Answer:
6d + 10p = 118.50
2d + 2p = 27.50
drink = $4.75
Step-by-step explanation:
You can solve the system of equations above by using the elimination method. This method involves using positive and negative coefficients of one variable to eliminate it from the equation and solve for the remaining variable. Since you are going to be adding the systems together, you need to multiply one of the equations by a negative factor to eliminate one of the variables.
Multiply by a factor of '-3': -3(2d + 2p = 27.50) = -6d - 6p = -82.50
Add the system: 6d + 10p = 118.50
+ <u> -6d - 6p = -82.50</u>
4p = 36 or p = $9 for popcorn
Since we are solving for the cost of a drink, we can put in the value of $9 for the variable 'p' and solve for 'd':
2d + 2(9) = 27.50 or 2d + 18 = 27.50
Subtract 18 from both sides: 2d + 18 - 18 = 27.50 - 18 or 2d = 9.50
Divide and solve for 'd': 2d/2 = 9.50/2 or d = $4.75
I have to see the question in order to answer
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.
40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed
6400-1200=5200cm^3 of water
(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)
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Answer:
86 Feet
Step-by-step explanation:
Total of feet before cutting off: 102 ft
8 x 12.75 = 102 ft
8 x 2 = 16
102 - 16 = 86
OR
12.75 - 2 = 10.75
8 x 10.75 = 86