----------------------------------------------------
Define x:
----------------------------------------------------
Let the number of hours be x.
----------------------------------------------------
Construct inequality:
----------------------------------------------------
37 + 6.7x < 97.30
----------------------------------------------------
Solve x:
----------------------------------------------------
37 + 6.7x < 97.30
----------------------------------------------------
Take away 37 from both sides:
----------------------------------------------------
6.7x < 60.30
----------------------------------------------------
Divide by 6.7 through:
----------------------------------------------------
x < 9 hours
If the club wants to spend less than $97.30, they need to rent the place for less than 9 hours. A possible amount of time will be 8 hours.
Answer is .325 hope it helps
Hello!
Interval notation is written using brackets or parentheses. Brackets mean that the value of the corresponding side is equal to the function. Parentheses are the opposite of brackets in this case, and it is not part of the equation.
I will post the graph of this equation below.
Therefore, the domain of this equation in interval notation is (-∞, 6/7).
Note that it is parentheses not brackets. The graph does not go past 6/7, and infinity is not a number, it is a concept.
2, 2 is the answer you should come up with
Answer:
The height of the tank in the picture is:
Step-by-step explanation:
First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:
- <em>1 liter = 1000 cm^3</em>
So:
- <em>1.2 liters = 1200 cm^3</em>
Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:
- Volume of a cube = long * wide * height
Now, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
- Height = 1200 cm^3 / (12 cm * 8 cm)
- Height = 1200 cm^3 / (96 cm^2)
- Height = 12.5 cm
Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:
- Heigth of the tank = Height empty zone + height zone with water
- Heigth of the tank = 12.5 cm + 7 cm
- <u>Heigth of the tank = 19.5 cm</u>
In this form, <u>we calculate the height of the tank in 19.5 cm</u>.
