Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
x(x - 2) - 6(x - 2) = 0
(x - 6)(x - 2) = 0
x - 6 = 0 or x - 2 = 0
x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.
Therefore, the side length of the original square is 6 inches.
<span>Here's one --> 1000÷100=10</span>
Answer:
51 students will be accepted if 850 applicants apply for admission.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the amount of students that will be accepted if 850 applicants apply for admission given that you know that Harvard University accepts 6 students for every 100 applicants:
100 → 6
850 → x
x=(850*6)/100= 51
According to this, the answer is that 51 students will be accepted if 850 applicants apply for admission.
Answer:
D. 1.12
Step-by-step explanation:
I calculated it logically
