Answers: 1

Hi,

Welcome to my first HOTS Questions answer port. This set is applicable for answers for Post 4-5.

Simple Math Post: Linear Equations

1. 5(x-3)=10

(5(x-3))÷5=10÷5=2

x-3+3=2+3=5

x=5

2. 10-3(a+13)=a-9

10-3(a+13)-10=a-9-10=a-19

(-3(a+13))=(a-19)

-3a-39=(a-19)

-3a-39-a=a-19-a

-4a-39=-19

-4a-39+39=-19+39=20

a=20÷-4=-5

3. 9y+1=6y

9y+1-6y=6y-6y

3y+1=0

3y=0-1=-1

y=-1/3

4. 8(10+x)-6=10

8(10+x)-6+6=10+6=16

8(10+x)=16

10+x=16÷8=2

10+x-10=2-10=-8

x=-8

Simple Math Post: Decimals and Fractions

1.  (45/49)×(7/9)÷(((6/10)+(2/3))-((5/6)-(7/9)))

45÷9=5, 49÷7=7

(45/49) × (7/9)=5/7

Then,

LCM of 10 and 3 is 30

So,

((6×3)/(10×3))+((2×10)/(3×10))=18/30 + 20/30=38/30

Then,

LCM of 6 and 9 is 18

S0,

((5×3)/(6×3))-((7×2)/(9×2))=15/18 – 14/18=1/18

Then,

LCM of 18 and 30 is 90

So,

((38×3)/(30×3)) – ((1×5)/(18×5))

114/90 – 5/90= 109/90

Then,

5/7 ÷ 109/90

5/7 × 90/109

=

450/763

2. 0.978 × 9.7512

978 × 97512=95366736

0.978 × 9.7512=9.5366736

3. 0.08624÷0.22

(0.08624×100)÷(0.22×100)

8.624÷22=0.387