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yaroslaw [1]
2 years ago
15

Darian and Kyle went to the Cinema and purchased nachos and chocolates. Kyle purchased two nachos and one chocolate ,while Daria

n purchased one more nachos and two more chocolates and paid a total of $45. How much did Kyle pay if the cost of the nachos was twice the cost of the chocolate?
please show working :)
Mathematics
1 answer:
quester [9]2 years ago
4 0

The amount of money Kyle paid is $25.

<h3>Determine the price of nachos and chocolates </h3>

Two simultaneous equations can be derived from the question:

3n + 3c = $45 equation 1

n = 2c equation 2

Where:

  • n = price of nachos
  • c = price of chocolate

In order to determine the price of chocolates, please substitute for n in equation 1.

3(2c) + 3c = $45

6c + 3c = $45

9c = $45

c = $45/9 = $5

In order to determine the price of nachos, please substitute for c in equation 2:

n = 2($5)

n = $10

<h3>Amount Kyle paid </h3>

2($10) + $5

$20 + $5

= $25

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

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3 years ago
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Answer:

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