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lozanna [386]
2 years ago
5

It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remaind

er by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?
Mathematics
1 answer:
inn [45]2 years ago
7 0

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

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If anyone is good at math and likes to help someone that is not good with it I will give you brainliest
hammer [34]

Answer:

1st pic answer:

Slope= -3

Parallel slope= -3

Perpendicular slope = 1/3

2nd pic answers:

1 and 2 are parallel

1 and 3 are perpendicular

2 and 3 are perpendicular

Step-by-step explanation:

To find the slope in your first equation (6x+2y=1) you need to get y alone so that your equation will be in slope-intercept form (y=mx+b).

6x+2y=1     Start by subtracting the 6x over to the other side.

-6x      -6x

2y= -6x+1   Next divide by 2 to get y completely alone.

\frac{2y}{2} =\frac{-6x}{2}+\frac{1}{2}

y= -3x+1/2

So to answer the first part your slope is -3. Parallel slope would be the same as your regular slope. Perpendicular would be the opposite, so that means you have to flip it and change the sign.

-3 flipped is -1/3

if you change the sign it becomes positive giving you 1/3

Part 2

Your first step would be to get all the equations into the slope-intercept form (y=mx+b). The second one is already in the form so we only need to change 1 and 3.

3y=5x+2   To get y alone you need to divide everything by 3.

\frac{3y}{3}=\frac{5x}{3} +\frac{2}{3}

y=5/3x+2/3  Before we work on equation 3 we can go ahead and compare equations 1 and 2.

1: y=\frac{5x}{3} +\frac{2}{3}

2: y=\frac{5x}{3} +7   Since 1 and 2 have the same slope they would be parallel.

Now to change equation 3.

6x+10y=8    Start by subtracting the 6x over to the other side.

-6x       -6x

10y=-6x+8     Now divide everything by 10 to get y alone.

\frac{10y}{10}=\frac{-6x}{10} +\frac{8}{10}

y=-6x/10+8/10   Now we need to simplify the fractions using common factors. I'm going to use 2 for both equations, so you take -6 and 10 both divided by 2, which gives you -3 and 5(-3x/5). Now do the same with the other fraction. 8 and 10 divided by 2 gives us 4 and 5 (4/5)

3: y=\frac{-3x}{5}+\frac{4}{5}

2: y=\frac{5x}{3} +7

1: y=\frac{5x}{3} +\frac{2}{3}

Since three has an opposite slope of both 1 and 2 it would be perpendicular to both.

5 0
3 years ago
H E L P ! !
mihalych1998 [28]

Answer:

10.7cm

Step-by-step explanation:

x^2= 115

x = √115

x = 10.7

5 0
2 years ago
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balu736 [363]
16 cm.

This is because one side of the hexagon is half of one side of the square. Therefore, you multiply 8 by 2. 8x2 = 16
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Need more information
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pashok25 [27]

Step-by-step explanation:

[ Refer to the attachment ]

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