Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.
Step-by-step explanation:
You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put 
pounds into it.
Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his feeder with 4 pounds of birdseed.
Keeping on mind the data provided in the exercise, you can set up de following proportion:
Finally, you must solve for "x" in order to find its value.
You get that this is:
Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Step-by-step explanation:
The sum of two cubes has two factors:
1. The first factor is ![\sqrt[3]{1st}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1st%7D)
+ ![\sqrt[3]{2nd}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2nd%7D)
2. The second factor is ( )² - ( ) ( ) + ( )²
Ex: The expression a³ + b³ is the sum of 2 cubes
The factorization of a³ + b³ is (a + b)(a² - ab + b²)
∵ The expression is 343x³ + 216y³
∵ ![\sqrt[3]{343x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B343x%5E%7B3%7D%7D)
= 7x
∵ ![\sqrt[3]{216y^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216y%5E%7B3%7D%7D)
= 6y
∴ The first factor is (7x + 6y)
∵ (7x)² = 49x²
∵ (7x)(6y) = 42xy
∵ (6y)² = 36y²
∴ The second factor is (49x² - 42xy + 36y²)
∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Learn more:
You can learn more about factors in brainly.com/question/10771256
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When looking at probabilities, two ideas are always true.
1) Any probability is more than 0.
2) The sum of all the probabilites is 1.
Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then
3/10 + 1/5 + O = 1.
3/10 + 2/10 + O = 1
5/10 + O = 1
O = 5/10
Thus, the probability of an orange jelly bean is 5/10 = 1/2.
To add the two expressions, we can write it as:
4.6x-3 + (-5.3x+9)
We can distribute the plus sign (which means just drop the parenthesis in this case):
4.6x-3-5.3x+9
Now, we can simplify by combining like terms:
-0.7x+6
