The PTA placed a trail marker in the ground every five hundred yards. Every eight hundred yards the PTA set up a water station. What is the shortest distance a runner will have to run to see both a water station and trail marker at the same location?

Answers

Answer 1

Answer:

3600.

Step-by-step explanation:

There will be a trail marker at the following distances from the start of the trail.

400,800,1200,1600,2000,2400,2800,3200,3600,4200 and beyond

There will be water stations at the following distances from the start of the trail.

900,1800,2700,3600,4500 and beyond.

The first time that there will be a trail marker and a water station at the same point will be 3600, that is the first multiple of 400 and 900.


Related Questions

5 points, brainliest, and a 5-star rating.

Answers

Answer:

ill put them in order fof what they are from top to bottom

Step-by-step explanation:

5,2 ,1, 3, 4. and it starts from the 78 cents being equal to 5 they are in order.

Would it be B? Let me know

Answers

Answer:

whats the question?

Step-by-step explanation:

PLEASE PUT THEM IN ORDER :P

Answers

Answer:

Denial stage, personal behavior stressors, self fulfilling need, life situations, acceptance stage

Step-by-step explanation:

order from least to greatest 1/3, 5/12/, 1/6, 0.25

Answers

answer:

1/6, 0.25,  1/3,  5/12

step-by-step explanation:

whenever i have to order fractions least to greatest, i put them in decimal form. so 1/3 into a decimal would be 0.3333333; 5/12 into a decimal would be 0.4166666; 1/6 would be 0.1666666; and 0.25 is already a decimal. so it'd be 1/6, 0.25, 1/3, 5/12

3/5k - 5 = 7/10k HURRY

Answers

Answer:

k = -7

Step-by-step explanation:

Given the expression

3/5k - 5 = 7/10k

We are to find the value of k

Cross multiply

3(10k) = 7(5k-5)

30k = 25k - 35

30k - 25k = -35

5k = -35

k = -35/5

k = -7

Hence the value of k is -7

Whats the answer? These are the answer choices.

A.The slope of function 1 is 3 greater than the slope of function 2.
B.The slope of function 1 is 9 greater than the slope of function 2.
C.The slope of function 2 is 3 greater than the slope of function 1.
D.The slope of function 2 is 9 greater than the slope of function 1.

Answers

I believe that the correct answer is B

what is the slope of this graph? it has to be simplified.

PLEASE ANSWER ASAP

Answers

Answer:

Linear

Step-by-step explanation:

It just is :)))))

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!


The population of a town is growing by 2% every 3 years. There were
1,000 people living in the town in 1990. Which equation models the
population of the town, p, t years after 1990?

Answers

Answer:

Option B

Step-by-step explanation:

There are 1,000 people to start. It's growing by 2% every three year, so that would be 1.02%.

So p=1,000(1.02)^1/3

Answer:

b

Step-by-step explanation:

Solve the system of linear equations by elimination.

−x+y=4
x+3y=4

please explain

Answers

Y=1. Let me know if you need more of an explanation.

Answer: y = 2   x = -2

Step-by-step explanation:

-x + y = 4

x + 3y = 4

Since x and -x are opposite, we can use the system of elimination

To do that, we add the first equation and the second equation together

-x + y = 4

      +

x + 3y = 4

      ↓

4y = 8

Now we solve for y

4y = 8

Divide both sides by 4

y = 2

Since we now know y, we can solve for x by substituting y for 2 in one of the equations.

x + 3y = 4

Substitute y for 2

x + 3 (2) = 4

x + 6 = 4

Subtract 6 from both sides

x = -2

Hope I helped! And sorry if I repeated somethings.

The line AB is shown on the grid.

b)Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.

Answers

Step-by-step explanation:

a)

first step: find the gradient slope of line AB

A(-1,-2) B(7,2)

gradient=change in y/change in x

M=[2-(-2)]/[7-(-1)

M=4/8

M=1/2

the gradient of the straight line is given by

M1*M2=-1

1/2*M2=-1

multiply both sides by the reciprocal of 1/2

2*1/2*M2=-1*2

M2= -2.

b)

first find the mind point of line AB

A(-1,-2) B(7,2)

M.P=(x1+x2)/2 ,(y+y2)/2

M.P=(-1+7)/2 ,(-2+2)/2

M.P=6/2 ,0/2

M.P=3,0

ALSO THE GRADIENT PERPENDICULAR TO LINE AB IS;

M= -2

equation of a line perpendicular to AB and passes through the midpoint of AB

Y-Y1=M(X-X1). (3,0). M=-2

y-0=-2(x-3)

y= -2x+6

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply. The triangle is isosceles. The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot. The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.

Answers

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Step-by-step explanation:

The set up in the question will b a right angled triangle

Length of the ladder will be the hypotenuse

The distance from the base of the wall to the base of the ladder  is the adjacent

Height of the wall will be the opposite

Note that the longest side is always the hypotenuse (length of the ladder)

Given

length of the ladder = 12foot

The distance from the base of the wall to the base of the ladder = 6√2

The ratio of leg to hypotenuse = 6√2/12 = √2/2

√2/2 = √2/2 * √2/√2

√2/2 = √4/2√2

√2/2 = 2/2√2

√2/2 = 1/√2

Hence the leg-to-hypotenuse ratio is 1/√2

From the calculation the following are correct:

the leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

The nonright angles are congruent

( B, D, E )

Step-by-step explanation:

Just did it on edge

2. Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your house. Which function models this situation?
A) y=15x-40
B).y=15x+40
C) y=40x+15
D) y=15x​

