A marathon is 26.2 miles. How many hours would it take a runner whose average speed is 4.25 meters/sec to complete a marathon?

Answers

Answer 1

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

How long will it take the runner to complete the marathon?

Speed is simply distance traveled per unit time.

Speed = distance / time

Given the data in the question;

Distance = 26.2 milesSpeed = 4.25m/sTime t = ?

First, convert the unit of distance from miles to meter.

Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m

Now, plug the values into the equation and solve for time.

Speed = distance / time

4.25m/s = 42164.708m / time

Time = 42164.708m ÷ 4.25m/s

Time = 9921.1077647s

Next, convert to hours,

Time = 9921.1077647 ÷ ( 60 × 60 )

Time = 9921.1077647 ÷ 3600

Time = 2.76 hours

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

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Related Questions

solve 2/43=t/13 a. 2/559 b. 43/26 c.559/2 dm 26/43

Answers

Option D 26/43 .

Given equation 2/43=t/13

To solve these type of question we have to follow some steps

that are as follows

Multiply all terms by the same value to eliminate fraction denominators

same value is 559 ....so multiply with 559 both sides

2/43=t/13

559×2/43 = 559×t/13 (by multiplying in LHS and RHS with same value)

Cancel multiplied terms that are in the denominator

13 ×2=43t

Multiply the numbers

26=43t

Divide both sides by the same factor

26/43=43t/43

Simplify

Cancel terms that are in both the numerator and denominator

Move the variable to the left

t=26/43 is the answer.

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help me with this ques. (need solution and answer both) thanks so much <3

Answers

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.) Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

which of these objects are malleable check all that apply
Tin fork and knife from a camping set
Antique ceramic vase
Steel pole fence post
Marble sculpture
glass tabletop
Copper coin

Answers

The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

What is malleable?

A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

It is given that:

The list of objects is given in the question.

As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.

Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.

Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

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(a) Write an expression for a number that is
three more than r.
.

Answers

Answer:

r+3

Step-by-step explanation:

r is an expression. To get an expression that is 3 more, just add 3

r+3

what is the midpoing of (-5,4) and (7,-5)

Answers

Answer:

(1,-1/2)

Step-by-step explanation:

Add both x values and divide by 2

Add both y values and divide by 2

( -5+7 )/2 = 1

(4 - 5)/2 = -1/2

(1,-1/2)

Pls help! shannon is designing a new rectangular flag for the school's color guard and is determining the angles at which to cut the fabric. she wants the measure of 22 to be three times as great as the measure of z1. she thinks the measures of 23 and 24 should be equal. finally, she wants the measure of 26 to be half that of 25. determine the measures of the angles. 3

Answers

The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -

∠2 = 3 ∠3

∠2 = 3 ∠1

∠1 + ∠2 = 90

∠1 + 3 ∠1 = 90

4 ∠1 = 90

∠1 = 22.5°

∠2 = 90 - ∠1

∠2 = 90 - 22.5

∠2 = 67.5°

According to Shannon, ∠3 = ∠4

∠3 + ∠3 = 90

2 ∠3 = 90

∠3 = 45° = ∠4

∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.

67.5 = 1/2 × ∠5

∠5 = 67.5 × 2

∠5 = 135°

Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

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Y is inversely proportional to the square of x. if y=3 when x=3 then y =1/3 when x is _______. help me isuck at proportionals

Answers

Y=k(proportionally constant)/x^2
put the values of y and x
3=k/3^2
3=k/9
3*9=k
27=k

put the value of k in the first equation
Y=27/x^2
now this is the main equation

put y =1/3 and find x using main equation
1/3=27/x^2
cross multiply
x^2=81
take square root on both sides
x= ± 9 or -9 and 9

Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold
400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school:

How many Pre-sale Tickets tickets must she sell to make her goal?
A)400
B)300
C)250
D)100

Answers

The number of presales tickets can be obtained as 300. The correct option is (B).

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Since, total number of people are 400.

Suppose the number of pre-sales tickets be x.

Then, the number of at door tickets is given as 400 - x.

As per the question, the following equation can be written for total money raised as,

⇒ 10x + 20(400 - x) = 5000

⇒ 10x = 3000

⇒ x = 300

Hence, the number of pre-sales tickets is given as 300.

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Answer: The answer would be 100.

Step-by-step explanation:

Which table has a constant of proportionality between y and x of 0.3?

Answers

Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

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The following table gives a partial set of values of a polynomial function. x −2 −1 0 1 2 3 g(x) 14 2 0 4 6 −2 Between which two values would a relative minimum most likely occur? (2 points) −2 and 0 0 and 2 −1 and 1 1 and 3

Answers

From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

Between which two values would a relative minimum most likely occur?

