Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
Answer:
84.8 in³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
The volume Mary will be filling will be 3/4 of the 9-inch height of the vase, so is ...
V = π(2 in)²(3/4·9 in) = 27π in³ ≈ 84.8 in³
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<em>Comment on the answer</em>
In more conventional units of measure, that is very nearly 3 pints of water.
Answer:
41/24
Step-by-step explanation:
If you are graphing quadratic equations of the type
ax^2 + bx + c = 0
The equation will look like a "U" <span>if "a" is positive </span>or it will look like an upside-down "U" <span>if "a" is negative </span>
The base is 16 and height of each triangle is 2
