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.
9514 1404 393
Answer:
(x, y, z) = (90, 75, 105)
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.
(x -15) +(x +15) = 180
2x = 180
x = 90
Angles y and (x-15) are opposites, so ...
y = x -15 = 90 -15 = 75
Similarly, for z ...
z = x +15 = 90 +15 = 105
The values of x, y, and z are 90, 75, and 105, respectively.
Answer:
The first one:
Equation n+(n+1) +(n+2)=36
3n+3=36
the numbers are 11, 12,13
Step-by-step explanation:
So if you plug ll for n you get 36
So if you plug 12 in for in u get 39
Then in you plug 13 in for n u get 41
I hoped that helped
