$$ \begin{array}{l} ext { Write an expression: } \ ext { Division } \ ext { 1. The quotient of } \mathrm{r} ext { and } 19 \ ext { 2. } x ext { divided by } \mathrm{d} \ ext { 3. The ratio of } \mathrm{c} ext { to } \mathrm{d} \ ext { 4. The price p per gallon } \mathrm{g}\end{array} $$

Question

$$ \begin{array}{l}	ext { Write an expression: } \ 	ext { Division } \ 	ext { 1. The quotient of } \mathrm{r} 	ext { and } 19 \ 	ext { 2. } x 	ext { divided by } \mathrm{d} \ 	ext { 3. The ratio of } \mathrm{c} 	ext { to } \mathrm{d} \ 	ext { 4. The price p per gallon } \mathrm{g}\end{array} $$

UpStudy AI · Accepted Answer

Certainly! Here are the algebraic expressions for each of the given scenarios related to division:

1. **The quotient of $$ r $$ and 19**
   
   $$
   \frac{r}{19}
   $$

2. **$$ x $$ divided by $$ d $$**
   
   $$
   \frac{x}{d}
   $$

3. **The ratio of $$ c $$ to $$ d $$**
   
   $$
   \frac{c}{d}
   $$

4. **The price $$ p $$ per gallon $$ g $$**
   
   $$
   \frac{p}{g}
   $$

Each expression represents the division relationship as described:

- **Quotient of $$ r $$ and 19**: This represents how many times 19 fits into $$ r $$.
- **$$ x $$ divided by $$ d $$**: This shows the division of $$ x $$ by $$ d $$.
- **Ratio of $$ c $$ to $$ d $$**: This expresses the relative size of $$ c $$ compared to $$ d $$.
- **Price per gallon**: This calculates the cost for each gallon by dividing the total price $$ p $$ by the number of gallons $$ g $$.

Feel free to use these expressions in your calculations or further mathematical work!
Here are the division expressions: 1. $$ \frac{r}{19} $$ 2. $$ \frac{x}{d} $$ 3. $$ \frac{c}{d} $$ 4. $$ \frac{p}{g} $$

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