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.
Answer:
i think c.
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
Angle A is congruent to angle E; and BC=FD.
Explanation:
For ASA, we want two angles and an included side of one triangle congruent to two angles and an included side of the other triangle. The sides we have marked are AC and DE; the angles already marked congruent are C and D. In order to be ASA, the other angle must be on the other side of the congruent side; this means that we have angles A and E.
For SAS, we want two sides and an included angle of one triangle congruent to two sides and an included angle of the other triangle. We have angles C and D congruent and sides AC and DE congruent. In order to be SAS, the other side must be on the other side of the congruent angle; this means we have sides BC and FD.
Answer:
1. 53 2. 21
Step-by-step explanation:
<h2><u><em>
Big fat guess</em></u></h2>
The answer is y=64 because when you multiply 4 to both sides you get 192 and then you divide that by three to get 64