Answer:
3 gallons of orange juice
X^2 - x = 7
(x - 0.5)^2 - 0.25 = 7
(x - 0.5)^2 = 7.25
(x - 0.5) = +/- sqrt 7.25
x = 0.5 +/- sqrt7.25
solution set is {-2.19, 3.19,}
I believe your answer is 8.
Three times a number less than twice the number and nine is seventeen can be written as: 3n - 2n + 9 = 17
Solve for n as follows:
3n - 2n = n
n + 9 = 17
17 - 9 = 8
Hope this helps! :)
W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
Answer:
The correct option is;
Yes, his calculations are correct and the volumes for figures are equal
Step-by-step explanation:
The volume, V, of a square (of side s) pyramid of height h = 
Where:
s = 9.7 inches
h = 9 inches
We have;
The volume, 
, of a cylinder of radius r = Base area × Height, h = (π×r²)×h
Where:
Base area = π×r²
r = Radius of the cylinder = 5.47 inches
h = Height of the cylinder = 3 inches
= π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³
Therefore, Jude is correct.
