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11Alexandr11 [23.1K]
3 years ago
6

Paul buys 5 bags of chips and 9 bags of pretzels for $16.95. Ian buys 1 bag of chips and 1 bag of pretzels for $2.55. Find the c

ost of one bag of chips and one bag of pretzels.
Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Step-by-step explanation:

Let x= Cost of one bag of chips

y= Cost of one bag of pretzels.

As per given, we have

5x+9y=16.95        ...(i)

x+y=2.55            ...(ii)

Multiply 5 to (ii), we get

5x+5y=12.75     ...(iii)

Eliminate (iii) from (i), we get

4y=4.2\\\\\Rightarrow\ y=1.05

Put value of y in (ii), we get

x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5

Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

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Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

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Answer:

a. attached graph; zero real: 2

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c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

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c. the solutions are 2, -3-3i and -3+3i

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