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Verdich [7]
3 years ago
9

9

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

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.

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Answer:

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Step-by-step explanation:

Translated 6 units to the right means that the x-value increases by 6.

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The second point must be C, as the translation lines it up with one of the answers.

7 0
3 years ago
What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  
geniusboy [140]
<span>3x – 15y = 60

y-intercept x = 0</span>
3(0)– 15y = 60
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y = -4

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x  =20

answer :

<span>C. x-intercept: 20; y-intercept: –4</span>
7 0
3 years ago
What is the equivalent of π\4 radians in degrees?
ratelena [41]
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4 0
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What is the solution to this equation ? x + 12 +3x =18 - 2x
olasank [31]

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Second, you add the 2x to each side (inverse operation): 12+6x=18

Third, you subtract 12 from 18 to cancel out the 12 (inverse operation): 6x=6

Fourth, you divide each side by 6 to find the value of x

The answer is x=1

3 0
3 years ago
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How would you do number 8?
Aloiza [94]

Answer:

9^2

so it is (m+9)^2

Step-by-step explanation:

i guess that is the correct answer

4 0
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