Answer:
12 should be 41
Step-by-step explanation:
12) the pattern is an increase by 5 each time. This would mean the 8th term is 40. However, it starts at 1, so you should add 1 to this answer, making it 41. This pattern is y=5x+1 if x is that number in the pattern and y is the answer.
The prime factorization of 125 is 5 x 5 x 5. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 125 does not include the number 1, yet it does include every instance of a certain prime factor. 125 is a composite number. Hope this helps you out! :)
Everything except for 4 is correct, number 4 is c.
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
From the first equation:
Replacing in the second
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.