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 remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?

Answers

Answer 1

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.


Related Questions

How do you accurately graph lines in algebra

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Answer:

Start by plotting the y-intercept which is (0, b).

Find another point using the slope (m) with the y-intercept at the reference point.

Connect the two points with a ruler.

Step-by-step explanation:

Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What is the original price of the computer?

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Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

Answers

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]

and

[tex]\angle G = \angle Y[/tex]

The sum of angles is given as:

[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]

Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]

[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]

Take LCM

[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]

[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]

Multiply both sides by [tex]\frac{2}{14}[/tex]

[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]

[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]

[tex]\angle Y= 51.43 ^{\circ}[/tex]

So:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \frac{5}{2}\angle Y[/tex]

[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]

[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]

[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]

[tex]\angle D = 128.57 ^{\circ}[/tex]

Hence:

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Which best describes the reflection?

Answers

I think A is the answer :)

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Answers

Answer:  4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3

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Answer:

this is your answer..

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helpful for you.

It took Mariel two hours to complete 13 pages in a workbook she completed 7 1/2 pages in the first hour how many pages does he complete in the second hour

Answers

B 5 1/2

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Answers

Answer:

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Step-by-step explanation:

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Estimate the square root of the number below to the nearest tenth

Answers

8.4 hope that helps
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Answer:

16[tex]t^{2}[/tex] + 2t - 6

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[tex](12t^{2} + 5t -y) - (-4t^{2} + 3t -1)[/tex]

simplify

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Ricardo bought $46.23 worth of groceries and paid with a $100 bill. How much change did he receive?

Answers

Answer:

Step-by-step explanation:

You will need to subtract the amount paid from the total amount

100 - 46.23

= 53.77

Ricardo will receive $53.77 in change. :)

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Answers

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Jeanne needed to buy 258 yards of fabric, if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?

Answers

Answer:

Step-by-step explanation:

1 yard is equal to 3 foot

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hope it Helps?

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Answers

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Answers

Answer:

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Answers

Answer:

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Did You Find You Answer

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Is the function represented by the table non-linear?
х
у
6
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2
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Answers

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Step-by-step explanation:

Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts per hour, and Hudson can iron 20 shirts per hour. Naomi and Hudson worked a combined 13 hours and ironed 395 shirts. Write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked. Define the variables that you use to write the system.

Answers

Answer:

Given that Naomi and Hudson work at a dry cleaners ironing shirts, and Naomi can iron 35 shirts per hour, while Hudson can iron 20 shirts per hour, knowing that Naomi and Hudson worked a combined 13 hours and ironed 395 shirts, to write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked, the following logical reasoning should be performed:

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35Y + 20X = 395

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