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
First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.
Answer: 236 kcal
Step-by-step explanation:
Given : A serving of fish contains 50 g protein and 4 g of fat.
i.e. content of protein = 50 g
content of fat = 4 g
Also, The caloric value in protein = 4 kcal/g
The caloric value in fat = 9 kcal/g
Calories in 50 g protein = (content of protein)x (caloric value in protein )
= 50g x 4 kcal/g = 200 kcal
Calories in 4 g fat= (content of fat)x (caloric value in fat)
=4 g x 9 kcal/g = 36 kcal
Then, the total calories in the serving will be :Calories in 50 g protein + Calories in 4 g fat
= 200 kcal+ 36 kcal =236 kcal
Hence, there are 236 kcal in the serving.