Mrs. Post bought a carton of eggs containing 24 eggs to use for cookies. When she got home 3 were broken. What percent of the eg
2 answers:
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<h3>Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
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Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well.
- B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write
. The portion
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers".
- C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
Answer:
a. 5 represents the number of calories that come from other ingredients.
b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.
c. <em>c = 5.5</em>
Step-by-step explanation:
We are given the equation:
Where represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37
4 \times 3 + 5 = 17
So, Priya is correct that neither 8 or 3 could be solution.
Part c:
So, solution to the equation is: <em>c = 5.5</em>