a certain journey took 40 min to complete. if half of the distance was travelled at an average speed of 100 km/h and the other half at an average speed of 60 km/h, what was the total length​ of the journey

Answers

Answer 1

total time taken = 40 min

let x be the total length/ distance of the journey.

speed(v) = distance/ time

100= (1/2 x)/ time ---1

60= (1/2 x)/ time ---2

add 1 and 2

160= x/40

where 40 is the total time taken

44.44m/s= x/ 2400s (i converted the speed and time)

x = 106,656 metres = 106.656km

the total length is 106.656 km.

Answer 2

Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.

According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.

Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.

The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]

Therefore, the total length of the journey is 240 km.

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Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

D. Dilation and reflection

Step-by-step explanation:

There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.  

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

An amusement park charges an admission fee of 40 dollars for each person.
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The sum of three consecutive rven integers is 72. Let x represent the first integer, x+2 represent the srcond integer, and x+ 4 represent the third which equation can be used to find the first integer

Answers

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

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The first term of the sequence is 22

What is the difference between the longest jump and the shortest jump in the running long jump event?

Answers

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Answers

Answer:

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Step-by-step explanation:

to find the mid-point you add the two x and divide it by 2 same as y.

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510 pesos equals 24.12 U.S. dollars.

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Answer:

These are two imaginary solutions.

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Step-by-step explanation:

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Answer:

-147 - 98i

Step-by-step explanation:

(3 × -8) + (2i × -8) + (3 × -41) + (2i × -41)

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Answers

Answer:

1/4 or or 0.25

1Step-by-step explanation:

just do 2.75 divided by 11 and you get your answer

At rate 0.25 inch per hour the candle burn.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A 2 3/4​ inch candle burns down in 11 hours.

Now,

Since, A 2 3/4​ inch candle burns down in 11 hours.

Hence, The rate in which the candle burn, in inches per hour is;

= [tex]2 \frac{3}{4}[/tex] ÷ [tex]11[/tex]

= 11/4 ÷ 11

= 11/4 x 1/11

= 1/4 inches per hour.

Thus, At rate 0.25 inch per hour the candle burn.

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Answers

Answer:

b and 57 are adjacent and supplementary angles so

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Answer:

123

Step-by-step explanation:

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180°-57°

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Answers

Step-by-step explanation:

Per means division so this should be 25/0.5

I think you can do the problem by yourself now!

Hope this helps <3

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One size seats exactly 5 people, and the other size seats exactly 8 people.
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Answers

Answer:

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Step-by-step explanation:

Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS

Answers

Answer:

No, they are not equivalent

Step-by-step explanation:

Because

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Answer:

Yes

Step-by-step explanation:

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Answers

Answer:

its adding 3

Step-by-step explanation:

So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on

The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.

What is a sequence?

The sequence is a pattern of placing the values in a specified manner.

Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:

Two days ago: 6 cupcakes

Yesterday: 9 cupcakes

Today: 12 cupcakes

Tomorrow: 15 cupcakes

Day after tomorrow: 18 cupcakes

In five days: 21 cupcakes

And so on, the pattern would continue adding 3 cupcakes for each subsequent day.

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The given quesiton is incomplete, the complete question s given below,


I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??

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Answers

Answer:

121,436 to the nearest ten thousand

Step-by-step explanation:

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

Answers

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

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Answers

Answer:

Step-by-step explanation:

It’s 6 feet

Answer:

The answer is 6

Step-by-step explanation:

I just did it on Edgenutiy

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Answers

Hi!
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Answer : 4/99

Answer:

Option  A 4/99

Step-by-step explanation:

4 x 1 = 4  

9 x 11 = 99

4/99

The number of necklaces Lilly can make varies directly with the amount of time she spends making necklaces. She can make 5 necklaces in 2/5 hour. How many necklaces can she make in 5 hours

Answers

Answer:

160 is your answer.

Step-by-step explanation:

I got it right on a test.

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Answers

Answer:

One and a half or 1 and 1/2

Answer:

6/4 or 1 and 2/4

Step-by-step explanation:

What Is 3 times blank equelas 27?

Answers

Answer:

3 * 9 = 27

Step-by-step explanation:

3 * 9 = 27

Answer:

3 times 9 equals 27

Step-by-step explanation:

3x1=3

3x2=6

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11. What is the value of y?
1420
105°
140°
124)
88°
you

Answers

Answer:

59 degrees (just taking a shot)

Step-by-step explanation:

A six sided polygon should have a total degree total of 720 degrees. 105+142+140+124+88+x=720. When you find x, it should equal 121 degrees. Since x and y are both on a straight line, that line has to be 180 degrees. These are supplementary angles. 180-121 should equal 59.

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