Mathematics Middle School

water stations will be placed every 400 meters of a 5-kilometer race how many water stations are needed?

Answers

Answer 1
5 kilometers = 5000 meters
5000 m ÷ 400 = 12.5
so 13 water stations are needed

Related Questions

how to express 1/243 using a negative exponent other than -1

Answers

The exponent of 1/243  is [tex]3^{-5}[/tex].

What is a exponent and power.

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire expression 34 has power. Here, you can also learn about exponent laws. Power is essentially an expression that displays the same number or factor being multiplied repeatedly.

Given that,

[tex]\frac{1}{243}[/tex] , taking the prime factorization of 243

[tex]\frac{1}{243}[/tex]     = [tex]\frac{1}{3.3.3.3.3}[/tex]

         = [tex]\frac{1}{3^{5} }[/tex]

Write the power in negative form

[tex]\frac{1}{243}[/tex]     = [tex]3^{-5}[/tex]

Hence, The exponent of 1/243  is [tex]3^{-5}[/tex].

To learn more about the exponent from the given link:

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To express 1/243 with a negative exponent other than -1, write it as 3^-5 since 243 is 3 raised to the power of 5

To express the fraction 1/243 using a negative exponent, first recognize that 243 can be written as 3^5, since 3 × 3 × 3 × 3 × 3 equals 243. Therefore, 1/243 is the same as 1/(3^5). By the rules of exponents, this can be written with a negative exponent as 3^-5. Hence, 1/243 expressed using a negative exponent other than -1 is 3^-5

Bernard and Adriana grew sunflowers in their backyard. Bernard's sunflower grew 4.23 centimeters in one week and 8.91 centimeters the second week. Adriana's sunflower grew 15.12 centimeters in two weeks. Over two weeks, how much more did Adriana's sunflower grow than Bernard's?

Answers

Adriana's sunflower is 1.98 centimeters taller

Answer:

1.98 centimeter

Step-by-step explanation:

Hope this will help

Stefanie is painting her bedroom. She can paint square feet in of an hour. How many square feet can she paint in one hour?

Answers

Sorry but this question is worded very weirdly, could you reply to this with a simplier version?

PLEASE HELP ...... Geometry Homework, I'll give brainliest

Answers

There are a few facts we'll need to hold onto for this problem:

- Supplementary angles (two angles that form a straight angle when added) add to 180°
- The interior angles of a triangle add to 180°
- Sides opposite congruent angles in a triangle are also congruent
- Alternate interior angles are congruent when formed by a transversal through two parallel lines

With that in mind, let's get to the problem. First, what data have we been given?

Let's drop another point on the ground to the left of point T called S, so we can get all of this data together. We know that:

 [tex]AB = 2.4\ mi\\\overrightarrow{ST}||\overrightarrow{AC}\\\angle{ATS}=40\textdegree\\\angle{BTS}=80\textdegree[/tex]

We don't know the measure of ∠ATB, but we do know that it shares the larger angle ∠BTS (which is 80°) with ∠ATS (which is 40°). Since ∠ATB + ∠ATS = ∠BTS, we can clearly see that ∠ATB must also be 40°, so now we have the new data that ∠ATB = 40° to work with.

Next, notice that ∠BTS and ∠CBT are alternate interior angles, and the lines they rest on, [tex]\overrightarrow{ST}[/tex] and [tex]\overrightarrow{AC}[/tex], are parallel. This implies that ∠BTS and ∠CBT are congruent, which makes ∠CBT = 80°. 

∠CBT and its neighboring angle ∠ABT, when combined, form a straight angle, making them supplementary to one another. This means that ∠CBT + ∠ABT = 180°, or 80° + ∠ABT = 180°. Subtracting 80° from both sides, we see that ∠ABT = 100°.

We're almost done; we now bring our attention now to the triangle formed by the points ABT. What do we know about this triangle? We're given that one of its sides, AB, is equal to 2.4 mi; most recently, we determined that one of its angles, ∠ABT, was equal to 100°; and even earlier, we found that the second one of its angles, ∠ATB, was equal to 40°. We have two angles and a side, which, as I'm about to demonstrate, is more than enough for our purposes. If we've found the measures of two angles of triangle ABT, we can use the fact that a triangle's interior angles add to 180° to find the third angle, ∠BAT. We have:

∠ABT + ∠BTA + ∠BAT = 180°

Substituting ∠ABT and ∠BTA for the values we found for them:

100° + 40° + ∠BAT = 180°
140° + ∠BAT = 180°
∠BAT = 40°

We now know that ∠BAT and ∠BTA are congruent, which means that the triangle BTA is isoceles. This means that the sides opposite those angles will also be congruent. The side opposite ∠BTA is the line segment AB, which we know to be 2.4 mi, which means the side opposite ∠BAT, BT - the side we've been looking for - must also be 2.4 mi.

