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:
x positive, y negative
Step-by-step explanation:
-60 is the 4th quadrant of the unit circle ( negative angles go clockwise from 0), so the x value is positive and the y value is negative.
Answer:
11,67
Step-by-step explanation:
In the order to get the answer, we need to get the right measurements. That is turn the cm into m or 60 cm to 0,6 m because 1 cm is 0.01m. How many cupboards in a kitchen that is 4,2 m long? To get the answer just divide 4,2 m with 0,6 m, and that is 11,67 cupboards in a 4,2 m long kitchen.
Answer:
33.33
Step-by-step explanation:
Answer:
B. W,V,Z
Step-by-step explanation:
Collinear points are two more points in the same plane that lie in a straight line.
From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.
The points V, Z and W lie along the same diagonal, hence they are collinear.
The point y, Z, and X also lie along the same diagonal, these are also collinear.
The correct choice is B