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Tatiana [17]
3 years ago
15

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains th

at speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

So this is not too hard, as with any math problem we write what we know.

Starting speed: 80km/h
Time from P to Q: 2.5h
Increase in speed: 20km/h (25% is dividing by 4)
Distance from Q to R: 150 kilometers

So let's find the speed and distance for both legs of the trip.

Speed for P to Q: 80km/h
Distance from PtoQ: 200km (2.5h * 80km/h)
Speed from Q to R: 100km/h (80 +20)
Distance from QtoR: 150km.

Now we multiply the speeds by their respective distances add them and then divide by the total distance.

((80 *200) + (100 * 150))/350 = ~88.57143

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approximate each irrational number to the nearest hundredth without using a calculator square root of 118 and 319​
Strike441 [17]

Answer:

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Step-by-step explanation:

Consider the provided number.

We need to find the approximate value of \sqrt{118} to the nearest hundredth.

First find two perfect squares that the irrational number falls between.

100

118 is lying between 100 and 121, therefore the square root value of 118 will be somewhere between 10 and 11.

\sqrt{100}

10

118 is closer to 121 as compare to 100.

Therefore, \sqrt{118}\approx 10.86

Consider the number \sqrt{319}

First find two perfect squares that the irrational number falls between.

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319 is lying between 289 and 324, therefore the square root value of 319 will be somewhere between 17 and 18.

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Therefore, \sqrt{319}\approx 17.86

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