Question

4(p + 73) = 400

15 = 9n/3

r-6/3 = 8

1 = n + 12/20

please show work and check also the / means it is a fraction

Answer 1

Those are four equations for solving.

1) 4(p + 73) = 400


i) division property of equalities → p + 73 = 100
ii) subtraction propery of equalities → p = 27

Answer: p = 27


2) 15 = 9n/3


i) fraction simplification → 15 = 3n
ii) division property of inequalities → 5 = n

Answer: n = 5


3) r - 6/3 = 8


i) fraction simplification → r - 2 = 8
ii) addition property of equalities → r = 10

Answer: r = 10

4) 1 = n + 12/20


i) fraction simplification → 1 = n + 3/5
ii) subtraction property of equalities → 1 - 3/5 = n
ii) subtraction of fractions → 2/5 = n

Answer: n = 2/5

Answer 2

1) 4(p+73)=400
Dividing both sides of the equation by 4:
4(p+73)/4=400/4
p+73=100
Subtracting 73 both sides of the equation:
p+73-73=100-73
p=27

Answer: p=27

2) 15=9n/3
15=3n
Dividing both sides of the equation by 3:
15/3=3n/3
5=n
n=5

Answer: n=5

3) r-6/3=8
r-2=8
Adding 2 both sides of the equation:
r-2+2=8+2
r=10

Answer: r=10

4) 1=n+12/20
Simplifying the fraction dividing numerator and denominator by 4:
1=n+(12/4)/(20/4)
1=n+3/5
Subtracting 3/5 both sides of the equation:
1-3/5=n+3/5-3/5
1-3/5=n
5/5-3/5=n
(5-3)/5=n
2/5=n
n=2/5

Answer: n=2/5