Answer:
Step-by-step explanation:
Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.
2x5 is the same as 5x2
Answer:
7 : 5
Step-by-step explanation:
let the age of the younger be x , then the older is x + 18, thus
x + x + 18 = 108, that is
2x + 18 = 108 ( subtract 18 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
Thus younger is 45 and older is 45 + 18 = 63
ratio older : younger = 63 : 45 = 7 : 5
(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
100 - 2x = 13 + x
add 2x to both sides
100 -2x + 2x = 13 + x + 2x
100 = 13 + 3x
Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x
(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio
Answer:9
Step-by-step explanation:
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 135
135 = 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
GCF = 9