PLEASE HELP ME 9. A water pail in your backyard has a small hole in it. You notice that it has drained a total of 3.5 liters in 4 days. What is the average change in water volume each day?

10. The price of one share of ABC Company declined a total of $45.75 in 5 days. What was the average change in the price of one share per day?

11. To avoid a storm, a passenger-jet pilot descended 0.44 miles in 0.8 minutes. What was the plane’s average change of altitude per minute?

9-11 below

Step-by-step explanation:

9. Well, we're given that the hole drains color(red)(3.5color(white)(l)"L" in color(green)(4color(white)(l)"d", so we can write the rate as

(color(red)(3.5color(white)(l)"L"))/(color(green)(4color(white)(l)"d"))

Now we perform this division, and afterward the denominator will be 1 and thus it will tell us the number of liters drained per day:

(color(red)(3.5color(white)(l)"L"))/(color(green)(4color(white)(l)"d")) = color(blue)(ulbar(|stackrel(" ")(" "(0.875color(white)(l)"L")/(1color(white)(l)"d")" ")|)

Therefore, color(blue)(0.875color(white)(l)"liters" are drained every day on average.

10. $

9.25

decrease per day

Explanation:

We can divide the total price decrease by the number of days it took to reach that decrease to find the average decrease per day:

$

45.75

5

=

$

9.25

decrease per day

11. The average change of altitude per minute would simply be the ratio of distance descended over time. That is:

average change of altitude = distance / time

average change of altitude = 0.44 mile / 0.8 minutes

average change of altitude = 0.55 mile / minute

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.