Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
No because 101 is prime. Square roots of primes are always irrational. If they weren't, you could write sqrt(101) as some a/b and a²/b² would be 101. Then b² would be a divisor of 101 and 101 wouldn't be prime. That contradicts.
Answer:
Step-by-step explanation:
Apply radical rule :
Factor out common term :
Rewrite 98, 72 and 18:
Factor out common term :
Answer:
Step-by-step explanation:
5*5*5*2
The number must end in 2 or 4.
1 3 and 5 will give you an odd number if either is at the end.
The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.
You can choose any one of 1 to 5 for the first place.
1 to 5 in the second place independent of what you choose for the first place.
The only thing restricting you is the last place. It must be 1 of 2.
I suppose you could use 2P1 for that.
5 * 5 * 5 * 2P1
Answer:
8.5 min
Step-by-step explanation:
Here, distance = rate times time. The rate is 10 in/min, and so
d = (10 in/min)t.
If the snail travels 85 in, then 85 in = (10 in/min)t, and we solve for t as follows:
t = (85 in) / (10 in/min) = 8.5 min