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alexgriva [62]
3 years ago
10

Trinity's science instructor entered the 7th students in a STEM competition. There was an enrollment fee of $50 and an additiona

l fee of $12 for each packet of 10 tests. The total cost was $170. How many tests were purchased?
Which of the following equations best models the situation?
Question 1 options:

12x + 50 = 170


50x + 12 = 170


12x - 50 = 170


50x - 12 = 170
Mathematics
1 answer:
lina2011 [118]3 years ago
3 0
12x +50 = 170
-50 -50
12x=120
/12 /12
x=10

Ten packets were purchased
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Answer:

Step-by-step explanation:

so you dont know what m is so lets leave that to the side.

first you see its -4 and six. so m = 4 and thats the naswer

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3 years ago
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He purchased $12.00 worth of lemons and $4.00 worth of glasses to make the lemonade.
Allushta [10]

Answer:

<em>The minimum number of glasses of lemonade is 70</em>

Step-by-step explanation:

<u>Equations</u>

With the data provided, we can build a model for the profit that Michael gets for selling lemonade.

First, we set up the cost function. He purchased $12 in lemons and $4 in glasses. It makes a fixed cost of $16. He also spends $0.02 per glass of lemonade fot the sugar. Being x the number of glasses of lemonade Michael sells, the total cost is modeled by

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The revenue for selling x glasses of lemonade is

R(x)=0.25x

The profit is

P(x)=R(x)-C(x)=0.25x-(16+0.02x)

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To make profits:

0.23x-16>0

Solving for x

x>16/0.23

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Since x must be an integer

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3 years ago
Find the missing angle
Natasha_Volkova [10]

Answer:

56deg

Step-by-step explanation:

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180 = 68 + 56 + x       >> add 68 and 56

180 = 124 + x              >> subtract 124 from both sides

56 = x

The missing side is 56deg

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Answer:

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Step-by-step explanation:

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We will first look at the end behavior of the graph

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this leaves B or C

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The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

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