Answers

Answer:

B

Step-by-step explantion:

X is the amount of hours. Since they are charging 15 per hour you would have to multiply how many hours (x) by 15. Then add 40. And y equals the total amount pls mark brainliest

which of the options is a solution for the following system of inequalities
(2x+y>3 (x-y>1

(5,-2)
(0,5)
(0,0)
(0,-5)

Answers

Answer:

(5, - 2)

Step-by-step explanation:

2x+y>3

x-y>1

2x + y > 3 - - - - (1)

x - y > 1 - - - (2)

Using trial and error method :

Using :

(5,-2)

2x + y > 3

2(5) + (-2) > 3

10 - 2 > 3

8 > 3 (true)

x - y > 1

5 - (-2) >1

5 + 2 > 1

7 > 1 (True)

For 0,5

2x + y > 3

2(0) + (5) > 3

0 + 5 > 3

5 > 3 (true)

x - y > 1

0 - (5) >1

-5 > 1

--5 > 1 (false)

Also, all other options do not hold true for bitb inequality statements, hence answer is (5, - 2)

i need help with A 4ᵗʰ grade class divided into seven groups for a game. Each group has the same number of students. What could be the total number of students in the class? so can you help

Answers

Answer:

14, 21, or 28 would be the only answers I can think of

Step-by-step explanation:

7 teams of 2, 3, or 4 gives the answers

a new bank customer with $3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8%....How much interest will the customer earn in 30 years....What will the account balance be after 30 years​

Answers

Answer:

$91,620

Step-by-step explanation:

1.8% = $54

$3000 + $54 = $3054

$3054 × 30 = $91,620

Hope this helped!

I need help with this review question​

Answers

Answer:

Δ MAN

reason: ASA

Step-by-step explanation:

if you look at the congruency marks you can see that ∡F ≅ ∡A and we know that ∡N ≅ ∡N

markings also show us that sides UF ≅ MA

therefore, we know two angles and one side for each triangle

USE MY BINGO CLASH CODE TO EARN EXTRA DIGS!! WIN REAL MONEY WITH BINGO CLASH!!
My code is: EWaC5tT

Answers

Answer:

ok i guess...

Step-by-step explanation:

Answer:

Thank you so much!

Step-by-step explanation:

Oscar saves 40% of his monthly check for college. He earned $450 last month. How much money did Oscar save for college?

Answers

Answer

It is $180

Step-by-step explanation:

You do 450 times 40% and you get $180

Use the graph of the line to predict how many days
Beau needs to play Jars of Jupiter to win 300 trophies.
Input the value. Then click done.
Beau's Trophies from Playing Jars of Jupiter
320
300
280
260
240
220
200
Total Number of Trophies Won
180
160
140
120
100
Beau needs to play
? days to win
300 trophies.
80
✓ DONE
60
40
20-
0
0 1 2
6 7 8 9 10 11 12 13 14 15
Number of Days

Answers

Answer:

He should play for 12 days

Step-by-step explanation:

PLEASE HELP!!

Nathan placed a beaker of ice water, at 0°C, on a
hot plate. The temperature rose by 4°C. What
was the new temperature?

Answers

Answer:

0+4=4

So new temperature was 4 degrees Celsius

Step-by-step explanation:

What is the answer I got it wrong someone pls help

Answers

Answer:

Step-by-step explanation:

1st one

help me pleaseeeeeeeee

Answers

Answer:

1/12 5/12 11/12

Step-by-step explanation:

Um it was pretty obvious but...

may someone help me with this equation, please
95=20x + 5

Answers

Answer:

The answer is 9/2 or decimal form is 4.5 i gave you the work in the screenshot below hope it helps :)

Step-by-step explanation:

96/100 simplified if it can be

Answers

Answer:

24/25

Step-by-step explanation:

24/25 is 96/100 in simplest form.

Find the exact length of the third side?

Answers

Answer:

57 for the third side

Step-by-step explanation:

a = √(c² - b²)

PLEASE HELP!!

Match the reasons to complete the proof.

Answers

Should be D, B, C. Good luck!

Please help me with the correct answer

Answers

Answer:

$50

Step-by-step explanation:

5= 26+4=30

6=30+4=34

7=34+4=38

8=38+4=42

9=42+4=46

10=46+4=50

Rose would be saving 50 dollars after 10 months. At first Rose only had $10 in 0 months and $14 in the next month and again.This means that every month it adds up to another $4. If you want to find the total or 10 months keep on add 5 4 times which is 20. Then add 30 from the 0-5 months and which gives you $50. So Rose would be saving up 50 bucks in 10 months.

SOMEONE HELP FAST!
Consider the polynomial -4x+7x^3-5x^2+10
What is the degree of the polynomial? Explain. (1 point)

How many terms are in the polynomial? Explain. (1 point)

Write the polynomial expression in standard form.(

Answers

Answer:

Step-by-step explanation:

first lets put this in standard form to make it easier

[tex]7x^{3}[/tex] - [tex]5x^{2}[/tex] - 4x + 10

this form is the standard form (exponents go from greatest to least)

The degree in this polynomial is the highest exponent

So the degree is 3

There are 4 terms in this equation

7x^3

-5x^2

-4x

and 10

hope this helps <3

WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT

Answers

Answer:

Angle Y < Angle Z

Step-by-step explanation:

Answer:

angle X < angle Y

Step-by-step explanation:

........

Translate the sentence into an inequality.
The sum of 2 and b is less than 18.

Answers

Answer:

2+b<18

Step-by-step explanation:

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