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ElenaW [278]
3 years ago
13

A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits,

until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is:
55x + 35y = 200

If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?

Round your answer to the nearest hundredths decimal place.
Mathematics
1 answer:
elena-s [515]3 years ago
6 0

9514 1404 393

Answer:

  2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

  55x +35(2.5) = 200

  55x = 112.5 . . . . . . . . subtract 87.5

  x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.

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dolphi86 [110]

Answer:

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vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in
goldenfox [79]

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = e^{-0.08} = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

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Given the average number of typos ∝ = 0.08 per page.

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After calculation P(x=0) = e^{-0.08} = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

5 0
3 years ago
242 = (80 × 3) + ____find the known number
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Step-by-step explanation:

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What is the solution to the system of equations below?
anyanavicka [17]

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Step-by-step explanation:

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Identify the lines that are perpendicular: A. = −5 and = 2 are perpendicularB. + 5 = 2 and − 5 + = 3 are perpendicularC. = 13 +
scZoUnD [109]

In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):

m_1=-\frac{1}{m_2}

A.

In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.

B.

First let's find the slope of each line:

\begin{gathered} x+\frac{y}{5}=2 \\ 5x+y=10 \\ y=-5x+10\to m=-5 \\  \\ -\frac{x}{5}+y=3 \\ y=\frac{x}{5}+3\to m=\frac{1}{5} \end{gathered}

These slopes obey the relation stated above, so the lines are perpendicular.

C.

\begin{gathered} y=\frac{1}{3}x+1\to m=\frac{1}{3} \\  \\ y-1=-3(x-5) \\ y-1=-3x+15 \\ y=-3x+16\to m=-3 \end{gathered}

These slopes obey the relation stated above, so the lines are perpendicular.

D.

\begin{gathered} y-5=x+1 \\ y=x+6\to m=1 \\  \\ x+y=3 \\ y=-x+3\to m=-1 \end{gathered}

These slopes obey the relation stated above, so the lines are perpendicular.

E.

\begin{gathered} y+2=\frac{1}{3}(x-6) \\ y+2=\frac{1}{3}x-2 \\ y=\frac{1}{3}x-4\to m=\frac{1}{3} \\  \\ y=3x+4\to m=3 \end{gathered}

These slopes don't obey the relation stated above, so the lines aren't perpendicular.

The correct options are A, B, C and D.

5 0
1 year ago
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