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Which unit conversions can be used to help convert tsp into mL? Check all that apply.

- 1 tbsp [tex]= 3[/tex] tsp
- 1 tbsp [tex]= 15[/tex] mL

Answer :

We want to convert teaspoons ([tex]$\mathrm{tsp}$[/tex]) into milliliters ([tex]$\mathrm{mL}$[/tex]). To do this, we can use two key conversion factors:

1. We know that
[tex]$$1\,\text{tbsp} = 3\,\text{tsp}.$$[/tex]
This tells us how many teaspoons are in one tablespoon.

2. We also know that
[tex]$$1\,\text{tbsp} = 15\,\text{mL}.$$[/tex]
This tells us how many milliliters are in one tablespoon.

Since both conversion factors include the tablespoon, we can combine them to convert teaspoons to milliliters. Here's how:

- First, express 1 teaspoon in terms of tablespoons. Since there are 3 teaspoons in 1 tablespoon, we have
[tex]$$1\,\text{tsp} = \frac{1}{3}\,\text{tbsp}.$$[/tex]

- Next, convert this amount of tablespoons into milliliters using the second conversion factor. Multiply by the value in milliliters per tablespoon:
[tex]$$1\,\text{tsp} = \frac{1}{3}\,\text{tbsp} = \frac{1}{3} \times 15\,\text{mL} = 5\,\text{mL}.$$[/tex]

Thus, the unit conversions that help convert [tex]$\mathrm{tsp}$[/tex] into [tex]$\mathrm{mL}$[/tex] are:

- [tex]$$1\,\text{tbsp} = 3\,\text{tsp},$$[/tex]
- [tex]$$1\,\text{tbsp} = 15\,\text{mL}.$$[/tex]

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