Width of the rectangle is 12m
<u>Explanation:</u>
<u></u>
Area of rectangle = 44m
height = 
area of rectangle = length X breadth
Therefore, width of the rectangle is 12m
4p^2 + 4p - 5
As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.
<em><u>List factors of -20.</u></em>
-5 * 4
5 * -4
-10 * 2
10 * -2
-20 * 1
20 * -1
<u>None of the factors added together result in positive 4.</u>
Because splitting the middle term is not possible, and we cannot simplify this expression any further:
This expression cannot be fully factored.
Answer:
11 people will get both the prizes.
Step-by-step explanation:
In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).
Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.
To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.
Therefore 11 persons out of 400 will get both the prizes.
Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.
And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.
In these divisions, consider just the quotient, here remainder is of no use.
