16 because if you put 16 into a percentage it's 80. 16 divide 20 times 100 equal 80
Answer:
Step-by-step explanation:
{2 + 2w = l
{94 = 2w + 2l
94 = 2w + 2[2 + 2w]
94 = 2w + 4 + 4w
94 = 4 + 6w
- 4 - 4
_________
[Plug this back into both equations above to get the length of 32 feet]; 
I am joyous to assist you anytime.
Answer:
First image attached
The error was done in Step E, because student did not multiply 
by the negative sign in numerator. Step E must be 
.
Second image attached
The error was done in Step C, because the student omitted the 
of the algebraic identity 
. Step C must be 
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply by the negative sign in numerator. The real numerator in Step E should be:
Hence, Step E must be .
Second image attached
The error was done in Step C, because the student omitted the of the algebraic identity . Step C must be
And further steps are described below:
Step D
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: (
, 
, 
)
(Conjugated complex roots)
Step E
Step F
.625
take the amount of quarts divide it by 4 we get .625 then we put it was a fraction 625/1000 after we simplify we get 5/8
5/8 of a can per quart
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
