A marathon is 26.2 miles long. There is a water station every 114 miles along the race route and at the finish line. How many water stations are needed for this marathon?

Answers

Answer 1

Answer: 21 water stations

Step-by-step explanation:

From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.

To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:

= 26.2miles/1 1/4 miles

= 26.2 miles/1.25 miles

= 20.96

= 21 water stations


Related Questions

kyle preordered a playstation 5 for 499. he now only has $56 . how much money did he have before pre ordering the play station

Answers

Answer:

He had 499 + 56 = 555

Step-by-step explanation:

Answer:

Kyle had $555 before preordering his PlayStation 5.

Step-by-step explanation: If Kyle spent $499, and has $56 left, you add the two values together. 499+56= 555. Therefore, Kyle had $555 before preordering his PlayStation.

Last one (for now)
Which of the following relations describes a function?
A.
{ (-1, -2), (-2, -1), (1, 2), (2, 1) }

B.
{ (1, 1), (1, 2), (2, 1), (2, 2) }

C.
{ (1, -1), (1, 1), (2, -1), (2, 1) }

D.
{ (0, 0), (0, 1), (1, 0), (1, 1) }

Answers

Answer: A

Hope this helps :)

Answer:

A

Step-by-step explanation:

I NEED HELP ASAP 17 points and BRAINLIEST!!!!!!!!!!

Answers

Answer:

1st 3rd and 4th

Step-by-step explanation:

I just did that

Solve the equation ax+b=c for a in terms of x, b, and c

Answers

answer:

a=c/x-b

Step-by-step explanation:

ax+b=c isolate a

a+b=c/x divide b on both sides

a=c/x-b subtract b on both sides

whats 3/7 divided by 2/3

Answers

Answer:

3/7 ÷ 2/3 = 9/14

Step-by-step explanation:

When we divide two fractions, such as 3/7 ÷ 2/3, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

A printer prints 28 photos in 8 minutes. How many minutes does it take to print 21 photos?

Answers

Answer:

6 min.

Step-by-step explanation:

ratio and proportion:

28 photos    =    21  photos

8 min                     x min.

21 (8) = 28 (x)

x = 168 / 28

x = 6 min.

The answer is 6 minutes

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1/3
of a day. At what rate does this bamboo grow?

Answers

Answer:

The bamboo grows at a rate of 90cms a day

Step-by-step explanation:

1/3 of a day = 30cms

3/3 of a day = 30 * 3 cms = 90 cms

Hope this helps, Thank you!

The bamboo grows at a rate of 3.75 centimeters per hour.

What is Division?

A division is a process of splitting a specific amount into equal parts.

To find the rate at which the bamboo grows, we can use the formula:

rate = distance/time

Here, the distance is 30 centimeters, and the time is 1/3 of a day, which is equivalent to 8 hours. Therefore, we have:

rate = 30 centimeters / 8 hours

Simplifying, we get:

rate = 3.75 centimeters per hour

Therefore, the bamboo grows at a rate of 3.75 centimeters per hour.

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Algebraically solve the following system of equations.
(x - 2)2 + (y - 3)2 = 16
x + y - 1 = 0

Answers

The solutions to the system of equations are (2, -1) and (-2,3)

How to solve the system of equations?

The equations are given as:

[tex](x - 2)^2 + (y - 3)^2 = 16[/tex]

x  + y - 1 = 0

Make y the subject in x  + y - 1 = 0

y = 1 - x

Substitute y = 1 - x in [tex](x - 2)^2 + (y - 3)^2 = 16[/tex]

[tex](x - 2)^2 + (1 - x - 3)^2 = 16[/tex]

Evaluate

[tex](x - 2)^2 + (-x - 2)^2 = 16[/tex]

Expand the equations

[tex]x^2 - 4x + 4 + x^2 + 4x + 4 = 16[/tex]

Evaluate the like terms

[tex]2x^2 + 8 = 16[/tex]

Subtract 8 from both sides

[tex]2x^2 = 8[/tex]

Divide by 2

[tex]x^2 = 4[/tex]

Take the square roots of both sides

x = ±2

Substitute x = ±2 in y = 1 - x

y = 1 - 2 = -1

y = 1 + 2 = 3

Hence, the solutions to the system of equations are (2, -1) and (-2,3)

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what expression is equivalent to 3a - 2a x 4a +6a

Answers

Answer:

a (9 - 8 a x)

Step-by-step explanation:

Simplify the following:

3 a - 2 a x×4 a + 6 a

-2 a x×4 a = -2 a^2 x×4:

3 a + -2 a^2 x×4 + 6 a

-2×4 = -8:

3 a + -8 a^2 x + 6 a

Grouping like terms, 3 a - 8 a^2 x + 6 a = -8 a^2 x + (3 a + 6 a):

-8 a^2 x + (3 a + 6 a)

3 a + 6 a = 9 a:

-8 a^2 x + 9 a

Factor a out of -8 a^2 x + 9 a:

Answer: a (9 - 8 a x)

The expression that is equivalent to [tex]3a - 2ax \times 4a +6a[/tex] is: [tex]\mathbf{a(9 - 8ax)}[/tex]

Given the expression:

[tex]3a - 2ax \times 4a +6a[/tex]

To find an expression that is equivalent to the above expression, we will need to simplify the expression.

