Answer:
Explanation:
LCM of two numbers is the smallest number that is evenly divisible by the two numbers
1) 45 = 3 * 3 * 5 = 3² * 5
75 = 3 * 5 * 5 = 3 * 5²
LCM = 3² * 5² = 9 *25 = 225
LCM = 225
2) HCF of two numbers is the greatest number which divides each of them exactly.
HCF of 45 and 75 = 3*5 = 15
HCF = 15
3) 10x - 3
4) m² - n² = 6² - 7²
= 36 - 49
= -13
m² - n² = -13
When two numbers are in different sign, subtract and the result will have the sign of the bigger number.
5)a) Kate prepared (4-1) 3 drinks
b) Total volume of drinks = 4 + 3 = 7