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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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Gradient is the slope, which is the letter m in the equation.

The point is written as (x1, y1) so replace x1 and y1 in the equation with the numbers in the given point.

A would be y - 1= 2(x-4)

B: y +5 = 5(x-2)

C: y-1= -3(x+1)

D: y -6 = 1/2(x-1)

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3 years ago
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Rudik [331]

Answer:

The type of sampling used is the Cluster sampling technique.

Step-by-step explanation:

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In random sampling, each passenger would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random passenger numbers and surveyed them, not just passengers all on the same bus picked randomly.

- Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth passengers is picked to be sampled.

- Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of passengers that they find.

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8 0
3 years ago
What are the coordinates of the hole in the graph of the function f(x)?
jonny [76]

Answer:

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The hole will occur where x-2 =0

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If we could cancel the x-2 values from the top and bottom, we are left with

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8 0
3 years ago
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3 0
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Answer:

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