Step-by-step explanation:
2/x + 3 = 1/x
2/x - 1/x = -3
1/x = -3
1 = -3x
x = 1/(-3) = -1/3
Answer: I believe that it might be $1.00
Step-by-step explanation: Well the problem doesn’t tell you how much money he HAD, so if you do 1/3+4/6 you should get 6/6 or 1 as the amount that Lane had.
Thickness of the plate before polishing = 2.342
Thickness of the plate after polishing. = 2.087
How much was removed = 2.342- 2.087 = 0.255
Hence , the answer 0.255 which is option B
Answer:
288 cm³
Step-by-step explanation:
The volume (V) of the triangular prism is
V = area of triangular base × height
area of base =
× 6 × 8 = 24 cm², hence
V = 24 × 12 = 288 cm³
<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
<h3>Explanation:</h3>
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³