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
Answer:
The percentage of paycheck Joan saves is 5% .
Step-by-step explanation:
Given as :
The paycheck that Joan gets each months = x = $1,000
The money that Joan saves from each paycheck = y = $50
Let The percentage of paycheck Joan saves = z%
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<u>Now, According to question</u>
The percentage of paycheck Joan saves =
× 100
Or, z =
× 100
Or, z =
× 100
Or, z = 5%
So, The percentage of paycheck Joan saves = z = 5%
Hence,The percentage of paycheck Joan saves is 5% . Answer
Answer:
ok thanks :)
Step-by-step explanation:
Answer:
<u><em>6 quarts</em></u>
Step-by-step explanation:
60% 3 gallons = 1.8 gallons of broth
water = 0% broth
1.8=1.2+0.4x
0.6=0.4x
x=1.5
1.5 gallons = 6 quarts
3x-7y=2 ; 3x=2+7y x=2x+7y/3