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

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]

I NEED EQUATIONS for 20 i need two more pls

Answers

Answer: like math equations that equal twenty?

Step-by-step explanation:

.5 times 40

4 times 5

2 times 10

3 times 6.2/3

Just to name a few

Answer:

4 times 5

the square root of 400

10 plus 10

2 to the 2nd power plus 4

30 minus 10

40 minus 20

50 minus 30

the absolent value of -20

5 to the 2nd power minus 5.

Step-by-step explanation:

Hope it Helps?

Calcula el area de un triangulo rectángulo en el cual los catetos miden 22m y 16m​

Answers

Answer:

176 cm2

Step-by-step explanation:

la formula es b×a/2, entonces multiplica 22×16= 352 y los divides entre 2= 176 centímetros cuadrados

Markus buys an old bike for £50. He cleans it up and sells it for £60. What is his percentage profit?

Answers

Just answering for points I really need it sorry

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

10¢= 1 foot

30¢= 1 yard

30¢ x 258 yards= $77.40

3. Write the equation of the line passing through the point (-2, 0) that is
PARALLEL to y = -3/2x - 2 in slope-intercept form.

Answers

Answer:

y=-3/2x-3

Step-by-step explanation:

I just know so...

Hope this helps :)

Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?

Answers

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Which best describes the reflection?

Answers

I think A is the answer :)

help me please I need

Answers

Answer:

I think the answer is A=49

Hi I need help with #9 please I’m not sure what I’m supposed to do on this

Answers

Answer:

assuming ABCD is a parallelogram angleB+angleA=180°

Step-by-step explanation:

118°+2x+7+9x-33=180

125+11x-33=180

92+11x=180

11x=180-92

11x=88

x=88/11

x=8

Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many stickers does each boy have?

Answers

You can solve this question by setting up an equation. Dan has twice as many stickers as Cam does. We can call Dan 2x, and Cam x. So the equation would be:
2x-15=x+22.
Then solve this equation:
Add 15 on both sides
2x=x+37
Subtract x on both sides
2x-x=37
X=37.
Therefore Cam has 37 stickers, and Dan has 74 stickers.

From the set {7.8, 8.5, 9.1, 9.9}, use substitution to determine which value of x makes the equation true. 3.2 (x - 6.7) = 5.76

Answers

Answer:

8.5

Step-by-step explanation:

Given the equation :

3.2(x - 6.7) = 5.76

x - 6.7 = 5.76 / 3.2

x - 6.7 = 1.8

x = 1.8 + 6.7

x = 8.5

Answer:

8.5

Step-by-step explanation:

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

Hope it helped!!!

I think is the 2 I think I’m not very Sure

Need help please.........................

Answers

Answer:

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

Step-by-step explanation:

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

simplify

[tex]12t^{2} + 5t -7 +4t^{2} -3t +1[/tex]

combine like terms

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

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. :)

b(b-5)²=0
what is the answer?

Answers

Answer:

this is your answer..

OK hope this is k

helpful for you.

The department store buys a suit for $72. They mark it up 110%, what is the

mark-up amount?

Answers

Answer:

$79.20

Step-by-step explanation:

to find markup just multiply 72 by 110%. Conver 110% to a decimal, which is 1.1 Then multiply 72 by 1.1 = 79.2

So the markup amount is $79.20

How do you accurately graph lines in algebra

Answers

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:

Subtract the mixed numbers
4 1/2 - 1 11/12

Choose the correct difference

A.)2 1/3.
B.)9/3.
C.)4.
D.)6 1/6

Answers

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

A is the answer I took the homework

Mary has 20 biscuits in a tin there are 11 plain biscuits 7chocolate biscuits 2 currant biscuits sue takes at random 2 biscuits from the tin work out the probability that the 2 biscuits were not the same type?

Answers

I’m gonna save my life for my Christmas card I have a gift for my birthday present for my Christmas present pots for my Christmas bell I bought it and it’s a little gem for Christmas I bought a Christmas bell I have bought the Christmas for the solarizion and king kitty kitty cat kitty hello hello I have to get it to me when you DUA can you get me some pictures please I love it

Is the function represented by the table non-linear?
х
у
6
4
7
2
8
0
9
-2

Answers

Answer:

the top answer

Step-by-step explanation:

V70





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

Answers

8.4 hope that helps
It’s 777777777777777222222222.000002020202020202202020202020

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?

Answers

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

brainliest for the correct answer ​

Answers

Answer:

5.5 ft ^2

Step-by-step explanation:

1.5 * 5= 5.5

I WILL GIVE BRAINLIEST!!!! ANSWER QUICK!!!
Which of the following represents the general equation for the geometric sequence?


-1, -2, -4, …

a n = 2 n - 1

a n = -1 · 2 n - 1

a n = 1 · 2 n + 1

a n = 1 · 2 n - 1

Answers

Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Did You Find You Answer

1.How will you determine the center and radius given the equation of the circle
in standard form? in general form?
2.How will you determine the equation of the circle given the center and radius ?​

Answers

Answer:

Step-by-step explanation:

Circle Standard Form

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

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:

Naomi, working 13 hours, can iron up to 455 shirts (13 x 35), with which, every hour that Hudson has worked and she does not imply a decrease of 15 ironed shirts. Since 455 - 395 equals 60, and 60/20 equals 3, it is determined that Hudson worked 3 hours, while Naomi worked 10 hours.

Thus, the proposed inequality would be the following:

35Y + 20X = 395

Solving Quadratic Functions

Answers

The answer will be none

42% OF WHAT NUMBER IS 2? If you could please use the fiery cross?​

Answers

Answer:

2100

Step-by-step explanation:

Sorry i dont know what the fiery cross is

One set of 5 numbers from the mode of 5, a median of 6, and a mean of 7.
PLS ANSWER QUICK I WILL GIVE WHAT EVER U WANT!!!!!!!!!

Answers

14 bc it is according the median sorry if it’s wrong
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