Answer:
$87.50
Step-by-step explanation:
first minus the number of minutes he doesn't have to pay
400 - 150 = 250
then times the number of leftover minutes by how much it costs a minute ($.35 because 35¢ is equal to $.35)
250 × $.35 = $87.50
that's how much.
Answer:
m=3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Pull out like factors :
-4m + 12 = -4 • (m - 3)
Add 3 to both sides of the equation :
m = 3
4m^2-20mn+25n^2, a perfect square trinomial
Answer:

Step-by-step explanation:
From similar triangles, see diagram in attachment

We solve for
to obtain,

The formula for calculating the volume of a cone is

We substitute the value of
to obtain,

This implies that,

We now differentiate both sides with respect to
to get,

We were given that water is drained out of the tank at a rate of 
This implies that
.
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means
.
We substitute this values to obtain,




Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 9 = 7x + 9 ( subtract 7x from both sides )
2x - 9 = 9 ( add 9 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72
MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72