3 packs of soda cost $10 less than 5 packs of soda. Write an equation and solve to find the cost of one pack of soda *

Mathematics

2 answers:

n200080 [17]2 years ago

4 0

Answer:

afaafafafada

Step-by-step explanation:

afafsdafadadadsadasdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Nutka1998 [239]2 years ago

3 0

Answer:

3x=5x-10

Step-by-step explanation:

The first thing we must do is define a variable.

We have:

x: unit cost of each pack of soda

We now write the equation that models the problem.

We know that:

3 packs of soda cost $ 10 less than 5 packs of soda.

Which then another way to write this is- 1 pack cost $5

3x=5x-10 (br)

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3 years ago

Read 2 more answers

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$