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.

To know more about average speed visit:

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Related Questions

i have to solve this −2×8/3=

Answers

Answer:

-2 times 8\3

Step-by-step explanation:

the answer is -48

Answer: -5 1/3

Step-by-step explanation: First, convert -2 into a fraction by putting a 1 under the -2. So, you should have -2/1. Since, you‘re multiplying a negative times a positive, you’re answer should be negative. Next, multiply -2/1 x 8/3 by cross multiplying. You should end up with an answer of -5 1/3.

Translate this sentence into an equation.
The difference of Craig's age and 15 is 53
Use the variable c to represent Craig's age.
ILL GIVE YOU EXTRA POINTS AND BRAINLIEST

Answers

c-53=15



hope this helps and good luck

Question 7(5 points (02.03 M The figure shows two triangles on a coordinate grid: What set of transformations is performed on triangle ABC to form triangle AB'C7 (5 points) Oa A 180-degree counterclockwise rotation about the origin, followed bya translation 5 units down Ob Atranslation 5 units down followed by a 180-degree counterclockwise rotation about the origin Oc A270-degree countercdockwise rotation about the origin, followed by a translation 5 units to the right O d Atranslation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin ​

Answers

Answer:

I think its b

Step-by-step explanation:

by moving it 5 units down, A' will become (-4,-4), and a 180° would make A'' (4,4). (I haven't taken geometry in a few years, so if im wrong, I'm sorry)

Answer:

B

Step-by-step explanation:

I took the test

2, 6,10,...
Find the 39th term.

Answers

 the answer is 154 count by 4's

Step-by-step explanation:

14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162

Answer:

the answer is 154

Step-by-step explanation:

you add 4 every time

The midpoint of line segment AB is point M, located at (-18, 10). If the coordinates of A are (3, -3) . The coordinates of B are

Answers

Answer: 2

Step-by-step explanation:

Pls answer this quick! Thank you!

Answers

Answer:

The answer is -11 and -9 only

Step-by-step explanation:

least common denominator of 11/6 and 1/5

Answers

Answer:

The least common denominator would be 30.

Step-by-step explanation:

5- 5, 10, 15, 20, 25, 30, 35, 40

6- 6, 12, 18, 24, 30, 36 42, 48

The scale on a map js 1cm : 6.6 km the distance between two cities on the map is 18cm what is the actual distance between the two cities

Answers

Answer:

118.8 km

Step-by-step explanation:

Given

The scale 1 cm : 6.6 km

To find

18 cm

Solution

1 cm ⇔ 6.6 km1*18 cm ⇔ 6.6*18 km 18 cm ⇔ 118.8 km

HELP PLZ IT would mean a lot

Answers

what am i supposed to be looking at?

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Solve for w.
3w+2w= 10
Simplify your answer as much as possible.
W =

Answers

Answer:

3w+2w= 10

5w= 10

w = 10/5

w = 2

Answer:

w = 2

Step-by-step explanation:

3w+2w= 10

Combine like terms

5w = 10

Divide each side by 5

5w/5 = 10/5

w = 2

The linear function that is represented by which table has the same slope as the graph?

Answers

Answer:

c

Step-by-step explanation:

Answer: Option C

(C) or Taable 3

Step-by-step explanation:

ANSWER ASAP PLEASE!!!!!!!

Answers

D because 80% of 115 is 92

What's the answer for this problem number 6 and how did you get your answer?

