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3 years ago

a bus trip covers 191 km and takes 4 hours and 15 minutes, what is the average speed of the bus in kilometers per hour

Mathematics

1 answer:

umka21 [38]3 years ago

6 0

Answer: 44,94 km/h

Step-by-step explanation: 15 minutes is a quarter of hour. So we can write 4h + (1/4)h = 17/4 = 4,25 h.

As the average speed is calculated dividing distance by time, the result is 191/ 4,25 = 44,94 km/h.

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Latoya drives 8 miles to work in 13 minutes. What is her average rate, in miles per hour, when rounded to the nearest wholes num

Mama L [17]

Answer:

37 miles per hour

Step-by-step explanation:

To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).

So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.

There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.

Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):

8 ÷ 13/60

Remember, a ÷ b/c = a × c/b. Using this:

8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.

Latoya had an average rate of about 37 miles per hour.

I hope this helps. :)

6 0

3 years ago

Find the distance between the given points: (2, -2) and (-4, 7)

sasho [114]

Answer:

$3\sqrt{13}$

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

$x_1=2\\y_1=-2\\x_2=-4\\y_2=7$

Now substitute those values into the formula and solve

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\sqrt{(-4-2)^2+(7--2)^2}$

Simplify

$\sqrt{(-4-2)^2+(7+2)^2}$

$\sqrt{(-6)^2+(9)^2}$

Square the numbers under the radical

$\sqrt{36+81}$

Add the numbers under the radical together

$\sqrt{117}$

Simplify the square root

$3\sqrt{13}$

Hope this helps!

6 0

3 years ago

10.204 round to the nearest hundredth

Nonamiya [84]

Answer:

Step-by-step explanation:

5 0

3 years ago

Brian needs to buy some pencils bread I had a pack of 12 pencils for 298 when we has a pack of a pack of 18 pencils for 499 find

AlekseyPX

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

-298/12=24.83

-499/18=27.72

According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

8 0

4 years ago

Graph the linear inequality. 3x-y<6

Sphinxa [80]

Answer:

Step-by-step explanation:

3 x - y < 6

dividing whole equation by 6 equation comes out to be

$\frac{3x}{6}-\frac{y}{6}$

$\frac{x}{2}+\frac{y}{-6}$

from the above equation we can clearly see that the x and y co-ordinate

x co-ordinate will be (2,0) where y coordinate will be(0,-6)

and the plot is given in the attachment given below.

where as the shaded portion gives the desired region.

6 0

3 years ago