The answer is: The correct dose of medication to give is 5.6 mL
<h2>Why?</h2>To solve this problem we need to establish a relationship between the prescripted medication and the available solution.
Let's write the needed equations to establish the relantionship:
The available solution means 125 mg each 5 mL of solution, so:
Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.
Have a nice day!
Answer:
4a. See attached.
4b. 32
6. x = 4.5, LM = 7.5, LN = 10.5
Step-by-step explanation:
4b. The midline of a triangle is half the length of the baseline it is parallel to. Hence the segment FH is twice the length of CD, or 2·16 = 32.
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6. The angle bisector MP divides the triangles segments so those on one side of it are proportional to corresponding ones on the other side of it. Here, that means ...
x/(x+3) = 6/10
10x = 6x + 18 . . . . multiply by 10(x+3)
4x = 18 . . . . . . . . . subtract 6x
x = 4.5 . . . . . . . . . divide by 4
Then segment LM is x+3 = 4.5+3 = 7.5, and LN = x+6 = 4.5+6 = 10.5.
The blanks are filled as ...
x = 4.5 LM = 7.5 LN = 10.5
Answer:
x = -1, 1
Step-by-step explanation:
The solutions to f(x) = g(x) are the x-values where the two functions have the same value.
The functions are both 1 when x = -1.
The functions are both -7 when x = 1.
The two solutions are x = -1, x = 1.
