Answer:
V = x(24 - x)^2 cm^3.
Domain = (0, 24).
Step-by-step explanation:
a. Let the lengths of the sides of the squares be x cm.
Then the lengths of the sides of the base of the box will be (24 - 2x) cm.
The height of the box will be x cm.
So the required volume
= height * area of base
So V = x(24 - x)^2
b. The domain of this function is (0, 24).
They equal to 180 because they are supplementary angles
Answer:
A, B, E
Step-by-step explanation:
Answer:
7a+1
Step-by-step explanation:
Okay so what you are supposed to do is simplify that for your answer. How you do this is by circling the things in common. So for example "4a" and "3a" are in common, so 4a plus 3a is 7a. Now look at the next things in common which would be "-5" and "6" add those together and you get 1.
One adult ticket costs £11 and one child ticket costs £8.5
Step-by-step explanation:
Let,
Adult ticket = a
Child ticket = c
According to given statement;
3a+4c=67 Eqn 1
5a+6c=106 Eqn 2
Multiplying Eqn 1 by 5;
![5(3a+4c=67)\\15a+20c=335\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=5%283a%2B4c%3D67%29%5C%5C15a%2B20c%3D335%5C%20%5C%20%5C%20Eqn%5C%203)
Multiplying Eqn 2 by 3;
![3(5a+6c=106)\\15a+18c=318\ \ \ Eqn\ 4](https://tex.z-dn.net/?f=3%285a%2B6c%3D106%29%5C%5C15a%2B18c%3D318%5C%20%5C%20%5C%20Eqn%5C%204)
Subtracting Eqn 4 from Eqn 3
![(15a+20c)-(15a+18c)=335-318\\15a+20c-15a-18c=17\\2c=17\\](https://tex.z-dn.net/?f=%2815a%2B20c%29-%2815a%2B18c%29%3D335-318%5C%5C15a%2B20c-15a-18c%3D17%5C%5C2c%3D17%5C%5C)
Dividing both sides by 2
![\frac{2c}{2}=\frac{17}{2}\\c=8.5](https://tex.z-dn.net/?f=%5Cfrac%7B2c%7D%7B2%7D%3D%5Cfrac%7B17%7D%7B2%7D%5C%5Cc%3D8.5)
Putting c=8.5 in Eqn 1
![3a+4(8.5)=67\\3a+34=67\\3a=67-34\\3a=33](https://tex.z-dn.net/?f=3a%2B4%288.5%29%3D67%5C%5C3a%2B34%3D67%5C%5C3a%3D67-34%5C%5C3a%3D33)
Dividing both sides by 3;
![\frac{3a}{3}=\frac{33}{3}\\a=11](https://tex.z-dn.net/?f=%5Cfrac%7B3a%7D%7B3%7D%3D%5Cfrac%7B33%7D%7B3%7D%5C%5Ca%3D11)
One adult ticket costs £11 and one child ticket costs £8.5
Keywords: Linear equation, subtraction
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