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.
The answer is: A) They are relatively prime. This is because both of them aren't divisible by any other number than 1. (or 0 if you really want to do that)
Answer and Step-by-step explanation:
Yes, the three side lengths could form a triangle.
To find out if the sides can form a triangle, you take the lowest side lengths and add them together. If they are <u>greater </u>than the longest side, then they can form a triangle. <u>If it is equal or less than the longest side,</u> then it CAN NOT form a triangle.
7.8 + 10.4 > 13
18.2 > 13
<u>So, the answer is Yes.</u>
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
the highest score is obviously going to be 2125 because that is 100%
Answer:
c > 9
Step-by-step explanation:
2c/3 + 1 > 7
subtract 1 from both sides
2c/3 > 6
multiply both sides by 3
2c > 18
divide both sides by 2
c > 9