Answer:
13.5
Step-by-step explanation:
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
ANSWER:
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
The slope can be calculated as follows:
We use the points (4,7) and (1,1) to calculate the slope:
Now, we calculate the value of b, using the point (1,1) and the slope, like this:
Therefore, the equation would be:
Ben can have 8 servings total!
Hope this helps! :)
