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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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Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1
makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

\begin{aligned}\\&#10;x+y&=320\\&#10;y&=320-x\\&#10;\end                    .......1

Now as the total money with ticket selling is $1100. Thus,

2.5x+4y=110

Keep the value of u from the equation 1 in the above equation. We get,

\begin{aligned}&#10;2.5x+4(320-x)&=1100\\&#10;2.5x+1280-4x&=1100\\&#10;-1.5x&=1100-1280\\&#10;-1.5x&=-180\\&#10;x&=\dfrac{180}{1.5} \\&#10;x&=120\\&#10;\end

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

y=320-x\\&#10;y=320-120\\&#10;y=200

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

brainly.com/question/787279

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2 years ago
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So, plugging in the values and solving for a and b,
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Therefore, the translation is
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An estimated 40% of all people were born after the year 2000. If two people are selected at random from around the world, what a
sukhopar [10]

The chances that NEITHER of these two selected people were born after the year 2000 is 0.36

<h3>How to determine the probability?</h3>

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The chances that NEITHER of these two selected people were born after the year 2000 is calculated as:

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Substitute the known values in the above equation

P = (1 - 40%)^2

Evaluate the exponent

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Hence, the chances that NEITHER of these two selected people were born after the year 2000 is 0.36

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How many different ways can you find for 7 coins totaling 95 cents?​
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Answer:

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