1 pound = 16 ounces
So we have 85 lbs and 2 oz, that is if we convert them to ounces:
85(16) + 2 = 1362 oz
so we have 1362 oz total due to the conversion factor stated above, now we only need to divide:
1362/6 = 227
that is 227 oz
or if we want the result in pounds (lbs), we can by dividing again by 16
227/16 = 14.19 lbs
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 :)
3. A
4.B
5.B
Very happy to help you!
Answer:
(x-9)(x²+9x+81); it'll give a difference of cubes
Step-by-step explanation:
Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.
*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.
