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Alinara [238K]
3 years ago
6

chelsea takes the bus to school,but she walks home. the bus travels to the school at an average speed of 45 miles per hour. whil

e going home from school, chelsea walks at a speed of 2.5 miles per hour. in total, she takes 1 hour to travel to school and back. if (t) is the time it takes to go to school by bus, the equation that will help find the time it takes chelsea to get to school on the bus is?

Mathematics
1 answer:
jekas [21]3 years ago
4 0
For this case, the first thing you should know is:
 d: v * t
 Where,
 d: distance
 v: speed
 t: time
 To go to school by bus we have:
 d = 45 * t
 To return from school we have:
 d = 2.5 * (1-t)
 how the distance is the same:45 * t = 2.5 * (1-t)
 Answer:
 the equation that will help find the time it takes chelsea to get to school on the bus is:
 45 * t = 2.5 * (1-t)
 Note: the equation will have one solution. 
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kupik [55]

Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives

\tan\left(x + \dfrac\pi3\right) = \dfrac1{\sqrt3} \implies \tan^{-1}\left(\tan\left(x + \dfrac\pi3\right)\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) + n\pi

\implies x + \dfrac\pi3 = \dfrac\pi6 + n\pi

where n is any integer. Solving for x, we get

x = -\dfrac\pi6 + n\pi

and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).

7 0
2 years ago
Utilize as propriedades das potências e resolva 2⁴ * 2⁷ * 2⁵​
Lana71 [14]

Answer:

65536

Step-by-step explanation:

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4 0
3 years ago
You wish to mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Roun
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22.50$ with rounding to the nearest half dollar.
7 0
4 years ago
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My smart people help me love yall! ^^
mr_godi [17]

Answer:

<u>x = 36</u>

Step-by-step explanation:

180 - 126 = 54

90 + 54 + x = 180

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180 - 144 = x

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Have a nice day!

7 0
3 years ago
Kayla is on level 12 of a new game. Everyday she completes 6 new levels. Maddy is on level 28 of the same game. Everyday she com
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Answer:

Kayla and Maddy will be in the same level in 4 days.

Step-by-step explanation:

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4x + 12 = 28

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x = 4

3 0
3 years ago
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