Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track?

Answers

Answer 1

Answer: 15 second

Step-by-step explanation:

Answer 2

Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

How many seconds elapse before Amy passes Joey on the track?

Joey starts running at v₁ = 10 m/sec  

Amy starts running at v₂ = 12 m/sec

we know that d = v [tex]*[/tex] t then t = d/v

Joey will take 400 / 10 = 40 seconds

Amy will take 400 / 12 = 33.33 seconds

To check  Joey  10 [tex]*[/tex] 40 = 400

And the Amy 12 [tex]*[/tex] 33.33 = 333.3

That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Therefore, 12 seconds elapse before Amy passes Joey on the track.

To learn more about arithmetic operations

https://brainly.com/question/1098659

#SPJ2


Related Questions

4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.

Answers

they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer

Tell whether a triangle can have the given angle measures. 5 2/3∘, 64 1/3∘, 87∘

Answers

sooo

5 2/3+64 1/3+87 = 157

that aint right- a triangles angles has to add up to 180

this triangle b trippin

How do we write equations from word problems?

Answers

2+2+0+0+0=4 billion

Pls help I’ll brainlest for the right answer

Answers

Answer:

29110.87

Step-by-step explanation:

mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together

20x=-58-2y
17x=-49-2y

Answers

Answer:

20x = -58 - 2y( Ans~ x= -29/11)

17x = -49 - 2y (Ans~ x = -49/19)

Step-by-step explanation:

(1) 20x = -58 2x

   20x + 2x = -58

   22x = -58

   x = -29/11

(2) 17x = -49 - 2x

   17x + 2x = -49

   19x = -49

   x = -49/19

U WELCOME!!

Answer:

y=1

x=-3

Step-by-step explanation:

20x=-58-2y

20x/20=(-58-2y)/20

x=(-58-2y)/20

17x=-49-2y

17x/17=(-49-2y)/17

x=(-49-2y)/17

(-58-2y)/20=(-49-2y)/17

17(-58-2y)=20(-49-2y)

-986-34y=-980-40y

add 40y to both sides

6y-986=-980

add 986 to both sides

6y=6

divide both sides by 6

y=1

substitute

20x=-58-2(1)

20x=-60

x=-3

Proof: (substituting x & y values in original equations)

20(-3)=-58-2(1)

-60=-60

17(-3)=-49-2(1)

-51=-51

What are the next three terms in the following sequence 3 6 12 24 plz help

Answers

Answer:

3 6 12 24 48 96 192

Step-by-step explanation:

The answer is 48 96 192

Answer:it equals 96 hope this helps

Step-by-step explanation:

Solve each system of equations using any method.
y = 5x +7
y = 4x - 3

Answers

x = -10 and y = -43 so the correct answer would be (-10,-43)

Answer:

x= -10

y= -43

Step-by-step explanation:

since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3

and than you can just start with the variables OR numbers and then simplify

5x+7=4x-3

5x+10=4x

10= -x

x= -10

so -10 for x

plug it in to one of your 2 equations to get y

5(-10)+7= y

-50+7=y

y= -43

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. Let k>0 be the constant of proportionality. Assume the coffee has a temperature of 200 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 190 degrees in a room at 62 degrees.

Required:
a. Write an initial value problem for the temperature T of the coffee, in Fahrenheit, at time t in minutes.
b. Solve the initial value problem in part (a).

Answers

Answer:

Tt = Ts + Ce^-kt

Tt = 62 + 138e^-0.0068t

Step-by-step explanation:

The initial value problem for the Newton cooling rate is :

Tt = Ts + Ce^-kt

Initial temperature,when freshly poured Ti = 200°F

Temperature after 11 minutes = 190°F

Temperature of room, Ts= 62°F

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

k = constant of proportionality

We can then solve for C and k as follows :

200 = 62 + Ce^-0k

200 = 62 + C

C = 200 - 62 = 138°F

Using the Temperature after 11 minutes ; we can find, k, proportionality constant:

Temperature, Tt after, t = 11 minutes = 190

Tt = Ts + Ce^-kt

190 = 62 + 138e^-11k

128 = 138e^-11k

128 / 138 = e^-11k

0.9275 = e^-11k

Take In of both sides :

−0.075223 = - 11k

k = −0.075223 / - 11

k = 0.0068

The model function becomes :

Ts = 62 ; C = 138

Tt = 62 + 138e^-0.0068t

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit-ups

24 sit-ups

52 sit-ups

224 sit-ups

Answers

Answer:

224 sit-ups

Step-by-step explanation:

multiply 56 by 4

Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?

Answers

Area is length time width and the length is 12. Divide 96 by 12 and you get 8.
Length times width is area
So divide area by the width to get the answer
96 divided by 12 is 8
8 Ft is the other side.

Good luck
Brainleist would be appreciated

4.0681 to the nearest thousand

Answers

4.068 is the answer to it

helpsjdjdjdjcjcjfjfjfjcjfjfjxjff

Answers

Answer:

that is right what u have right there

Step-by-step explanation:

solve the equation
-2x +8 = -10

x/-5 + -15 = -22

Answers

Answer to first one is X = 9
Answer to second one is X = 35

When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

Answers

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

In which equation is the product greater than 3?

A. 3/4x3

B. 3/2x3

C. 1/12x3

D. 9/10x3

Answers

Answer:

B

Step-by-step explanation:

all you need to do for this is multiply the numerator by the 3.

3/4 times 3 = 9/4-  thats not more than 3

3/2 times 3 = 9/2 - thats more than 3  

1/12 times 3 = 3/12-  thats  not more than 3

9/10 times 3 = 27/10 thats  not more than 3

could you give me brainliest I need to complete this level

Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer!

Please view the screenshot of my question........

