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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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A company ships packages through the postal service. One week, the cost of shipping one
DanielleElmas [232]

Answer:

Step-by-step explanation:

For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,

What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!

From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?

Technically yes... But would someone buy 0.5 of a stamp? Not really.

So we can safetly assume that x is the "stamp", and 0.50 is <em>the cost of the stamp</em>.

Hope this helps!

7 0
2 years ago
Will the defenders be able to reach the ball carrier explain why or why not plz
Afina-wow [57]

Answer:

if your going based off of the  path that they are taking i say yes because the will meet at the end point or in this case the 1 yard line

Step-by-step explanation:

6 0
2 years ago
Solve the proportion:<br> -9/6 = 3/x
hichkok12 [17]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
A train has 6 identical passenger cars that are each 18 m long.
Gnesinka [82]

Answer:

59m

Step-by-step explanation:

No of passenger cars in the train = 6

length of each passenger cars = 18m

total length of 6 passenger cars = 18 * 6 = 108 m

length of caboose = 10m

total length of train when caboose is included = 108 m + 10 m = 118m

_____________________________________________

Let the length of truck be X m

given that length of train is twice of length of truck = 2*X

but length of train as found above is 118 m

this implies

2X = 118

X = 118/2 = 59m

Therefore length of truck is 59m

5 0
3 years ago
Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account t
dalvyx [7]

Answer:

Paul earned $2.6 more interest than Monica.

Step-by-step explanation:

Giving the following information:

Monica:

Initial investment= $300

Interest rate= 4.2%

Paul:

Initial investment= $400

Interest rate= 3.8%

<u>To calculate the income earned, we need to use the following formula:</u>

I= P*r*t

P= principal

r= interest rate

t= time

Monica:

I= 300*0.042*1= $12.6

Paul:

I= 400*0.038*1= $15.2

Paul earned $2.6 more interest than Monica.

7 0
2 years ago
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