jacqueline will earn $159 at her two jobs this week.
Find the GCF of 20x − 4
To find the greatest common factor (GCF) of 20x − 4, we need to factor out the common factors of the terms 20x and -4.
The prime factorization of 20 is 2 * 2 * 5, and the GCF of 20x and -4 includes the 2 factor, so we can factor out a 2:
20x − 4 = (2 * 10x) − (2 * 2) = 2(10x − 2)
The GCF of 20x − 4 is 2.
Find the GCF of 30m + 12n .
To find the greatest common factor (GCF) of 30m + 12n, we need to factor out the common factors of the terms 30m and 12n.
The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 12 is 2 * 2 * 3. The GCF of 30m and 12n includes the common factors 2 and 3.
Next, we need to look at the variables m and n. In the expression 30m + 12n, there is no common power of m and n that can be factored out.
Therefore, the GCF of 30m + 12n is 2 * 3 = 6.
Factor 8a − 28 using the GCF
To factor 8a − 28 using the greatest common factor (GCF), we need to find the largest factor that both terms, 8a and -28, have in common.
First, let's factor out the GCF of 8a and -28. The prime factorization of 8 is 2 * 2 * 2, and the prime factorization of 28 is 2 * 2 * 7.
The GCF of 8 and 28 is 2 * 2 = 4.
Next, we need to look at the variable a. In the expression 8a − 28, there is no common power of a that can be factored out.
Therefore, we can write 8a − 28 as:
8a − 28 = 4(2a − 7).
Add: 5(0.5k−1)+2(0.4−k) . Answer should be in decimal form
To add 5(0.5k - 1) + 2(0.4 - k), we distribute the coefficients:
5(0.5k - 1) + 2(0.4 - k) = 2.5k - 5 + 0.8 - 2k
Now, we can simplify by combining like terms:
2.5k - 5 + 0.8 - 2k = (2.5k - 2k) + (-5 + 0.8)
Simplifying further gives:
0.5k - 4.2
Therefore, the final answer is 0.5k - 4.2.