Multiply

[tex]3a - 2ax \times 4a + 6a\\\\3a - 8a^2x + 6a[/tex]

Add like terms together

[tex]3a + 6a - 8a^2x\\\\9a - 8a^2x[/tex]

Simplify the expression further by factoring out

[tex]a(9 - 8ax)[/tex]

Therefore, the expression that is equivalent to [tex]3a - 2a \times 4a +6a[/tex] is [tex]\mathbf{a(9 - 8ax)}[/tex]

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I need to know what x equal? some1 help

Answers

Step-by-step explanation:

Angles DE and AB are alternate angles, they have the same angle values :)

Here is the equation: (6x-12)+(7x+1)= 10x+25

Solve:

13x-11=10x+25

3x=36

x=12

Hope this helps :)

Answer:

the answer is going to be x=12

How many ways can 7 paintings be lined up on a wall horizontally?

Answers

Answer:

I think in 49 ways by changing each other

x - 9 = 6

The solution to x =

Answers

Answer:

x=15

Step-by-step explanation:

15-9=6

Answer:

x=15

Step-by-step explanation:

6+9=15

......................................................................................................................................................

Answers

Answer:

please be more specific

Not sure what the student did wrong here.

Answers

There all correct ....

Step-by-step explanation:

The slope of the perpendicular line is the opposite inverse.  So the student should have used -1/4 as the slope of the perpendicular line, not 1/4.

ILL MARK BRAINLIEST

Simplify the expression below. 10−2⋅32+13

Answers

Answer:

if you are multiplying the 2 and the 32, the answer would be -41

Step-by-step explanation:

hope this helps! :) :) :) (please give me brainliest!)

Answer:

- 41

Step-by-step explanation:

10 - 2 · 32 + 13

Multiply first because of PEMDAS

10 - 64 + 13

- 54 + 13

- 41

-----------------------------------------------------------------------------

If that's not the answer you wanted, you might have forgot to type in the parenthesis.

Hope this helped!!!

how does 1+1=2 (if you want a lot of points)

Answers

Answer:

1 + 1=2

Step-by-step explanation:

1 and 1 add to 2


Two points on the graph of the linear function f are (0,5) and (3,8). Write a function g whose graph is a reflection in the x-axis of the graph of f.

Answers

Answer:

Step-by-step explanation:

As first step we must obtain the equation of the line. According to Analytical Geometry, we can get a equation of the line by knowing two different points. A linear function is represented by the following expression:

[tex]y = m\cdot x + b[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

If we know that [tex](x_{1}, y_{1}) = (0, 5)[/tex] and [tex](x_{2}, y_{2}) = (3, 8)[/tex], the following system of linear equations is formed:

[tex]5 = 0\cdot m + b[/tex]

[tex]b = 5[/tex] (Eq. 1)

[tex]8 = 3\cdot m + b[/tex]

[tex]3\cdot m + b = 8[/tex] (Eq. 2)

From (Eq. 1) in (Eq. 2) we get the value of [tex]m[/tex]:

[tex]3\cdot m + 5 = 8[/tex]

[tex]3\cdot m = 3[/tex]

[tex]m = 1[/tex]

The equation of the line that contains the points (0, 5) and (3, 8) is [tex]f(x) = x + 5[/tex].

As next step we must apply a reflection in the x-axis, whose operation is defined as follows:

[tex](x', y') \longrightarrow (x, -y)[/tex]

That is:

[tex]x' = x[/tex]

[tex]y' = -y[/tex]

Then, the function [tex]g(x)[/tex] is [tex]g(x) = -x-5[/tex]. We plot each function and include the result in the attachment below.

Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an
average speed of 40 miles per hour, the same trip takes 2.5 hours.
If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? Round your
answer to the nearest hundredth, if necessary.
O 2.22
O 2.25
4.44
4.50

Answers

Answer:

option A is the correct answer.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

i took a test and that was right

2. Aqueous cleaners are
parts cleaning agents.

Answers

Answer:

water based

Step-by-step explanation:

trust

Find the inverse of the function y = x2 - 12.
O
y= "7-12
μ Ο Ο
O
y=+*+ 12
oy-IV-12
Oy=*+12
DONE

Answers

Answer:

[tex] x = \pm\sqrt{y + 12}[/tex]

Step-by-step explanation:

