There are 16 cups in a gallon. Divide 100 into 16 to get 6.25. You now just multiply 3.12 by 6.25 to get 19.5. Your answer is $19.50. Hope this helps!
Answer:
10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−5=
1
2
x+2x
3x+−5=
1
2
x+2x
3x−5=(
1
2
x+2x)(Combine Like Terms)
3x−5=
5
2
x
3x−5=
5
2
x
Step 2: Subtract 5/2x from both sides.
3x−5−
5
2
x=
5
2
x−
5
2
x
1
2
x−5=0
Step 3: Add 5 to both sides.
1
2
x−5+5=0+5
1
2
x=5
Step 4: Multiply both sides by 2.
2*(
1
2
x)=(2)*(5)
x=10
Since you haven't identified this figure, I'm going to assume that it's a rectangle.
The Perimeter of a rectangle of length L and width W is P = 2L + 2W.
Here you are given the Perimeter and the length, and are to find the width, W.
Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get
P
-- - L = W
2
Substitute P= 6 yds and L = 6 feet (or 2 yds), find W (in yards).
Answer:
-4
Step-by-step explanation:
[√2(cos(3π/4) + i sin(3π/4))]⁴
(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴
4 (cos(3π/4) + i sin(3π/4))⁴
Using De Moivre's Theorem:
4 (cos(4 × 3π/4) + i sin(4 × 3π/4))
4 (cos(3π) + i sin(3π))
3π on the unit circle is the same as π:
4 (cos(π) + i sin(π))
4 (-1 + i (0))
-4
