Answer:
34 cups
Step-by-step explanation:
just multiply the value in quarts by the conversion factor 4. So, 8.5 quarts times 4 is equal to 34 cups
Answer: A popcorn costs $9
Step-by-step explanation:
Let popcorn be represented by p
Let drinks be represented by d.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75
Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138
p + 3d = 36.75 ........... i
3p + 12d = 138 ............ ii
Multiply equation i by 3
Multiply equation ii by 1
3p + 9d = 110.25 ....... iii
3p + 12d = 138 ............ iv
Subtract equation iv from iii
-3d = -27.75
3d = 27.75
Divide both side by 3
d = 9.25
A drink cost $9.25
From equation i
p + 3d = 36.75
P + 3(9.25) = 36.75
P + 27.75 = 36.75
P= 36.75 - 27.75
P= $9
A popcorn cost $9
216x-6x=1
210x=1
x= 1/210
x= 0.00476
Answer: (x + 7)(x - 7)
Explanation: If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.
Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.
In the first position will be the factors of x² that are the same.
So we have <em>x</em> and <em>x</em>.
In the second position we will have the
factors of 49 that are the same, 7 and 7.
(x + 7)(x - 7) is your answer which is a factored version of x² - 49.