[tex]y = {x}^{2} - 12 \\ y + 12 = {x}^{2} \\ \pm\sqrt{y + 12} = x \\ x = \pm\sqrt{y + 12} \\ is \: the \: required \: inverse \: function[/tex]

The inverse of the function is given by y = ± √( x² - 12 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

y = x² - 12   be equation (1)

On simplifying , we get

To calculate the inverse of the function ,

Interchange the value of x with y , we get

x = y² - 12

On solving for y , we get

y² = x + 12

Taking square roots on both sides , we get

y = ± √( x² - 12 )

Hence , the inverse of the function is y = ± √( x² - 12 )

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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form? y = 9 (x + one-half) squared minus thirteen-fourths y = 9 (x + one-half) squared minus 1 y = 9 (x + one-half) squared + five-fourths y = 9 (x + one-half) squared minus five-fourths

Answers

Answer:

It's A.

Step-by-step explanation:

Answer:

y = 9 (x + one-half) squared minus thirteen-fourths

Step-by-step explanation:

i hope

Seventeen less than three times a number is less than four times the number decreased by nine.

Answers

Answer:  x > -8

Step-by-step explanation:

3x - 17 < 4x -  9   subtract 3x from both sides, and add 9 to both sides

-3x + 9 < -3x + 9

0  - 8   <  x  +  0      Rewrite and reverse the sign to simplify

     x > -8

     

Can some tell me what does x equal?

Answers

2x-7 i think i rlly hope it’s right

Answer:

x=10

Step-by-step explanation:

A straight line has an angle of 180 degrees. To solve for x we can add all the given angles and set them equal to 180.

[tex]180= 5x-1+9x+8+2x+13[/tex]

Then combine all the common factors

[tex]180=16x+20[/tex]

And then you can solve for x

[tex]180= 16x+20\\160=16x\\10=x[/tex]

To check if x is correct you can plug in 10 to each equation. If all the equations add up to 180, then x is correct

[tex]5(10)-1= 49\\9(10)+8= 98\\2(10)+13= 33\\\\49+98+33=180[/tex]

Type the missing number. 7 + N=13 N=​

Answers

Answer:

N = 6

Step-by-step explanation:

7 + N = 13

subtract 7 from both sides

N = 6

hope this helps

Hi!

Your answer will be: N=6

Reason being: 7+6=13

Therefore, the answer is 6.

Hope this helps!

Let me know if you need anymore help, I'd be delighted to!

Yours truly,

~~~Pickle Poppers~~~

A coordinate plane. A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? a =

Answers

Step-by-step explanation:

it would be one

Answer:

3

Step-by-step explanation:

I don't usually get stuck on stuff like this bu For whatever reason I have no idea
Part A: If (72)x = 1, what is the value of x? Explain your answer.

Part B: If (70)x = 1, what are the possible values of x? Explain your answer.
No rush I just need some help

Answers

Answer:

1/72=x (part a)

1/70=x (bart b)

Step-by-step explanation:

Divide 1 by 72 for part a, and divide 1 by 70 for part b.

Answer:

the answer is x= -1

Step-by-step explanation:

I know this because 72x-1 is the same as 72 divided by 1 which is 1

what is ratios and how is it solved​

Answers

A ratio is how many times one number can go into another for example 1:2 is a ratio so say you had 10 and 20 what is the ratio of ten to 20 it would 1:2 because 10 is half of 20 and half of 2 is one

6( (5)-(7) )
________
(2)

Answers

Answer:

-12

Step-by-step explanation:

[tex]6( (5)-(7) )\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(\left(5\right)-\left(7\right)\right)\:\\:\quad -2\\\\=6\left(-2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\left(-2\right)\:\\:\quad -12\\\\=-12[/tex]

Givenh (x) = x2 – 4whatish (6)?

Answers

Answer:

h(6) = 32

Step-by-step explanation:

h (x) = x^2 – 4

h(6) =

Let x = 6

h (6) = 6^2 – 4

       = 36 -4

       = 32

I WILL GIVE BRAINLIEST TO FIRST PERSON THAT ANSWERS... HURRY!!
The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
12 weeks
16 weeks
22 weeks
26 weeks

Answers

Answer:

16 weeks

Step-by-step explanation:

just took test today hope this help mark me as brailist and add me

Answer:

16 weeks

Step-by-step explanation:

[tex]y = -27x + 577[/tex]

Since y represents the amount of money left in her account, we can replace it with $145 to solve for x (number of weeks)

[tex]145=-27x+577[/tex]

Switch sides:

[tex]-27x+577=145[/tex]

Subtract 577 from both sides:

[tex]-27x+577-577=145-577\\[/tex]

[tex]-27x=-432[/tex]

Divide both sides by -27:

[tex]\frac{-27x}{-27}=\frac{-432}{-27}[/tex]

[tex]x=16[/tex]

After 16 weeks, Alma will have $145 left in her account.

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