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# Tutor profile: Lyndsay V.

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Lyndsay V.
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## Questions

### Subject:Pre-Algebra

TutorMe
Question:

I go to the farm to buy more chickens. when I come home, I've multiplied the number of chickens i have by 7. I now have 42 chickens. How many chickens did I start with?

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Lyndsay V.

The question states that we have multiplied two numbers together to obtain a product number. we know one of the multiples, and we know the product. Let's write an equation to see what we know! ? chickens x 7 = 42 chickens Whatever we do to the left of the = we must do to the right in order to keep the equation true. Let's divide the left and right sides by 7, to reverse the multiplication! ? chickens x 7 = 42 chickens divide both sides by 7 ? chickens = 6 chickens Now we know I started with 6 chickens! Lets write our final answer. I had 6 chickens before I went to the farm!

### Subject:Calculus

TutorMe
Question:

Sabrina is moving along the x-axis on her way to school. Sabrina is often distracted, so he direction and velocity change quite often, in a pattern that, when graphing position, matches x(t)=(1/2)sin(t). Find the equation of Sabrina's velocity as well as her acceleration. Also find her instantaneous velocity at t=pi. For the sake of simplicity, all values of "C" can be assumed as 0.

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Lyndsay V.

To find the equation of a velocity curve, one simply must take the derivative of the position equation [x(t)=(1/2)sin(t)]. d/dt [(1/2)sin(t)] first, we can take out the constant because of the constant rule (1/2) d/dt sin(t) the derivative of sin is cos, so we are left with (1/2)cos(t) therefore the velocity equation is v(t)=(1/2)cos(t)+C C is assumed to be 0, so... v(t)=(1/2)cos(t) we repeat the same process to find the acceleration, however we are now taking the derivative of the velocity equation. d/dt [(1/2)cos(t)] (1/2) d/dt cos(t) the derivative of cos is -sin, so we are left with -(1/2)sin(t) therefore, the acceleration is a(t)=-(1/2)sin(t)+C C is assumed to be 0, so... a(t)=-(1/2)sin(t) Now we can solve the last part of the problem! When t=pi, What is Sabrina's velocity? v(pi)=(1/2)cos(pi) v(pi)=(1/2)(1) v(pi)=1/2 Let's write our final answer! v(t)=(1/2)cos(t) a(t)=-(1/2)sin(t) v(pi)=1/2

### Subject:Algebra

TutorMe
Question:

Sabrina needs to go to the store. She needs 1 carton of eggs, 3 loaves of bread, a box of cereal, and 2 gallons of milk. She has \$43 to buy her groceries. She knows last time she went to the grocery store she bought one of each item above and spent \$22. Sabrina also saw two specials that read "buy 2 cartons of eggs and one loaf of bread for \$17," and "buy one loaf of bread and one gallon of milk for \$8." Milk is always \$3 at the store. Does Sabrina have enough money for her trip to the grocery store? If yes, how much will she have leftover? If no, how much more does she need?

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Lyndsay V.

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