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Nastasia [14]
3 years ago
7

Margo read forty-two pages in 2.5 hours. Pete read six fewer pages in the same amount of time. How long would it take Pete to re

ad 80 pages?
Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

<u>5.56 hours</u>

Step-by-step explanation:

Margo read 42 pages in 2.5 hours.

Pete read six fewer pages in the same amount of time.

So, The number of pages that Pete reads = 42 - 6 = 36 pages

So, Pete read 36 pages in 2.5 hours.

let the time needed to read 80 pages x

∴ 36 pages ⇒ 2.5 hours

   80 pages ⇒  x   hours

∴\frac{36}{80} = \frac{2.5}{x}

Using cross multiplication:

∴x = \frac{80*2.5}{36} = \frac{200}{36}=5\frac{5}{9}=5.56

So, The time taken to read 80 pages

= <u>5.56 hours = 5 hours and 33.33 minutes</u>

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Odd degree and negative leading coefient
means it goes from the top left to bottom right
goes infinitely down

as x aproaches infinity, y approaches neagtive infinity

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3 years ago
The bacteria took 1 hour and 40 minutes to fill the initial
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Answer:

The bacteria took 1 hour and 40 minutes to fill the first bottle and it took only 10 minutes to fill 3 more. This is because of the amount of bacteria, for the first bottle there were only a few so it took them time to grow and multiply but once there were a lot the process starts to get faster. Think of it like this if you have 1 bacteria it will multiply into 2 bacteria. The 2 will multiply into 4, then 8, 16, 32, 62, 124 and so on. Do you notice how the numbers are getting bigger every time? Each number is being multiplied by 2 so the growth rate speeds up very quickly, which is why it took the bacteria 1 hour and 40 minutes to fill the first bottle and only 10 minutes to fill the other 3.

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3 years ago
Read 2 more answers
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is form
Fofino [41]
<h3>Answer:</h3><h3>C = 28.2, A = 25.8, a = 6.5</h3>

See diagram below.

==============================================

Work Shown:

Given info is

B = 126 degrees

b = 12

c = 7

Use the Law of Sines to solve for angle C

sin(C)/c = sin(B)/b

sin(C)/7 = sin(126)/12

sin(C)/7 = 0.067418082864579

sin(C) = 7*0.067418082864579

sin(C) = 0.471926580052053

C = arcsin(0.471926580052053) or C = 180-arcsin(0.471926580052053)

C = 28.1594278560921 or C = 180-28.1594278560921

C = 28.1594278560921 or C = 151.840572143908

C = 28.2 or C = 151.8

We have two possible angle values for C.

-----------------

If C = 28.2, then A = 180-B-C = 180-126-28.2 = 25.8

If C = 151.8, then A = 180-B-C = 180-126-151.8 = -97.8

So it is not possible for C = 151.8 (because it leads to angle A being negative)

Therefore, only C = 28.2 is possible.

-----------------

Use the law of cosines to find the remaining side 'a'

a^2 = b^2 + c^2 - 2*b*c*cos(A)

a^2 = (12)^2 + (7)^2 - 2*(12)*(7)*cos(25.8)

a^2 = 144 + 49 - 168*0.900318771402194

a^2 = 144 + 49 - 151.253553595569

a^2 = 41.7464464044315

a = sqrt(41.7464464044315)

a = 6.46114900032738

a = 6.5

-----------------

Only one triangle is possible

The fully solved triangle has these angles and sides:

  • A = 25.8 (approx)
  • B = 126
  • C = 28.2 (approx)
  • a = 6.5 (approx)
  • b = 12
  • c = 7

With stuff in bold representing the terms we solved for previously. Attached below is an image of the fully solved triangle.

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This answer would be approximately 2 miles
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4 years ago
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Answer:

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Step-by-step explanation:

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