Given that a person's normal body temperature is 98.6 ° F, and according to physicians, a person's body temperature should not be more than 0.5 ° F from the normal temperature, to determine how you could use an absolute value inequality to represent the temperatures that fall outside of normal range, the following logical-mathematical reasoning must be carried out:
As long as the normal temperature is 98.6 ° F, and its variation should not be greater than 0.5 ° F in its increase or decrease, it is correct to say that the range of normal body temperatures is equal to 98.6 - 0.5 to 98.6 + 0.5, that is, it has a variability that goes from 98.1 ° F to 99.1 ° F.
Thus, the absolute value inequality of 0.5 (both subtracting and adding) determines the limits of the temperature parameter considered normal.
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The answer is: 
The explanation is shown below:
1- You have the following expression given in the exercise:
2- When you multiply signs, you obtain:
3. Now, you must add like terms, as following:
4. Therefore, you have that the expression simplified is:
Answer:
Sylvia=16
brother=8
Step-by-step explanation:
8+7=15
16-1=15
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.
