Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
Problem 1
1 ft = 12 inches
2 ft = 24 inches (multiply both sides by 2)
Multiply by 1/3 to get (1/3)*24 = 24/3 = 8
<h3>Answer: 8 inches</h3>
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Problem 2
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
1 ft = 12 inches
9 ft = 108 inches (multiply both sides by 9)
so overall, 3 yards = 108 inches
Multiply this by 1/6
(1/6)*(108 inches) = 108/6 = 18 inches
<h3>Answer: 18 inches</h3>
note: 18 inches = 12 inches + 6 inches = 1 ft, 6 inches = 1.5 ft
Yes because everything cancels out
(1.2 x 105)2 + (3.11 x 1010) = 3393.1
