We know, a number is divisible by 9 if the sum of digits is also divisible by 9.
Also, since A is an digit, so A is in between 0 to 9.
2+A+5+A+0+A+2 = 3A + 9
3A + 9 should be divisible by 9.
3A + 9 = 9n
A = (9n -9)/3
For n= 1 :
A = 0
For n=2 :
A = 3
For n= 3 :
A = 9
After this A > 9 which is not accepted.
Therefore, the digit A can be 0, 3 and 9 .
Hence, this is the required solution.
-2x-4y = 2
-2x-4y+4y = 2+4y
-2x=4y+2
Divided by 2:
-2x/-2 = 4y +2/ -2
Answer: x=-2y-1
3x +4y =8
3x + 4y = -4y = 8+-4y
3x= -4y +8
Divided by 3
3x/3 = -4y + 8/3
x=-4/3y + 8/3
Bonus!
# of reserved seat tickets
r.
# of reserved admission ticket's
g
4r + 3g = 5792
r + g= 1787
You have know what number can be multiplied by itself to get 144. You can use a calculator or just multiply numbers till you get it. Don’t divide by two. But the answer is 12 because 12x12=144
<span>3 1/8 x 1 2/7
= 25/8 x 9/7
= 225 / 56
</span>
Answer:
0.4375
Step-by-step explanation:
Lets say that X is the random varaible that determine the arrival time of Bob and Y the random variable that determine the arrival time of Alice. Bot X and Y are Independent random variables with uniform [0,1] distribution. 15 minutes is the quarter of an hour, so we want to calculate P(|X-Y|) < 0.25.
Note that P(|X-Y| < 0.25) = P(|X-Y| < 0.25 | X ≥ Y) * P(X≥ Y) + P(|X-Y| < 0.25 | Y ≥ X) * P(Y ≥ X) = P(X-Y < 0.25 | X ≥Y) * P(X≥Y) + P(Y-X < 0.25 | Y≥X)*P(Y ≥ X).
For a simmetry argument, that expression is equivalent to 2*P(Y-X < 0.25 | Y≥X)*P(Y ≥ X) = 2*P(0 < Y-X < 0.25). The region 0 < Y-X < 0.25 is, for X between 0 and 0.75, a parallelogram, of base 0.75 and height 0.25, and for X between 0.75 and 1, it is a Triangle of base and height equal to 0.25. Therefore P(0 < Y-X < 0.25) = 0.25*0.75 + 0.25² * 0.5 = 7/32. Hence 2*P(0 < Y-X < 0.25) = 14/32 = 0.4375.
They will meet for lunch with probability 0.4375