Here we have the table:

x: -2, -1, 0, 1, 2, 3g(x): 14, 2, 0, 4, 6, -2

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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can someone help me with this, i don’t understand

Answers

Answer:

Step-by-step explanation:

This is just a complicated method to do ratios and proportions

use the given x and y values and the ratio will be determined by k.

Then use that k and the second x value to find y.

-8 = k(20)

k = -2/5

Next part

y = (-2/5)(-4)

y = 1.6

What sentence represents the number of test questions in the problem
below?
A test is worth 50 points. Multiple-choice questions are worth point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice questions plus the number of
short-answer questions is 50.
B. The number of multiple-choice questions minus the number of
short-answer questions is 50.
• C. The number of multiple-choice questions times the number of
short-answer questions iS 20.
D.
The number of multiple-choice questions plus the number of
short-answer questions is 20.

Answers

Answer:

Step-by-step explanation:

The number of questions is 20; it's the total points that are worth 50 and the question is asking for number of questions

What is the absolute value of:

-3|2y-3|+2=-20

Answers

Answer:

Exact Form:

y = 31/6, −13/6

Decimal Form:

y = 5.16,−2.16

Mixed Number Form:

y = 5 1/6,−2 1/6

Solve the equation −108 = 6x for x.

Answers

x = -18

(-108/6 = -18)

Answer:

[tex] \sf \large \: x = −18[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

−108 = 6x

Step 1: Flip the equation.

6x = −108

Step 2: Divide both sides by 6.

6x/6 = −108/6

x = −18

Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step

A. Y = (x - 2)^2 - 3

B. Y = (x + 2)^2 - 3

C. Y = - ( x - 2 )^2 - 3

D. Y = 1/2 ( x + 2)^2 - 3

Answers

The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

Which equation best represents the graph shown below?

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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If there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
• A. It loses purchasing power.
• B. It changes from fiat money to commodity money.
•
C. It changes from commodity money to fiat money.
•
D. It gains purchasing power.
SUBMIT
Mathematics of personal finance

Answers

The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.

What is inflation?

Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.

This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.

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Evaluate the function.
ƒ(x) = −x² − 4x – 12
Find ƒ(-7)

Answers

Given ~

[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]

[tex] \: [/tex]

put the value of x = -7 in given function ~

[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]

[tex] \: [/tex]

[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]

[tex] \: [/tex]

[tex]\tt \: f( - 7) = - 21 - 12[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]

[tex] \: [/tex]

hope helps ~

Four decimal fractions that are smaller than 0.5

Answers

Answer: 0.4<0.5

Step-by-step explanation:

Find the distance between the points (1, 0) and (-3, 2)

Answers

The answer would be the square root of 20 or 4.47213595(simplified 4.47)

Using the distance formula
Then solving it

Answer:

the distance is 4 unit squares

Guys pls help solve 8i. I have a huge test tomorrow
Also pls show full working out bc yeah

Answers

Answer:

7/8

Step-by-step explanation:

This is a counting exercise. Think of the 200 persons that you have to separate into two groups:

1) A group that satisfies the condition of the question

2) A group that does not satisfy the condition

Then, count how many persons are in group 1, and divide that by the total (200). That is your probability.

For (i), you will find 175 persons in group 1. Even though there are many persons with not blue AND not fair hair, they are only in the group once, so don't count them double.

Then 175/200 = 7/8

In fact, you could reverse the question by counting how many people do not satisfy the condition. That group are the persons that have both blue eyes and fair hair. That is the only way to not satisfy the condition. That amount is 25, you can read it from the table.

The chance of being in that group is 25/200 = 1/8.

P(group 1) + P(group 2) = 1

So you now have two ways of getting your answer.

P(group 1) = 1 - 1/8 = 7/8.

When the sample of participants is reflective of the characteristics of the population, it is said to be?

Answers

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.

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Solve the following equations

2(3x - 1) + 2(4x+5) =8

Answers

Answer

x = 0

____________

Work

[tex]2\left(3x-1\right)+2\left(4x+5\right)=8\\2\left(3x-1\right)+2\left(4x+5\right)\\2\cdot \:3x-2\cdot \:1\\2\cdot \:3=6\\2\cdot \:1=2\\=6x-2\\=6x-2+2\left(4x+5\right)\\2\left(4x+5\right)\\2\cdot \:4x+2\cdot \:5\\2\cdot \:4=8\\2\cdot \:5=10\\=8x+10\\=6x-2+8x+10\\6x+8x-2+10\\14x-2+10\\14x+8\\14x+8=8\\14x+8-8=8-8\\14x=0\\\frac{14x}{14}=\frac{0}{14}\\x = 0[/tex]

_____________

Answer:

x = 0

Step-by-step explanation:

Given equation,

→ 2(3x - 1) + 2(4x + 5) = 8

Now the value of x will be,

→ 2(3x - 1) + 2(4x + 5) = 8

→ 6x - 2 + 8x + 10 = 8

→ 14x + 8 = 8

→ 14x = 8 - 8

→ x = 0/14

→ [ x = 0 ]

Hence, the value of x is 0.

