Answer:
Small popcorns: 68
Medium popcorns:: 46
Large popcorns: 136
Step-by-step explanation:
<h3>
The complete exercise is: "Suppose the movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, and a large costs $10. On your shift, you sold 250 total containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. How many of each popcorn size did you sell?" </h3><h3 />
Let be "s" the number of small popcorns you sold, "m" the number of medium popcorns syou sold and "l" the number of large popcorns you sold.
Set up a system of equations:
To solve it:
- Multiply the first equation by -5 and add it to the second equation:
- Substitute the third equation into and solve for "s":
- Substitute this value into the third equation of the system to find "l":
- Substitute the known values into the first equation of the system and solve for "m" in order to find its value:
The given example is inductive reasoning.
<h3>What is inductive reasoning?</h3>
The method of arriving at a conclusion based on a series of observations is known as inductive reasoning. It is not a valid method of proof in and of itself.
We have the information that. Janelle got invited to a shopping spree with a friend and is supposed to meet her at the mall at 4:00 p.m. when she has gone to the mall in the past,
she has noticed that it takes about two hours for her to travel to the mall. she has also noticed that it takes her 30 minutes to get ready before leaving her apartment. she concludes that she needs to start getting ready at 0:30 p.m.
The given information is giving us the series of the data like we are having a sequence of the timing at what time what she did so we have a series of observations here.
Therefore the given example is inductive reasoning.
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Answer:
see explanation
Step-by-step explanation:
Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0
Using the identity
sec x = , then
cos x = -
= - = - = - = - , thus
secΘ = = -
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Using the identity
tan x = , then
tanΘ = = - × - =