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dangina [55]
3 years ago
15

Andy bought 3 bags of a new birdseed mixture on sale. The birds in his yard like it so well that his friend Mike bought 5 bags.

Together they spent $13.20. How much does each bag cost? _____
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

$1.65.

Step-by-step explanation:

Let x represent cost of each bag of birdseed.

We have been given that Andy bought 3 bags of a new birdseed mixture on sale. Cost of 3 bags of birdseed would be 3x.

The birds in his yard like it so well that his friend Mike bought 5 bags. Cost of 3 bags of birdseed would be 5x.

We are also told that together they spent $13.20, we can represent this information in an equation as:

3x+5x=\$13.20

8x=\$13.20

\frac{8x}{8}=\frac{\$13.20}{8}

x=\$1.65

Therefore, the cost of each bag of birdseed would be $1.65.

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BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

\large \boxed{sin \theta = tan \theta cos \theta} \\  \large \boxed{tan^{2}  \theta + 1 =  {sec}^{2} \theta}

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\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

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\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

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\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

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