Answer:
The liters that the tank will contain at 5:11 PM that day are:
Step-by-step explanation:
Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:
- 19,140 L - 8,097 L = 11,043 L
And the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:
- Outlet flow =
- Outlet flow =
- Outlet flow = 613.5
Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:
- Outlet flow =
- Volume = Outlet flow * time
And replace the values to obtain the new volume pumped:
- Volume = 613.5 * 6 min
- Volume = 3681 L.
At last, you must subtract these liters from the last volume identified in the tank:
- New Volume in the tank = 8097 L - 3681 L
- New Volume in the tank = 4416 L
The volume in the tank at 5:11 PM is <u>4416 Liters</u>.
Part A)
Section A : 4
Section B : 36
Part B) 9 times
because exponential function grows faster with larger x
The unit for area is unit^2. You area for a rectangle is one of the easiest formula in math. A = LW
There’s a few ways to do this. But you essentially want to find the area for each rectangle and add them together.
We can do the two rectangles on the left, bedroom 1 and 3, by doing 3.5 x (4.25+3.75) = 31.5 in^2
Now do bedroom 2, we have to do 7.5 - 3.5 to get the width of the room since it wasn’t given directly. The width is 4 and we have the length of 3.5. Do 4 x 3.5 to get 14 in^2
31.5 + 14 = 45.5 in^2
We’re not done yet because they want it in ft^2 and we’re given 1 inch = 4 feet
Just do 45.5 x 4 to get 182 ft^2
Let x be the unknown number of years.
Let C be Chris' age and J be Jenny's age.
Then J+x = 2(C+x)-7
... describes this situation.
4+x = 2(2+x) - 7
4+x = 4 + 2x - 7
x = 2x -7 becomes 7=x
In 7 years, Jenny will be 7 years younger than twice Chris' age.
Check: Is this true? 4+7 = 2(2+7)-7
11 = 18-7, or 11=11 TRUE
Volume of the flour = 2 3/4
Volume of the sugar = 13/8
Volume of the butter = 1/2
Total volume
2 3/4 + 13/8 + 1/2
11/4 + 13/8 + 1/2
(22+13+4) / 8
39 / 8
4 7/8
