Answer:
4
Step-by-step explanation:
81 = 3^4
apply the log rule
Answer:
m+1
Step-by-step explanation:
1/3(9 - 6m) + 1/4 (12m-8)
Distribute
1/3 *9 - 1/3 *6m + 1/4 * 12m - 1/4 *8
3 -2m + 3m -2
Combine like terms
-2m+3m +3-2
m+1
12x - 18 - 4x -2
12x - 4x = 8x (yours 12x - 4x = 8)
-18 - 2 = -20 (yours -18 -1 = 17)
answer:
8x - 20
Answer:
2400 in^3
Step-by-step explanation:
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?
the capacity of the tank can be determined by calculating the volume of the tank
volume of a prism = length x width x height
20 x 10 x 12 = 2400 in^3
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 :)
