Answer:
Pipe Q
Step-by-step explanation:
Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals n = 6t shows the number of gallons of water n with which pipe Q fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much
Solution:
Pipe P fills the tank with 20 gallons of water in 4 minutes. If n represent the number of gallons of water that fills the tank in t minutes, then for pipe P:
n = 20 gallons / 4 minutes *t
n = 5t
Also, the number of gallons of water that fills the tank in t minutes for pipe Q is given by:
n = 6t
Since the rate at which pipe Q fills the tank (i.e. 6t) is greater than the rate at which pie P fills the tank (i.e. 5t), hence Pipe P fills the tank with more water each minute by 6 gallons while pipe P fills by 5 gallons each minute.
Answer:
(4,4)
Step-by-step explanation:
ANSWER
EXPLANATION
We use the method of completing the squares.
The equation is
We rewrite the above equation to obtain;
We divide through by 3 to obtain;
We add half the coefficient of
to both sides of the equation to get,
The right hand side is now a perfect square.
We now take square root of both sides to get;
We add -2 to both sides,
We simplify to obtain,
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Answer:
1512 cm³
Step-by-step explanation:
Formula
Volume of right rectangular prism = Length × Breadth × Height
As given
Two blocks of wood are shaped as right rectangular prisms.
The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.
As given
The dimensions of the larger block are double the dimensions of the smaller block.
Length of the larger block = 2 × Length of the smaller block
= 2 × 9
= 18 cm
Breadth of the larger block = 2 × Breadth of the smaller block
= 2 × 3
= 6 cm
Height of the larger block = 2 × Height of the smaller block
= 2 × 7
= 14 cm
Put in the formula
Volume of larger wooden block = 18 × 6 × 14
= 1512 cm³
Therefore the volume of the wooden block is 1512 cm³ .
