The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25
To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:
4P + 6C = 46.50
P + C = 9.75
There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.
I’m going to multiply the second equation by 4:
4P + 4C = 39
Now we can subtract this for, the first equation:
4P + 6C = 46.50
4P + 4C = 39
2C = 7.50
C = 3.75
Now we can substitute this value of C into one of the equations to find P:
P + C = 9.75
P + 3.75 = 9.75
P = 6
And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25
I hope this helps! Let me know if you have any questions :)
Step-by-step explanation:
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Answer:
x=40
Step-by-step explanation:
Because every triangle's angles add up to 180 degrees, you know 3x+x+20=180. Since 3x and x are like terms, you can add them to get 4x. 20 and 180 are also like terms. However, to move your 20 to the side of 180, you need to subtract it. So you have 4x=160. To get x by itself, you divide 4x and 160 by 4. 4x/4 is x, and 160/4 is 40. So your answer is x=40.
Answer:
35 points
Step-by-step explanation:
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