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BigorU [14]
3 years ago
13

A plane left an airport and flew 3 miles north, 5 miles west, 2 miles north, 3 miles west, and then flew directly back to the ai

rport . To the nearest tenth of a mile, find the total distance traveled.
Thanks so much!!!
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
9.4 is the distance coming back with pythagorean theorem
add the original 13 miles
22.4 miles
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Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.

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  • Let the number of bags of popcorn be p.

<u>Given the following data:</u>

  • Cost of soda = $4.50.
  • Cost of popcorn = $1.50.
  • Total price = $36.

a. To write a system of equations that models this scenario:

<h3>What is a system of equations?</h3>

A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

<h3>For the soda and popcorn:</h3>

4.5s+1.5p=36    ...equation 1.

Translating the word problem into an algebraic expression, we have;

Three times as many bags of popcorn as sodas:

3p=s   ...equation 2.

b. To determine how many of each item Kirk bought:

Substituting eqn. 2 into eqn. 1, we have:

4.5(3p)+1.5p=36\\\\13.5p+1.5p=36\\\\15p=36\\\\p=\frac{36}{15}

p = 2.4 bags of popcorn

<u>For soda:</u>

s=3p\\&#10;\\&#10;s=3 \times 2.4

s = 7.2 sodas.

Read more on word problems here: brainly.com/question/13170908

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