Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
Answer:
10 students/van
48 students/bus
Step-by-step explanation:
(a) 13v+5b = 370
(b) 12v+10b = 600
(a) - (b)
v -5b = -230
v = 5b-230
12(5b-230) + 10b = 600
60b+10b -2760=600
70b=3360
7b=336
b=48
v = 5(48) - 230 = 10
v = 10
Let's check
12(10) +10(48) = 600
Answer:
true
Step-by-step explanation:
a rhombus always has opposing parallel sides, qualifying it as a parallelogram
Answer:
A. 5.2
Step-by-step explanation:
I was taught how to do this using the SOH CAH TOA method.
Step 1: Circle your given angle.
Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.
Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.
Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.
Step 5: Set up the equation. The equation is 
. We will use sine of the given angle is equal to the side marked O over the side marked H.
Step 6: Solve for x until x is by itself, then enter into your calculator.
You will enter 
into your calculator and round if necessary.
