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bonufazy [111]
3 years ago
7

Tanvi is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, she spent a tot

al of $80. Tanvi will be earning a base salary of $50 per month from the gym, plus an additional $15 for every class she teaches. If Tanvi teaches a certain number of classes during her first month as an instructor, she will earn back the amount she spent on certification. How much will Tanvi's expenses and earnings be?
Mathematics
2 answers:
pishuonlain [190]3 years ago
8 0
Y=Mx+b
Y being the amount she spent $80 m being the amount per class and b being base amount paid it’s
80=15x+50
Subtract 50 from the 80
30=15x
Divide 30 by 15 and
X=2 she has to teach 2 classes
DENIUS [597]3 years ago
5 0

Answer:

I think the answer is 4. if my math is correct

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bixtya [17]

Answer:

5.625

Step-by-step explanation:

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Given: A ABC<br> The measure of measure of
shepuryov [24]

Answer:

∠A = 90  

∠B = 30

∠C = 60

Step-by-step explanation:

Let ∠B = x

∠A = 3x

∠C = x + 30

Angle sum property of triangle: Sum of three angles of triangle is 180

x + 3x + x + 30 = 180   {Combine like terms}

         5x  + 30 = 180

                    5x = 180 - 30

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                     x = 130/5

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3 years ago
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Elenna [48]

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7 0
3 years ago
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Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o
Keith_Richards [23]

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

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For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

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7 0
3 years ago
Please show how you got your answer to the problem.<br> 4/5 + 3/15 - 2/3 =
natta225 [31]

Answer:

Simplified Answer: 1/3 Non-Simplified Answer: 5/15

Step-by-step explanation:

Make every fraction have a common denominator:

4/5 * 3/3 = 12/15

3/15 = 3/15

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Add and/or Subtract the numerator(s):

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15 - 10 = 5

Place the final numerator over the denominator (Non-simplified Answer):

5/15

Simplify (What can you divide the numerator and the denominator by to make the fraction into it's simplest from without any remainders?):

5 goes into both 5 and 15.

5/15 divided by 5 = 1/3

Simplified Answer:

1/3

5 0
3 years ago
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