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andrew-mc [135]
3 years ago
5

Gavin and Ian go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $80.00 on 6 drinks an

d 7 bags of popcorn. Ian spends a total of $56.00 on 2 drinks and 6 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

Answer: 8.00 for a bag of popcorn, drink: 4:00.

Step-by-step explanation:

Set up a system of equations, solve 6d+7b=80

2d+6b=56. Solve for b and d.


Hope this helps, if did rate 5 stars. Thanks.

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4 years ago
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Represent the number 108 in expanded form and exponent
lubasha [3.4K]

<h3>108 = 3³ × 2²</h3>

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }

\boxed { (a ^ b) ^ c = a ^ { b . c } }

\boxed {a ^ b \div a ^ c = a ^ { b - c } }

\boxed {\log a + \log b = \log (a \times b) }

\boxed {\log a - \log b = \log (a \div b) }

<em>Let us tackle the problem!</em>

\texttt{ }

108 = 54 \times 2

108 = (27 \times 2) \times 2

108 = (9 \times 3) \times 2 \times 2

108 = (3 \times 3) \times 3 \times 2 \times 2

108 = 3^3 \times 2^2

\texttt{ }

<h3>Conclusion:</h3>

The number 108 could be represented in expanded form and exponent as following:

\boxed{ 108 = 3^3 \times 2^2 }

\texttt{ }

<h3>Learn more</h3>
  • Coefficient of A Square Root : brainly.com/question/11337634
  • The Order of Operations : brainly.com/question/10821615
  • Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

#LearnWithBrainly

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