# Tutor profile: Caroline L.

## Questions

### Subject: Geometry

A person had a rectangular-shaped garden with sides of length 16 feet and 9 feet. The garden was changed in to a square design with the same area as the original rectangular-shaped garden. How many feet in length are each of the sides of the new square shaped garden?

The rectangular garden has an area of 16 x 9 = 144 square feet. If a square garden has the same area, each side would have a length of the square root of 144, or 12 feet. As a check, 12x12=144 square feet.

### Subject: Chemistry

List all intermolecular forces and intramolecular forces that exist for H2O.

Within the water molecule, covalent bonds exist between the hydrogen and oxygen atoms. Between the water molecules (intermolecular), London Dispersion forces exist and Hydrogen bonding exists.

### Subject: Algebra

You are in charge of catering for a school function. To limit the cost, you will serve only two entrees. One is a vegetarian dish that costs $6 and the other is a chicken dish that costs $8. If there are 150 people at the function and your budget for food is $1000, how many of each type of entrée will be served?

First, define variables: x will represent the number of veggie meal served and y will be the number of chicken meals served. Using the information given, two equations can be written: x+y=150 and 6x+8y=1000. Using substitution, solve the first equation for x (x=150-y) and substitute into the second equation: 6(150-y)+8y=1000. Solving this equation, y=50. Substitute that value for y into x=150-y and x will be 100. Thus 100 veggie dishes were served and 50 chicken dishes were served.

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