Mr. John took 5 hours to cover 3/5of a journey. He covered the remaining 200 km in 3 hours. What ishis average speed for the whole journey?

Answers

Answer 1

Given,

The time taken by Mr. john to cover 3/5 of the journey is 5 hours.

The distance covered by Mr, john in 3 hour is 200 km.

Consider,

The complete distance covered by the Mr john in the journey is x km.

According to the question,

\(\begin{gathered} x-\frac{3}{5}x=200km \\ 5x-3x=5\times200km \\ 2x=1000km \\ x=\frac{1000km}{2} \\ x=500km \end{gathered}\)

The total distance covered by the Mr. john in the journey is 500 km.

The distance covered by him in 3 hours is 200 km.

The distance covered by him in 5 hour is,

\(\frac{3}{5}x=\frac{3}{5}\times500=300km\)

The average speed of the whole journey is,

\(\begin{gathered} Average\text{ speed=}\frac{total\text{ distance}}{total\text{ time}} \\ =\frac{500}{5+3} \\ =\frac{500}{8} \\ =62.5km\text{ per hour} \end{gathered}\)

Hence, the average speed for the whole journey is 62.5 km per hour.


Related Questions

HELP ME please. i dont understand this.

HELP ME please. i dont understand this.

Answers

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

7.)
The temperature started out at 6° above zero and dropped 12° during the
Snowstorm that afternoon. By nighttime, the temperature had dropped another 10°.
What was the final temperature for the day?

Answers

Answer:

The final temperature for the day was -16 degrees.

Step-by-step explanation:

6-12= -6

-6-10= -16

Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY

Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY

Answers

i think it’s -3,0,0 but i’m not 100% sure

Step-by-step explanation:

\(f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0\)

If a function g is defined as
g(x) = 6 - 4x,
and y=g(x), what can we say about the relationship between x and y?
Select the correct answer below:

If a function g is defined asg(x) = 6 - 4x,and y=g(x), what can we say about the relationship between

Answers

Answer:

  (d)  y is dependent on x

Step-by-step explanation:

The relation ...

  y = g(x)

tells you that y is dependent on x; x is the independent variable.

Select the correct answer.
Which expression is equivalent to the glven expression?
(3m-4)^3(3m^5)
A. 81/m^2 B.27/m^7 C. 27/m^2 D.81/m^7

Answers

The answer for this question is D

The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (3m⁻⁴)³ (3m⁵)

Now, We can simplify as;

⇒ (3m⁻⁴)³ (3m⁵)

⇒ (3³m⁻¹²) (3m⁵)

⇒ (27m⁻¹²) (3m⁵)

⇒ 81 m⁻¹²⁺⁵

⇒ 81 m⁻⁷

⇒ 81 / m⁷

Thus, The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

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√38 I’m not sure how to solve these kinds of equations

Answers

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Perform the operation.
(-4x^2+ 3x + 3) - (4x^2 +9)

Perform the operation.(-4x^2+ 3x + 3) - (4x^2 +9)

Answers

Answer:

-8x^2+3x-6

Step-by-step explanation:

(-4x^2+ 3x + 3) - (4x^2 +9)

Distribute the minus sign

(-4x^2+ 3x + 3) - 4x^2 -9

Combine like terms

-8x^2+3x-6

I think the answer is 3x-6


Find the overall score for the student with the following weighted system and average
scores. Round to the tenth.
Weight Grade
Tests
55% 78.5
Homework
25% 80
Take home quizzes
15% 72
Participation
5% 50

Find the overall score for the student with the following weighted system and averagescores. Round to

Answers

Answer: 76.475

Step-by-step explanation:

___________weight(%) ___Grade

Tests _______55% ______78.5

Homework __25% ______ 80

Th quizzes__15% _______72

Participation_5% _______50

Overall score = Σ (weight% × grade)

Hence,

(55% * 78.5) + (25% * 80) + ( 15% * 72) + (5% * 50)

43. 175 + 20 + 10.8 + 2.5

= 76.475

Hence, overall score = 76.475

A chemist needs to mix a 12% acid solution with a 20% acid solution to obtain 160 ounces of a 15% acid solution. How many ounces of each of the acid solutions must be used?

Answers

Answer:

100 ounces of 12% solution and 60 ounces of the 20% solution.

Step-by-step explanation:

Let x ounces be the amount of 12% solution, then there will be 160-x ounces of the 20% solution.

So, we have the equation:

0.12x + 0.20(160 - x) = 0.15* 160

0.12x - 0.20x + 32 = 24

-0.08x = -8

x = 100.

So, it is 100 ounces of 12% solution and 60 ounces of the 20% solution.

10.
A recipe calls for of a cup of milk for 29 cookies. How many cups of milk are
needed to make 87 cookies?

Answers

The required number of cup of milk required to make 87 cookies.

