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:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
Answer:
32
Step-by-step explanation:

Since A (area of circle = C) is given = 148
Where we assume:
Y represents radius of the circle (r)
X represents diameter of the circle (D)
Pi (π) = 3.14
A = 2 * π * y
148 = 2 * 3.14 * y
148 = 6.28 * y
y = 148/6.28
So, y = 23.56
D = 2 * y
D = 2 * 23.56
So, D = 47.12
Assume A is unknown (not given as 148)
A = π * y^2
A = 3.14 * (23.56)^2
A = 3.14 * 47.12
So, A = 147.95 (approx. A = 148)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A dotted line passes through two points (3, 1) and (-3, -3)
Let the equation of the given line is,
y = mx + b
where 'm' = slope of the line
b = y-intercept
Slope of a line passing through
and
is,
m = 
For the given points,
m = 
m = 
y-intercept 'b' = -1
Therefore, equation of the given line will be,

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)
And the shaded part is below the dotted line,
Inequality will be,
y < 
Therefore, Option (4) will be the answer.