Answers

[tex] \frac{7}{b + 5} = \frac{10}{5} \\ [/tex]

[tex] \frac{7}{b + 5} = 2 \\ [/tex]

Multiply the sides of the equation by ( b + 5 ) :

[tex]7 =2 \times (b + 5)[/tex]

[tex]7 = 2b + 10[/tex]

Subtract the sides of the equation minus 10 :

[tex]7 - 10 = 2b[/tex]

[tex] - 3 = 2b[/tex]

Divided the sides of the equation by 2 :

[tex]b = - \frac{3}{2} \\ [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Order the following from least to greatest: 37, -9, -14, 34, -47, -18, 26

Answers

-47, -18, -14, -9, 26, 34, 37

Solve the equation

∣x−2∣=∣4+x |

x=

Answers

Answer:

[tex]\large\boxed{\mathtt{x=-1}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to solve the equation for x.}[/tex]

[tex]\textsf{Note that there are lines in between both expressions, this is asking for the \underline{Absolute Value}.}[/tex]

[tex]\large\underline{\textsf{What is Absolute Value?}}[/tex]

[tex]\textsf{Absolute Value is exactly how it sounds like, it's the real value of a term.}[/tex]

[tex]\textsf{Absolute Value turns negative numbers into positive numbers.}[/tex]

[tex]\textsf{*A Negative Value isn't really the real value of a number. A Positive Value is.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt {Change \ from \ Negative \ to \ Positive.} \atop \boxed{{|-5| \rightarrow 5.}}[/tex]

[tex]\large\underline{\textsf{Keep the Absolute Values!}}[/tex]

[tex]\textsf{We shouldn't try to find the absolute value of the expressions first.}[/tex]

[tex]\textsf{Instead, identify 2 possible equations using Absolute Value.}[/tex]

[tex]\textsf{There could be 2 possible solutions for x.}[/tex]

[tex]\tt x-2=4+x[/tex]

[tex]\underline{\textsf{Or;}}[/tex]

[tex]\tt x-2=-(4+x)[/tex]

[tex]\large\underline{\textsf{Solve the First equation;}}[/tex]

[tex]\tt x-2=4+x[/tex]

[tex]\underline{\textsf{Add 2 to both sides of the equation;}}[/tex]

[tex]\tt x=6+x[/tex]

[tex]\textsf{There is \underline{no} solution for this equation. We should look at the second equation.}[/tex]

[tex]\large\underline{\textsf{Solve the Second equation;}}[/tex]

[tex]\tt x-2=-4-x[/tex]

[tex]\underline{\textsf{Add 4 to both sides of the equation;}}[/tex]

[tex]\tt x=-x-2[/tex]

[tex]\underline{\textsf{Add x to both sides of the equation;}}[/tex]

[tex]\tt 2x=-2[/tex]

[tex]\underline{\textsf{Divide each side by 2;}}[/tex]

[tex]\large\boxed{\mathtt{x=-1}}[/tex]

[tex]\textsf{Using Absolute Value, x = -1.}[/tex]

What is the value of -2.4 /1.5?
A -1.6
B. 1.6
C. -0.9

Answers

Answer: -1.6

-2.4 divided by 1.5 is -1.6

Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
If she rounds both values to the nearest ten, her estimate will be 800.
If she rounds both values to the nearest ten, her estimate will be 900.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000
If she rounds both values to the nearest ten, her estimate will be 1,600.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.

Answers

Answer:

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000 because if you take 88x12, your answer is 1056. so knowing that the closest answer to 1056 is 1000 not 900.

Hope it helped!

Answer:

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000.

Step-by-step explanation:

Simplify.
4(1 + 8 . 9) - 6^2

Answers

Answer:

Of what grade this is question

Which is the equation for the line in slope-intercept form if:
m = -3/2 : b = 5
y = 5x + (-3/2)
y=(-3/2)x+ 5
Oy+(-3/2) = 5x
y-5=(-3/2)x

Answers

the answer is y=(-3/2)x+5

this is because the slope and the y intercept is included in that one in the y=mx+b format.

Hey guys, can you please check if this answer is right? If it’s wrong, please try to answer it for me

Answers

Answer:

well done buddy it is correct..

Step-by-step explanation:

please mark me as the brainliest answer and please follow me for more answers to your questions and if you want to follow me you must first click on my name and then you will see follow button.. pls click on the follow button.

