Answer: 453
Step-by-step explanation:
To solve the question, we have to calculate the margin of error which will be:
= (61.7% - 52.3%) / 2
= 9.4% / 2
= 4.7%
4.7% = 1 / ✓n
0.047 = 1 / ✓n
✓n = 1 / 0.047
✓n = 21.28
Square both sides to.gwt the value of n
n = 21.28²
n = 452.69
n = 453
453 residents were surveyed
(1)
10(1+3x)=-20
Cross multiply.
10+30x=-20
Isolate x on one side. So you would subtract 10 on each side. and one side will cross each other out. leaving you with,
30x=-20-10
Subtract 10 from -20.
30x=-30
Divide each side by 30 to get x.
30x÷30=-30÷30
Therefore,
x=-1
(2)
-5x-8(1+7x)=-8
Cross multiply -8(1+7x)
-5x-8-56x=-8
Isolate all x's on one side. So you would add 8 on each side. and one side will cross each other out. leaving you with,
-5x-56x=-8+8
Add 8 to -8.
-5x-56x=0
Subtract -56x from -5x
-61x=0
Divide each side by -61
-61x÷-61=0÷-61
Therefore,
x=0
To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)
14x^2-8+5x-6x^2+2x
group the x^2 (add 14x^2 to -6x^2)
8x^2-8+5x+2x
group the x's together (add 5x and 2x together)
8x^2+7x-8
Your answer will be d) 8x^2+7x-8
Volume = 10,700
V = LWH
L = 29.4
W = 16.7
H = 21.8
All we need to do is multiply them all together and then round the answer to get our final answer to the hundreds place.
V = LWH
V = 29.4(16.7)(21.8)
V = 490.98(21.8)
V = 10703.364
Then, we need to round it to the hundreds place.
V = 10,700
1 and 8 are because they are alternate exterior angles
