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Answer:
Market price $400
Cost price $300
Step-by-step explanation:
MP: market price
CP: cost price
1. (MP x 0.9) - CP = 60
CP = 0.9MP - 60
2. MP - CP = 100
CP = MP - 100
0.9MP - 60 = MP - 100
MP - 0.9MP = 100 - 60
0.1MP = 40
MP = 400
Cost price = MP - 100 = 400 - 100 = 300
Answer:
To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.
<h3>
Answer:</h3>
A net is shown with 3 rectangles attached side by side all with width 2 centimeters. The length of the first and third rectangle is 9 centimeters and the middle is 7 centimeters. Attached to the middle rectangle below are 3 rectangles with a length of 7 centimeters. The width of these rectangles are 9 centimeters, 2 centimeters, and 9 centimeters.
<h3>
Step-by-step explanation:</h3>
The area of a rectangular prism is the area of 6 surfaces. That is, 3 pairs of surfaces. Each of the three pairs will have one of the sets of dimensions ...
- length × width
- length × height
- width × height
In order for a net to be a net useful for calculating the prism surface area, it must have 3 pairs of rectangles with these dimensions. The description above matches that requirement.
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Please note that no two surfaces with the same pair of dimensions are adjacent.