The statements that are true about the volume of the greenhouses are: B and E.
<h3>What is the Volume of Rectangular Prism and Pyramid?</h3>
Volume of rectangular prism = (length)(width)(height)
Volume of rectangular pyramid = 1/3(length)(width)(height)
Volume of Greenhouse 1 = volume of rectangular prism + volume of rectangular pyramid = (12)(12)(10) + 1/3(12)(12)(8) = 1,824 m³
Volume of Greenhouse 2 = volume of rectangular prism + volume of triangular prism = (12)(12)(10) + 1/2(12)(8)(12) = 2,016 m³
Difference between the spaces in both greenhouses = 2,016 - 1,824 = 192 m³
Therefore, the true statements about the greenhouses are: Option B and Option E.
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Answer:
S = 20 + 0.5*x (S is the total bill, x is the number of text messages)
Step-by-step explanation:
The cell phone company have a fixed value you have to pay every month, independently of the number of text messages you send, and that is $20.
For each text message, you pay an additional %0.50.
So, if you send 'x' text messages in a month, you will pay the fixed $20 plus $0.5 for each text messages: you will pay 0.5 times x for the messages.
So, we can formulate the following equation:
Being "S" the total price you will pay:
S = 20 + 0.5*x
Answer:
2.) Infinitely many solutions
3.) No solutions
Step-by-step explanation:
To solve systems of equations graphically, you need to find where they intersect
2.) First put each equation in the form y=mx+b
x-y=6 -> y= x-6
2x=12+2y -> y= x-6
Then, graph each line
Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.
To check, plug a point in from the graph into both equations and you should get 0=0
3.) First put each equation in the form y=mx+b
1/2x-y=4 -> y=1/2x-4
2y=x+6 -> y=1/2x+3
Then, graph each line
Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.
To check your answer, you would one equation as the y in the other equation.
2(1/2x-4)=x+6, then solve for x
Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!
Answer:
3,6
Step-by-step explanation:
Find the average of the list of numbers.
- 18, - 29, - 17, - 12