A) ((7.4), (6, 3). (5, 2)}
Function?
Explain:

Answers

Answer:

Yes

Step-by-step explanation:

This function is called a discrete function since the function isn't continuous like a line but consists of individual points.

Also, the points in the function don't share the same x-coordinate, so the function passes the vertical line test.

The table below shows numerical summaries for the length of dogs' tails in inches (measured from hip bone to tail
tip) for several breeds of dogs.
Which of the following statements is true?
This is a skewed-left distribution, because the mean is less than the median.
O This is a skewed-right distribution, because the mean is less than the median.
This is a skewed-left distribution, because the mean is greater than the median.
This is a skewed-right distribution, because the mean is greater than the median.
Because the mean is the same as the median, this distribution is roughly symmetric.

Answers

The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

Given the mean and the median of a distribution, how we classify it's skewness?

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The mean is of 10.4.The median is of 13.4.

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

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x - 4b

this is about algebra I had a doubt please answer this as well as the question above
Do variables have values? Like would they have a value of 1?

Answers

Answer: YES

Step-by-step explanation:

Variable have values it can be constant or changing.

for example if it is assigned a constant value 5 then it is a constant

if it has a function that varies from one value to another then it too has value but it frequently changes.

Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.

They may or may not have a value of 1 depending on what values you are assigning to them

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RSV has coordinates R(2,1), S(3,2), V(2,6). A translation maps point R to R' at
(-4,8). What are the coordinates for S' and V' for this translation?

Answers

Answer:

S' (- 3, 9 ) , V' (- 4, 3 )

Step-by-step explanation:

consider the coordinates of R and R'

R (2, 1 ) , R' (- 4, 8 )

2 → - 4 in the x- direction is - 6

1 → 8 in the y- direction is + 7

then the translation rule is

(x, y ) → (x - 6, y + 7 )

S (3, 2 ) → S' (3 - 6, 2 + 7 ) → S' (- 3, 9 )

V )2, 6 ) → V' (2 - 6, 6 + 7 ) → V' (- 4, 13 )

How long will it take
you to
drive 135 miles at a speed of
45 miles per hour?

Answers

Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

Step-by-step explanation:

Define Time and Distance and Speed:

The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as

Distance ∝ Time (Eq. 1)

The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.

Speed ∝ Distance (Eq.2)

Speed∝1/Time (Eq.3)

Then, we can represent each parameter through the following equations:

Speed =Distance/Time

Distance=Speed × Time

Time =Distance/Speed

We can write:

Distance covered by driving: d=135 miles

Driving speed: s=45 mph

Recall the formula for the relationship of time, distance, and speed.

Time =Distance/Speed

Substitute d=135 and s=45 into the above formula, and simplify.

t=d/s

t=135/45

t=3 hours

Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

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the table gives info about number of people voting for each part at an election there are 52852 people who can vote target was 88% of people who can vote was the target met maths soulotion

Answers

The target of achieving 88% votes from people is not achieved

Given that the golden party got 12598 votes, the pink party got 9112 votes, the brown party got 20059 votes and the purple party got 4466 votes. and 52,852 people can vote

The total number of people participated in voting=12598 + 9112 + 20059 + 4466

The total number of people who participated in voting=46,235

Percentage of people who participated in voting= [tex]\frac{46235}{52852}[/tex]×100

The percentage of people who participated in voting=87.5%

The target is 88%, 88%>87.5% i.e. lesser than the actual voting percentage

Therefore, The target of achieving 88% votes from people is not achieved

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PLEASE HELP ASAP

i would really appreciate it!

Answers

Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.

Blue: 1/8.Red: 3/8.White: 4/8.

Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:

Red: 3/7.White: 4/8.

The same logic is applied for the other branches given in the picture at the end of the question.

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What is 8-6= for the sum

Answers

The value and the summation expression are 2 and -6 + 8

How to determine the value and the summation expression?

The expression is given as:

8 - 6

When expressed as a sum, the expression can be rewritten as

-6 + 8

When the expression is evaluated, we have

-6 + 8 = 2

Hence, the value and the summation expression are 2 and -6 + 8