What is the value of x in the equation 2x+3y=36 when y = 6

Answers

The value of x is 9.
2x+3(6)=36
2x+18=36
     -18 -18
2x=18

2x/2=x
18/2=9
x=9

PLEASE HELP I WILL GIVE 50 POINTS
What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = ___ ´ (4 + 9)
4
8
12
13

Answers

32 + 72 = 104
4 + 9 = 13 
104 / 13 = 8
your answer would be 8
The answer is 8, because 8x4 = 32 and 8x9 = 72.

Hope this helps!
and May the Force Be With You

-Jabba

What is 0.6 equal to as a fraction

Answers

3/5s.

Because .6 is the same as 60/100. 60/100 reduces to 6/10s, which reduces further to 3/5s.

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction . Notice however that  is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

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You are going on a road trip over a distance of 3000 kilometers with three friends. The car consumes 6 liters of gas per 100 kilometers and gas costs $1.20,per liter.

Answers

180 liters and  $216.00 for gas.

If Amanda walks at an average speed of 2.72 miles per hour, how long will it take her to walk 6.8 miles?

Answers

it is 2.5
hope this helped

How many times smaller is 3 × 10-7 than 6 × 10-6?

Answers

3*10-7=23
6*10-6=54
it is 2.35 times smaller. 

use rounding to estimate 10 4/5 + 8 9/10
A. 19 1/2
B. 20
C. 18
D. 19

Answers

Your answer will be the letter b.)

Vertex F of ΔDEF has coordinates (−3, 7). If ΔDEF is reflected over the y-axis, what are the coordinates of vertex Fʹ?

Will give brainliest

Answers

The reflection will be on the other side of the y-axis.
Its coordinates will be (3, 7).

74=53-7x I have to solve for x and havent quite grasped the concept of algebra

Answers

If 74 = 53-7 • x you have to figure out the rest of the problem by working backward.
53 - 7 = 46
So you have to divide 74 and 46 to get x.
74/46 = 1.6086
You then multiply 1.6086 and 46 which is 73.995 which rounds to 74.
53-7 = 46; 74/46 = 1.6086; 1.6086 • 46 = 74

Hope this helped, if you need it explained more just ask!! :)

True or False: The sum of all the angles around a point is 180°.

Answers

this statement is false
Hope this helps






that statement will be false 

convert 2.5 to a fraction in simplest form

Answers

1. You times 2.5 by 10 (because there is 1 decimal point) which then equals 25/10.
2. Then you reduce 25/10 by 5, so it will be in simples form. And your answer is 5/2!

Hope this helped and Good Luck! :D

2.5 in fraction form is 25/10 .

2.5 in simplest form = 5/2 .

Given, Number = 2.5

Now , firstly convert 2.5 in fraction form.

2.5 = 25/10

GCF of 25 and 10 = 5

Divide 25 and 10 by 5

= 5/2

Hence the fraction in simplest form is 5/2 as it can not be further simplified .

Know more about fractions,

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A pair of parallel lines is cut by a transversal as shown below which of the following best represents the relationship between angles p and q

Answers

the answer is d becuase they are on opposite sides and always equal the same thing

Simplify .4 ^ square root of 6
-----------------------------
5 ^ square root of 6

Answers

Simplified the answer is in decimal form 0.00000026.
4^√6 / 5^√6

0.5789

hope that helps, God bless!

There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians in the Brass section. 1. How many musicians in all are in the String and Brass sections of the Symphony Orchestra?

Answers

35 - 29 = 6. 6+29+35 = 70
70 in the string and brass sections of the Symphony Orchestra.

What Is the y-intercept of f(x)=((1/4))^x

Answers

Undefined becuase anything other than 0 cannot be any power and become 0

Answer:

(0,1)

Step-by-step explanation:

there are more cups in 5 gallons than in 22 quarts true or false

Answers

cooorrect 

galloan would be 352 cups whilee

 the quarts would be 88 onli

What is the resluf of convertig 14 inches into centimeters? Remember that 1 inch =2.54 centimeters.

Answers

multiply 14 x 2.54

14 x 2.54 = 35.56 centimeters

One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t? A. 27°F B. 3°F C. -3°F D. -27°F

Answers

-15+12=-3 t=-15+12 so the answer is C.

What is 6.5 c =____ fl oz

Answers

 here you go :
6.5 c = 52 fl oz

hope i helped :-)

1 cup = 8 fluid ounces

6.5 cups x 8 = 52 fluid ounces

Identify the coefficient of the term -2mnp.

A. 2

B. -2

C. m

D. mnp

I think it is -2 but need a second opinion

Answers

Answer:

b -2

Step-by-step explanation:

The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.

