Questions: water needs to be added to the current solution to reduce the concentration to 3.5% and have the correct dosage for the dog? Complete parts (a) through (d) below a. How many ml(N) of the new solution (3.5%) should be administered to the dog? ml Ratio Table for the Sedative Solutions Part Whole (1) Whole 12 (3.5%) Sedative (ml) Original Solution (ml) New Solution (ml) Dog (b) 10 100 3.5 100 - 0.7 1 S 0 N 30

water needs to be added to the current solution to reduce the concentration to 3.5% and have the correct dosage for the dog? Complete parts (a) through (d) below

a. How many ml(N) of the new solution (3.5%) should be administered to the dog?
ml
Ratio Table for the Sedative Solutions
Part Whole (1) Whole 12 (3.5%)
Sedative (ml) Original Solution (ml) New Solution (ml) Dog (b)
10 100
3.5 100 -
0.7 1
S 0 N 30

Transcript text: water needs to be added to the current solution to reduce the concentration to $3.5 \%$ and have the correct dosage for the dog? Complete parts (a) through (d) below a. How many $\mathrm{ml}(\mathrm{N})$ of the new solution ( $3.5 \%$ ) should be administered to the dog? $\square$ ml Ratio Table for the Sedative Solutions \begin{tabular}{|c|c|c|c|} \hline Part & Whole (1) & Whole 12 (3.5\%) & \\ \hline Sedative (ml) & Original Solution (ml) & New Solution (ml) & Dog (b) \\ \hline 10 & 100 & & \\ \hline 3.5 & & 100 & - \\ \hline & & 0.7 & 1 \\ \hline S & 0 & N & 30 \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Understanding the Problem

We need to determine how many milliliters (ml) of a new solution with a concentration of 3.5% should be administered to a dog. The ratio table provides information about the sedative solutions and their concentrations.

Step 2: Analyzing the Ratio Table

The ratio table shows:

10 ml of sedative in 100 ml of the original solution.
3.5 ml of sedative in 100 ml of the new solution (3.5% concentration).
0.7 ml of sedative corresponds to 1 ml of the new solution.
We need to find the amount $ N $ of the new solution for a dog that requires 30 ml of sedative.

Step 3: Setting Up the Proportion

From the table, we know that 0.7 ml of sedative corresponds to 1 ml of the new solution. We need to find how many ml of the new solution corresponds to 30 ml of sedative.

The proportion is: \[ \frac{0.7}{1} = \frac{30}{N} \]

Step 4: Solving the Proportion

To find $ N $, solve the equation: \[ 0.7N = 30 \] \[ N = \frac{30}{0.7} \] \[ N = 42.8571 \]