Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.
Possible perfect squares are the squares of integers 2-9.
In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.
Tabulate the number (in [ ])of integers containing factors of
2^2=4: 4,8,12,16,...96 [24]
3^2=9: 9,18,....99 [11]
5^2=25: 25,50,75 [3]
7^2=49: 49,98 [2]
So the total number of integers from 1 to 99
N=24+11+3+2=40
=>
Number of positive square-free integers below 100 = 99-40 = 59
To turn 32/64 into a percent, you have to divide the numerator by the denominator and then multiply the answer by 100.
So, for this question, divide 32 by 64 which is 0.50. Multiply this decimal by 100 and you get 50.
So 50% is the percent for 32/64.
Hope it helps :)
Answer:
(x+3)(x-5)
Step-by-step explanation:
find two multiples of -15 that when added together create -2
those two numbers would be -5 and +3
-5x3=-15
-5+3=-2
Answer: B) (-x, y)
<u>Step-by-step explanation:</u>
If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.
Consider (1, 2) as the original point. Now reflect it across the y-axis. The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).
Answer:
c. 2520
Explanation:
Repetition is not allowed, therefore:
1st digit can be any of the given 7 numbers
2nd digit can be any of the remaining 6 numbers
3rd digit can be any of the remaining 5 numbers
4th digit can be any of the remaining 4 numbers
5th digit can be any of the remaining 3 numbers
This means that:
number of possible combinations = 7 * 6 * 5 * 4 * 3 = 2520 numbers
Hope this helps :)