7х + Зу = 15
Slope intercept form steps

Answers

Answer:

y = -7/3x + 5

Step-by-step explanation:

7x + 3y = 15

- subtract 7x from both sides

3y = -7x + 15

- divide both sides by 3

y = -7/3x + 5

4x-5≥7 in interval notation

Answers

Answer:

4x - 5 > 7 = [3,∞)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

4x > 12

Divide each term by 4 and simplify.

x > 3

Convert the inequality to interval notation.

[3,∞)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale

Answers

Answer: Cost of  a giant cookies = $1.39

Cost of a cake= $6.95

Cost of a pie= $4.95

Step-by-step explanation:

Let price of a giant cookie = x

Then,

price of a cake = 5x

Price of a pie = 5x-2

Cost of  30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x

= 150x+200x-80+200x   [By distributive property a(b+c)=ab+ac]

= 550x-80

Given cost = $684.50

[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]

[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]

Cost of  a giant cookies = $1.39

Cost of a cake = 5 x $1.39  = $6.95

Cost of a pie = $6.95 -  $2 = $4.95

What would make the following equation true?
-4+_____=2m+(3m-4)

Answers

I think the correct answer would be 10

A sample of 87 glass sheets are measured for thickness. They have a sample mean of 4.20 mm and a sample standard deviation of 0.10 mm. What is the level of the confidence interval (4.185, 4.215)?

Answers

Answer:

83.85%

Step-by-step explanation:

The formula for confidence interval

= Mean ±( z × Standard deviation/√n)

Confidence Interval = Mean ± Margin of Error

Mean = 4.20mm

n = 87

Standard deviation = 0.10mm

z = ????

Hence:

Confidence Interval = Mean ± Margin of Error

Step 1

We find the Margin of Error

(4.185, 4.215) = 4.20 ± Margin of Error

4.20 - 4.185 = 0.015

4.215 - 4.20 = 0.015

Hence, Margin of Error = ± 0.015

Step 2

We find the z score

Margin of Error = z × Standard deviation/√n

±0.015 = z × 0.10/√87

± 0.015 = 0.0107211253z

z = ±0.015/0.0107211253

z = 1.39910686428

z score ≈ 1.4

Step 3

We find the confidence interval that corresponds to 1.4

Using the z table to find the Probability

P(z = 1.4) = 83.85%

Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%

Answer:

[4.1mm to 4.3mm]

Step-by-step explanation:

Sample size = 87 glass sheets

Sample mean = 4.2mm

Sample standard deviation = 0.1mm

Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean

[4.2 - 0.1] to [4.2 + 0.1]  = [4.1mm to 4.3mm]

True or faults is the number zero an additive identity

Answers

Answer:

it is true

Step-by-step explanation:

Answer:

it’s true

Step-by-step explanation:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean

Answers

Answer:

(a) The difference between Kate's IQ and the mean is 21

(b) The z score is 1.4

Step-by-step explanation:

Here is the complete question:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.

Step-by-step explanation:

(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.

Mean = 100

Kate's IQ = 121

Difference between Kate's IQ and the mean = 121 - 100 = 21

Hence, the difference between Kate's IQ and the mean is 21.

(b) To convert Kate's IQ score to a z score,

z score is given by the formula

[tex]z =\frac{x - \mu}{\sigma}[/tex]

Where [tex]x[/tex] is the score

[tex]\mu[/tex] is the mean

and [tex]\sigma[/tex] is the standard deviation

From the question,

[tex]x[/tex] = 121

[tex]\mu[/tex] = 100

[tex]\sigma[/tex] = 15

Then, the z score is

[tex]z =\frac{x - \mu}{\sigma}[/tex]

[tex]z =\frac{121 - 100}{15}[/tex]

[tex]z =\frac{21}{15}[/tex]

[tex]z =\frac{7}{5}[/tex]

z = 1.4

Hence, the z score is 1.4.

Select three ratios that are equivalent to 5:2
Choose 3 answers:

Answers

Answer:

10:4

35:14

55:22

that is my question ​

Answers

The Answer to this is 10 seconds

Find the missing factor.
80 X
640.000

Answers

The answer is 8.
640 / 80 =. 8
80 x 8 =. 640
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