The given term is -2mnp.

What is the coefficient of the term?

A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables.

A coefficient is the numerical factor.

Now, the coefficient of the term -2mnp is -2.

The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.

To learn more about the coefficient of the term visit:

https://brainly.com/question/17284963.

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If seven pencils cost $.84 find the cost of 10 pencils

Answers

Salutations!

If seven pencils cost $.84 find the cost of 10 pencils?

Lets solve this!

To solve this question, you need to first divide .84 ÷ 7 which gives you the answer 0.12. Then multiply 0.12 with 10 which gives you the cost of 10 pencils. 0.12 is the cost of only one pencil.

Lets forms this into statements ---

Cost of 7 pencils = $ .84

Cost of 1 pencil = $ 0.12

Cost of 10 pencil equals = .84 ÷ 7 = 0.12

                                      = 0.12 × 10 = 1.2

Cost of 10 pencils is $1.2

Hope I helped (:

Have a great day!

Final answer:

To calculate the cost of 10 pencils when seven pencils cost $0.84, you find the price per pencil by dividing $0.84 by 7, which equals $0.12 per pencil. Then, multiply $0.12 by 10 to get the total cost of 10 pencils, which is $1.20.

Explanation:

To answer the question, we first need to find the cost of one pencil. Since seven pencils cost $0.84, we can divide that amount by seven to get the cost of one pencil.

Here is the calculation:

Cost of seven pencils = $0.84

Cost of one pencil = $0.84 ÷ 7

Cost of one pencil = $0.12

Now that we know the cost of one pencil, we can find the cost of 10 pencils by multiplying this amount by 10.

Here is the calculation:

Cost of 10 pencils = $0.12 × 10

Cost of 10 pencils = $1.20Therefore, the cost of 10 pencils is $1.20.

Solve the equation. What is the value of x? x-6.8=356.3

Answers

the answer is 363.1 i used a calculater to find the answer. so 356.3+ 6.8 = 363.1 so x=363.1

To solve the equation x - 6.8 = 356.3, add 6.8 to both sides to isolate x, resulting in x = 363.1.

To solve the equation x - 6.8 = 356.3, we need to isolate the variable x. To do this, we can add 6.8 to both sides of the equation, effectively moving the 6.8 from the left side to the right.

Step-by-step:

Add 6.8 to both sides: x - 6.8 + 6.8 = 356.3 + 6.8Simplify both sides: x = 363.1

The value of x is 363.1.

HELP ME. I AM SOOO STUCK AND I DON'T WANT TO FAIL

Answers

We know that a circle has 360 degrees, so 120/360=1/3 of the pie (by dividing both the numerator and denominator by 120). 1/3 of 36 can be found by multiplying the two - 1/3*36=12. Next, for walking, 90/90=1 and 360/90=4, so 90/360=1/4. Next, 1/4*36=9, so 9 kids walk. Biking and people who take the car have no defined angles, so there is no way to solve this other than by estimating based off of the information shown. We have 36-(9+12)=36-21=15 people left. There seem to be more people taking a car than biking, but that's just how I see it. In addition, they seem to be pretty close in size.
Our (realistic) options for these are
7 and 8
6 and 9
5 and 10

Due to that I personally feel like their areas are pretty close together, and that more people take a car than bike, I think 7 people bike and 8 people take a car. 

If the sun approximately 1.5 * 10/11 meters from Earth how long does it take for light to reach earth

Answers

The sun is 1.5*10^11 METERS from the Earth. In that case it takes approximately 8.3 minutes for sunlight to reach Earth. 
t=(1.5*10^11/3.0*10^8)/60=8.33 minutes 
If you did want a hypothetical that puts the Earth at 1.5*10^11 kilometers from the sun, then it would take 8333.3 minutes for the sunlight to reach the "Earth's" surface. 
t=(1.5*10^14/3.0*10^8)/60=8333.3 minute

Answer:

500

Step-by-step explanation:

Acellus

got it wrong plss help and explain

Answers

Because it says "not black" we would do white marbles
There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20

Because the answer is wanted as a decimal divide 15 by 20
15/20=.75

There is a .75 chance that she will not draw a black marble

The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive?

Answers

The answer to3/4 of 240 is 180
Now, to solve this, you would need to cross multiply. The equation would look like this...
[tex] \frac{3}{4} [/tex] = [tex] \frac{x}{240} [/tex]

After cross multiplying, you would be left with the following. 
4x = 720

All you would have to do now is solve for x. 
[tex] \frac{4x}{4} [/tex] = [tex] \frac{720}{4} [/tex] = 180

The answer would be, the winner for class president received 180 votes. 

I hope this helps!
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