What is recipe calls?

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

According to question:

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

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a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?

Answers

The fraction of the original passengers remaining on the bus is 11/21.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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50 là số chẵn hay lẻ

Answers

Answer:

Step-by-step explanation:

50 is even.

If number is divisible by 2, then it is even

I honestly am confused on this one

I honestly am confused on this one

Answers

Plot the graph on the graph

How many commutes are exactly 68 minutes

How many commutes are exactly 68 minutes

Answers

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Please hurry please

Please hurry please

Answers

Answer:

102

Step-by-step explanation:

M=102
102/51= 2
2< or equal to 2

Naji is trying to draw an isosceles triangle. He is
given point A at (-4,-2) and point B at (2,-2).
Plot these two points, then help Naji make the
isosceles triangle ABC by ploting point C. Give
your coordinates for point C. It must be on the
grid provided.

Answers

Answ

Step-by-step explanation:wirugf4

naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament

Answers

Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

In the figure shown, GM I1 MO
and E 1 MO. Which theorem can be
used to prove A GMO ~ A EOM?

In the figure shown, GM I1 MOand E 1 MO. Which theorem can beused to prove A GMO ~ A EOM?

Answers

The theorem that can be used to prove that both right triangles are congruent is: A. LL

What is the Leg-leg Congruence Theorem (LL)?

The LL congruence theorem states that if two legs of one right triangle are congruent to two corresponding legs of another right triangle, then both right triangles are congruent triangles.

From the image given, both triangles have the following:

Two pairs of congruent legs - GM ≅ EO and MO ≅ OM

Therefore, the theorem that can be used to prove that both right triangles are congruent is: A. LL

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Torah says he made to the development of Judaism.
Jewish Leader Action as Leader Contribution to Judaism
Abraham Start typing here..

Moses

David

Solomon

Torah says he made to the development of Judaism.Jewish Leader Action as Leader Contribution to JudaismAbraham

Answers

The development made to the Judaism is mentioned below;

Action as Leader;

Abraham;

Abraham's care for others is one of his leadership strengths. Abraham expressed his sorrow for Sodom and Gomorrah when the Lord informed him that they would be destroyed. He "stick his neck out for his people," as one who cares for others. He pleaded with God on their behalf.

Moses;

Early on, Moses realized he didn't have to handle everything by himself. He eventually succeeded as a leader by using delegation.

David;

As a man of God, David had learned to wait on the Lord, but he also had to learn how to be patient with those around him.

Solomon;

His name in Hebrew means peace and he used his wisdom to bring about peace in the world through deeds rather than conquest.

Contribution to Judaism

Abraham;

Before Abraham, people believed in multiple gods; Abraham was the first to preach that there is only one God. Ironically, Terach, Abraham's father, had made a fortune by selling idols of several deities.

Moses;

The Jews were delivered from slavery in Egypt by Moses, who also guided them to the Holy Land that God had promised.

David;

Many of the Old Testament Psalms are attributed to him; they were probably penned on his renowned lyre, upon which he was reputed to be a master.

Solomon;

As the Israelite monarch who constructed the first Temple in Jerusalem, Solomon is well-known. He was also the second and final king of a united Israel, which was at the height of its power during his rule (after his father, David).

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If A(0, 4), B(5, y), and AB = 13. What is y?

Answers

The required value of y for the given segment AB is given as y = 16, -8.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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Dylan makes $336 for 32 hours of work, and Angela makes $441 for 42
hours of work. What is the constant of proportionality? *

Answers

It’s the first question just to let you know

Hope this helps:)

Dylan makes $336 for 32 hours of work, and Angela makes $441 for 42hours of work. What is the constant

The demand equation for the Roland portable hair dryer is given as follows where x (measured in units of a hundred) is the quantity demanded per week and p is the unit price in dollars.
x = 15 ( 256 − p 2)(0 ≤ p ≤ 15)
(a) Is the demand elastic or inelastic when p = 5?elastic or inelastic is the demand elastic or inelastic when p = 10?elastic or inelastic
(b) When is the demand unitary? (Round your answer to two decimal places.) (Hint: Solve E(p) = 1 for p.)
(c) If the unit price is lowered slightly from $10, will the revenue increase or decrease?
increase or decrease
(d) If the unit price is increased slightly from $5, will the revenue increase or decrease?
Increase or decrease

Answers

Answer:

(a) When p = 5, the demand is inelastic and when p = 10, then the demand is elastic.

(b) The demand will be unitary when the price will be approximately equal to 9.24.

(c) If the unit price is lowered slightly from $10, then the revenue will increase.

(d) If the unit price is increased slightly from $5, then the revenue will decrease.

