Answer:
Step-by-step explanation:
<u>Given</u>
- 18n + 12 = 27n + 3
-
5(x + 7) = 6(x - 5)
<u>Solving for variables</u>
1
- 18n + 12 = 27n + 3
- 18n - 27n = 3 - 12
- -9n = -9
- n = -9/-9
- n = 1
2
- 5(x + 7) = 6(x - 5)
- 5x + 35 = 6x - 30
- 5x - 6x = -30 - 35
- -x = -65
- x = 65
Answer:
y = mx + b
Step-by-step explanation:
The reason is, x is always the hour, and m is the amount of money you earn in the hours.
Answer:
2nd quadrant
Step-by-step explanation:
https://en.wikipedia.org/wiki/Quadrant_(plane_geometry)
The combinations of batches that Rebecca can use are the solutions of:
120 ≤ 15*x + 12*y ≤ 360
One example is x = 10 and y = 0.
<h3>What combination of batches of each could Rebecca make?</h3>
Let's define the variables:
- x = number of batches of cookies.
- y = number of batches of cupcakes.
We know that she makes batches of 15 cookies and batches of 12 cupcakes, then the total number of baked goods that she makes is:
15*x + 12*y
And we know that she wants to make at least 120 and no more than 360, then we can write the inequality:
120 ≤ 15*x + 12*y ≤ 360
So any pair of values of x and y that make the inequality true, is a combination of batches that Rebecca could use.
An example is x = 10 and y = 0.
120 ≤ 15*10 + 12*0 ≤ 360
120 ≤ 150 ≤ 360
If you want to learn more about inequalities:
brainly.com/question/24372553
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