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AleksAgata [21]
3 years ago
11

Factoring polynomial and expanding

Mathematics
1 answer:
Vlada [557]3 years ago
5 0
I would say 112x + 128x
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At the movies, a couple bought 2 medium drinks and a large popcorn for
LuckyWell [14K]
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50

From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25

4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75

Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75
7 0
3 years ago
Suppose that a local trout population exhibits exponential growth by doubling every 4 years. Considering that the initial popula
antoniya [11.8K]
Okay, so this is just a basic multiplication problem. first, we need to divide to figure out how much the trout population grows after 1 year. If it doubles in 4 years, then it will rise by a quarter each single year. So to put that in terms of fractions, then for every year, the equation would be 250x1/4. So then we do the equation, coming up with 62.5. This means that the population rises roughly 63 fish a year. So after 1 year, you will have roughly 313 fish. (312.5 to be exact). Then to get that by ten years, we can just multiply the number that we got for one year by ten. 62.5x10=625. So then we add the 250 original trout, and 250+625=875. So after 10 years, there will be 875 trout.
8 0
3 years ago
The manager of a bookstore ordered 480 copies of a book. The manager paid a total of $7,440 for the books. The books arrived at
alexdok [17]

<span>There are lots of given in this certain item and we are to note that other given are just there to distract us. In order to answer the question, what we really need from the given is that there are 480 copies of books and they arrived in 5 cartons. To determine the number of books in each carton, we just have to divide 480 by 5 which gives us an answer of 96. </span>

5 0
3 years ago
Read 2 more answers
Evaluate the expression.
chubhunter [2.5K]

um is this all one equation?

like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?

4 0
2 years ago
Could someone please explain?
Firdavs [7]

Square the two smallest values and then add them together. If they are greater than the square of the largest number in the set, than it is obtuse. If smaller it is acute. If it is the same it is a right triangle.

5 0
3 years ago
Read 2 more answers
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