Step-by-step explanation:

We are given the demand equation for the Roland portable hairdryer where x (measured in units of a hundred) is the quantity demanded per week and p is the unit price in dollars.

\(x=15(256-p^{2} )\)  where; (0 ≤ p ≤ 15)

Firstly, we will find the elasticity of demand as only then we can identify that demand is elastic or not.

So, the formula for the elasticity of demand is given by;

          E(p)  =  \(-\frac{p \times f'(p)}{f(p)}\)

                   =  \(-\frac{p\times \frac{dx}{dp}[15(256-p^{2})] }{15(256-p^{2})}\)  

                   =  \(-\frac{p\times 15[0-2p] }{15(256-p^{2})}\)

                   =  \(\frac{30p^{2} }{15(256-p^{2})}\)

           E(p)  =  \(\frac{2p^{2} }{256-p^{2}}\)    

(a) When p = 5, then E(p) is given by;

            E(5)  =  \(\frac{2\times 5^{2} }{256-5^{2}}\)

                    =  \(\frac{50 }{231}\)  =  0.22 < 1

Since the elasticity at p = 5 is less than 1, so we can say that the demand is inelastic.

When p = 10, then E(p) is given by;

            E(10)  =  \(\frac{2\times 10^{2} }{256-10^{2}}\)

                    =  \(\frac{200 }{156}\)  =  1.28 > 1

Since the elasticity at p = 10 is more than 1, so we can say that the demand is elastic.

(b) The demand is said to be unitary when the value of price elasticity would be equal to 1, i.e.;

when E(p) = 1

          \(\frac{2p^{2} }{256-p^{2}}=1\)

          \(2p^{2} =256-p^{2}\)

          \(3p^{2} =256\)

           \(p^{2} =\frac{256}{3}\)

            \(p=\sqrt{\frac{256}{3} }\)  = 9.24

So, the demand will be unitary when the price will be approximately equal to 9.24.

(c) As we know that the price elasticity at $10 is elastic, i.e. E(10) > 1, this means that when unit price is lowered slightly from $10, then the revenue will increase because due to fall in price the demand will increase.

(d) As we know that the price elasticity at $5 is inelastic, i.e. E(5) < 1, this means that when unit price is increased slightly from $5, then the revenue will decrease because due to increase in price the demand will fall.

7
7.Find the missing side length m. Leave your answers as radicals in simplest form.

77.Find the missing side length m. Leave your answers as radicals in simplest form.

Answers

The values of the missing side lengths are m = 9 and n =  3√3/2

What are trigonometric identities?

Trigonometric Identities are defined as equalities involving trigonometry functions and holding true for the values of variables in a given equation.

The types of trigonometric identities are :

sinecosinetangentcotangentcosecantsecant

From the image given, we can see that the sides with measures are;

Hypotenuse = m

Opposite = 3√3

Adjacent = n

Using the sine trigonometric identity, we have;

sin 60 =  3√3/m

Find the angle

√3/2 = 3√3/ m

cross multiply

m√3 = 3√3 × 2

m = 6√3 × √3 / 3

m = 18/3

m = 9

Using the cosine identity

cos 60 = n/ 3√3

Find the angle

1/ 2 = n/ 3√3

cross multiply

2n = 3√3

Make 'n' the subject

n = 3√3/2

Thus, the values of the missing side lengths are m = 9 and n =  3√3/2

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Where can I watch My hero academia for free without any ads if you don't know then you could suggest something with adds

Answers

I don't think there is a way to watch ad-less

I watch it with Premium Hulu.

Answer:

Anime Plus

You can watch it ad free on Anime plus and you don't have to pay for it

Edit: My apologies mha is not on there  only the movies are

change .350 to hundredths

Answers

Answer:

.35

Step-by-step explanation:

Just drop the zero     .350 is    350 thousandths  = 35 hundredths

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis

Answers

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

PLEASE HELPPP WILL GIVE BRAINLEST?

PLEASE HELPPP WILL GIVE BRAINLEST?

Answers

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

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The measure of <1 =

040
160
O

The measure of &lt;1 =040160O

Answers

Answer:

40

Step-by-step explanation:

As the total circumference of a circle is 360 degrees, the measure of the unknown arc is 360-150-130=80 degrees.

So, by the inscribed angle theorem, angle 1 measures 40 degrees.

Simplify
8!/(8-2)


A. 720
b. 0.018
C. 8
d. 56
e. 40320
f. 1.333

Answers

Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

The opposite of -10 is. A. -(-(-10)). B. -10. C. 10. D. -|10|

Is the answer C.

Answers

Hi!

I would believe the answer is C. Seems the most practical.

So yeah, C!

Hope this helps!

~~PicklePoppers~~

Answer:

Yep your correct it's C

Step-by-step explanation:

Positive 10 is the opposite of negative -10

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