Answers

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Please help with question 5 an 6 if you can!

Answers

To find the percentage divide the colums with yes by the total column and divide the columns with the no by the total columns

also divide the men (both yes and no) numbers by the totals

A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.

Answers

Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]

A farmer sells 6.3 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

1.8 if Im not mistaken

Answer:

1.8 Kilograms

Step-by-step explanation:

Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.

6.3-4.5 = 1.8

So, there are 1.8 Kilograms of apples.

Select the correct answer.
Identify the axis of symmetry of the function graphed below.

A. X=1
B. X=3
C. X=5
D. X=4

Answers

it’s b
x=3
found by the vertex

Answer:

B. ( X = 3 )

Step-by-step explanation:

it's correct edmentum/plato

Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?

Answers

Given:

The polynomial is

[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]

To find:

The correct statement about the given polynomial.

Solution:

We have,

[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]

On combining like term, we get

[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]

[tex]=-3s^6t^2+6st^9-6t^7[/tex]

Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.

The degree of the polynomial is the highest power of the variable or the product of the variables.

Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.

Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.

Hence the correct option is b.

Please smart people

Consider the graph of a unit circle and a point traveling along the circumference of the circle. Which
statement is true?
O A. The point travels a distance of about 6 units in one revolution around the circle.
B. The point travels a distance of about 1 unit in one revolution around the circle.
O C. The point travels a distance of about 3 units in one revolution around the circle.
D. The point travels a distance of about 2 units in one revolution around the circle.

Answers

going on a question i had the answer would be c.

18 = 3 (3x - 6) help please!

Answers

Answer: 4

Step-by-step explanation:

Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?​

Answers

the maximum amount he can make is 4 liters because 2x4 is 8 and that’s the most it can go without going past 9. hope this helped!

Find the greatest common factor of 16 17 20

Answers

Answer:

1

Step-by-step explanation:

As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.

brainliet, please? hee hee

Round the fraction to the nearest whole number. 7 3 8

Answers

Answer:

9

Step-by-step explanation:

An NBA trainer wants to know if his stretching routine is helping the players on his team jump higher. He records the average height jumped for 8 players before completing his stretching routine, and then again after they have stretched. What is the parameter? Group of answer choices dbar = the true sample mean difference in jump height mu_d = the true sample mean difference in jump height dbar = the true population mean difference in jump height mu_d = the true population mean difference in jump height

Answers

Answer:

a. mu_d = the true population mean difference in jump height

Step-by-step explanation:

In statistical parlance, observations used for a study could either be randomly chosen points or members of a large group or population, this small chosen observation obtained from a larger group is called the sample, the statistical measures or characteristic of such group is called statistic; while statistical characteristic, computations or measurement of the entire group of observations is called the parameter.

Mean of sample are usually represented with a bar sign on top such as (xbar) ; while mean of a population is represented as μ.

What is the solution to the inequality
below?
X+3> 7
A X 4
B x 4
C3x7
PLEASE HELP !

Answers

Answer:

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

[tex]x+3>7[/tex]

To determine

What is the solution to the inequality?

Solving the given inequality

[tex]x+3>7[/tex]

Subtract 3 from both sides

[tex]x+3-3>7-3[/tex]

Simplify

[tex]x>4[/tex]

Thus,

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Two of the angles are 90 degrees and 40 degrees. What is the measure of the missing angle? *


Enter only a two digit number.

Answers

it depends on what’s the full angle, if it is 180, then the missing angle is 50.

Write 383 in expanded form

Answers

300 + 80 + 3 that’s it

Answer:

300 + 80 + 3

PLease mArk me brainliest

Other Questions
A pendulum has a period of 5.14s and a length of 0.25m. What is the accelerationdue to gravity? * evaluate each expression when x=3 (iready) Dont skip please!!! I need help The sum of three consecutive odd integers is 105.What is the first integer? PLEASE HELP the rise of the ramp is 8 ft tall and the run of the ramp is 16 ft long what is the slope of the ramp Point mutations resulting in a single amino acid substitution provided evidence that: Select one: A. The genetic code is a triplet code. B. The genetic code is overlapping. C. The genetic code is not overlapping. D. The genetic code is degenerate. E. tRNAs recognize codons. A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, howmany more hours (h) can you rent the canoe? *Help whats the answer someone help please 2) If youmove 50 meters in 10 seconds, what is your velocity? escribe en cada fila dos divisiones que den el cociente o resultado que se te indica en la primera columna matemticas con foto 6= w-56/-7 , what is the value of w? What's the best personality someone can have in your opnion Reading the temperature of a solution by using a thermometer is an exampleof a(n)O A. hypothesisOB. observationO C. inferenceOD. conclusion When New Orleans was hit by Hurricane Katrina, many members of New Orleans professional sports teams pitched in by helping to rebuild damaged structures. In so doing, the players were performing an act of:(i) Community service(ii) Activism(iii) VolunteerismA.i onlyB.i and ii onlyC.i and iii onlyD.i, ii, and iiiPlease select the best answer from the choices providedABCD Plz help due tomorrow Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground andlets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high isthe kite from the ground to the nearest foot? Find the length of the missing side. Leave your answer in the simplest radical form. John's parents work long hours and have little energy and time for cooking dinner, so they eat out three times a week. How could their behavior influence his health negatively? BE QUICK PLEASE A more choices than at homeB doesn't have to do dishesC feels eating out is healthyD gains unwanted weight A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 67,68,71,67,76, 74, 77,70, 72 What is the population mean of the height of his grandchildren in inches? Round your answer to the nearest tenth of an inch and do not include units. what was the main purpose of the transcontinental RailroadA. to make native Americans move off their landB. to make immigrants a job to feel important and needed in AmericaC. to help with transportation communication and to connect the East to the West