Please answer this.

Step-by-step explanation:

   45=5*3^2

    75=5^2*3

1.  LCM=product of the common and uncommon prime factors  at the biggest   power

LCM=3^2*5^2=9*25=225

2. HCF= product of the common prime factors at the lowest power

HCF=3*5=15

3. 10*x-3

4. 6^2-7^2=36-49=-13

5. I. K=4-1=3 drinks

    II. Total=4+3=7 drinks

6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm

Step-by-step 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

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: