To find ( x ), we set up the equation for the average: ( \frac{3 + x}{2} = 5 ). Solving this gives ( 3 + x = 10 ), so ( x = 7 ). For ( y ), we set up ( \frac{5 + y}{2} = 7 ), leading to ( 5 + y = 14 ), so ( y = 9 ). The average of ( x ) and ( y ) is ( \frac{7 + 9}{2} = 8 ).
The prime factors of 525 are: 3 x 5 x 5 x 7
2 x 3 x 7 x 25 2 x 5 x 7 x 15 5 x 5 x 6 x 7 3 x 5 x 5 x 14 3 x 5 x 7 x 10 2 x 5 x 5 x 21 2 x 3 x 5 x 35
x=5
3 = 1 x 3 5 = 1 x 5 7 = 1 x 7 GCF = 1
x = -6 x/-3 + 5 = 7 x/-3 = 2 x = -6
If the average of 3 and x is 5, and the average of 5 and y is 7, what is the average of x and y?
Prime factors are 3, 3, 5, 5, 7 Others are combinations of the prime factors, i.e. 3 x 3 = 9 3 x 5 = 15 3 x 7 = 21 5 x 5 = 25 5 x 7 = 35 3 x 3 x 5 = 45 3 x 3 x 7 = 63 3 x 5 x 5 = 75 3 x 5 x 7 = 105 5 x 5 x 7 = 175 3 x 3 x 5 x 5 = 225 3 x 3 x 5 x 7 = 315 3 x 5 x 5 x 7 = 525
A question of prime factors... The answer is 2 x 2 x 3 x 5 x 7 = 420 2 x 2 x 3 x 5 x 7 gives us a factor of 2... 2 x 2 x 3 x 5 x 7 and of 3... 2 x 2 x 3 x 5 x 7 and of 4... 2 x 2 x 3 x 5 x 7 and of 5... 2 x 2 x 3 x 5 x 7 and of 6... 2 x 2 x 3 x 5 x 7 and of 7.
The prime factors of 525 are: 3 x 5 x 5 x 7
1575 = 3 x 3 x 5 x 5 x 7 = 32 x 52 x 7
3^3 x 5^2 x 7
3 x 5 x 5 x 7
3 x 175 5 x 105 7 x 75 15 x 35 21 x 25 3 x 5 x 35 3 x 7 x 25 5 x 7 x 15 5 x 5 x 21 3 x 5 x 5 x 7
35 = 5 x 7 105 = 5 x 7 x 3 175 = 5 x 7 x 5 gcf = 5 x 7 x 3 x 5 = 105 x 5 = 525
105 = 3 x 5 x 7441 = 3 x 3 x 7 x 7The LCM is the lowest number that has all of the factors of each of the given numbers (each, not all), so...LCM = 3 x 3 x 5 x 7 x 7 = 2205
The prime factors of 1365 are: 3 x 5 x 7 x 13
2 x 3 x 7 x 25 2 x 5 x 7 x 15 5 x 5 x 6 x 7 3 x 5 x 5 x 14 3 x 5 x 7 x 10 2 x 5 x 5 x 21 2 x 3 x 5 x 35