Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *

Answers

Answer 1

Answer:

Horse A will have traveled 20 feet farther

Step-by-step explanation:

Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20


Related Questions

This year Rachel watched 65 movies she thought that 26 of them were very good of the movies she watched what percentage did she think we’re very good

Answers

Answer:

40%

Step-by-step explanation:

26×100=2600÷65=40

40%×65=26

the following formula gives the area of a circle, A, dependent on its radius, r.

A = πr²

solve the equation for the variable r.

Answers

Answer:

sqrt(A/pi), -sqrt(A/pi)

Step-by-step explanation:

A=pi*r^2

r^2=A/pi

r=sqrt(A/pi), -sqrt(A/pi)

Find the measure of angle A.

Answers

Answer:

I had this question and i got it right it is the measure is four

Step-by-step explanation:

The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased by 1 cm, the area of the cardboard would be decreased by 27 cm². What are the dimensions of the original piece of cardboard?

Write and solve an equation to represent the problem.

Answers

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

What could be the approximate value of the
correlation coefficient for the accompanying scatter
plor?
-X
1) -0.85
2) -0.16
3) 0.21
4) 0.90

Answers

Answer:

Step-by-step explanation:

The lines represented by the equations 2y + 5x = –2 and y
- x + 3 are
parallel
Submit Answer
neither parallel nor perpendicular
perpendicular
the same line

Answers

Answer:

you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))

The following list gives the number of siblings for each of 11 students. 0, 8, 9, 6, 5, 7, 2, 4, 3, 1, 11 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."​

Answers

Answer:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Step-by-step explanation:

Given

[tex]0, 8, 9, 6, 5, 7, 2, 4, 3, 1, 11[/tex]

Required

Determine the mode

Though, not necessary; it is a good practice to order the given data either in ascending or descending order.

In ascending order, the ordered data are:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Mode implies that: the data that has the highest number of occurrence.

In the given data, each data has a frequency of 1.

Hence, the mode is:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

QUICK PLS HELP
The mean number of typhoon hitting US follows a Poisson distribution with
variance 0.5 per month. Find the probability that
(a) 4 typhoons will hit US in a year.
(b) at least 2 typhoons will hit US in a given half-year.

Answers

Answer:

A) 0.1339

B) 0.8078

Step-by-step explanation:

The Poisson Distribution formula is given by;

P(x; μ) = (e^(-μ) × (μ^(x))/x!

We are given;

Variance = 0.5 per month

Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month

A) We want to find the probability that 4 typhoons will hit US in a year.

Thus, x = 4

But since it's for a year, then μ = 0.5 × 12 = 6

So;

P(x = 4) = (e^(-6) × (6^(4))/4!

P(x = 4) = 0.00247875 × 1296/24

P(X = 4) = 0.1339

B) probability that at least 2 typhoons will hit US in a given half-year is;

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

In a half given year, μ = 0.5 × 6 = 3

P(X = 0) = (e^(-3) × (6^(0))/0!

P(X = 0) = 0.0498

P(X = 1) = (e^(-3) × (6^(1))/1!

P(X = 1) = 0.1494

P(X < 2) = 0.0498 + 0.1494

P(X < 2) = 0.1922

P(X ≥ 2) = 1 - 0.1922

P(X ≥ 2) = 0.8078

Guys please help me its really important i only have a bit of time

Answers

Answer:

B

A

Step-by-step explanation:

Use the graph to find the amplitude and period.

Notice amplitude is the absolute value of the number in front of either sin or cos

please give a heart for thanks :)

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis? They are diameters of concentric circles. They share the same midpoints. They are perpendicular to each other. They share the same endpoints.

Answers

Answer:I am pretty sure the answer is

C. "They are perpendicular to each other."

Step-by-step explanation:

For a shape to be reflected, it must be reflected across a line.

The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Given that:

Shape: rectangle LMNOReflection line: x-axis

When the shape is reflected across the x-axis, we have the following perpendicular and congruent lines

L x-axis and L' x-axis M x-axis and M' x-axis N x-axis and N' x-axis O x-axis and O' x-axis

Hence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Read more about reflection at:

https://brainly.com/question/18549175

PLEASE TAKE A PIC OF YOU WORK ON A PECIE OF PAPER WITH THE AWNSER ON IT!!!! Hey! I need help with this! I’m bad at math and have a 55% in it rn it would mean a lot if you could take this seriously. Only 5 questions.

Answers

Answer:

Step-by-step explanation:

Hey if you give me your email i ca email you the aswer it wot let me link a photo lol

Am I supposed to solve for x? Or.....? There’s no instruction?

Joselyn saw an alligator that was 5 feet long. How many inches is 5 feet.

Answers

Answer:

The alligator is 60 Inches long.

Step-by-step explanation:

5 feet is 60 inches.

hope it helps!

Answer:

60 inches

Step-by-step explanation:

There are 12 inches in 1 foot, therefore the ratio of inches to feet is 12:1.

If the alligator is 5 feet than the amount of inches increase.

In order to find how long the alligator is in inches, multiply 5 by 12

5 x 12 = 60

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

Answer:

I think it is B.

Step-by-step explanation:

Hope this helped have an amazing day!

WHAT IS 5/6 TIMES 15

Answers

5/6 times 15 is 12.5

Answer:

12.5

Step-by-step explanation:

it's the awnser. I need to explain why

The Student Council sold the following items at the home football game. A B с D E F G H

Item Price Income Cost Per Expenses Profit Number Sold Item 2 lollipops 85 $21.25 $0.12 $10.20 $11.05 $8.16 3 Gummies 48 $16.80 $0.18 $0.25 $0.35 $0.45 $0.55 4 Bubble Gum 79 $35.55 $8.64 $17.38 $11.96 $0.22 $0.26 $18.17 5 Combos 46 $25.30 $13.34 $50.72 6 TOTAL: $50.72

i stands for income and e stands for expenses, what is the formula for p, profits?

A: p = i/e
B: p = e/i
C: p = e-i
D: p = i-e​

Answers

Answer:

[tex]p = i - e[/tex]

Step-by-step explanation:

Given

[tex]i = income[/tex]

[tex]e = expenses[/tex]

Required

Determine the profit (p)

Profit (p) is the difference between income (i) and expenses (e)

.

Mathematically:

[tex]Profit = Income - Expenses[/tex]

i.e.

[tex]p = i -e[/tex]

Option D is correct.

Answer:

d

Step-by-step explanation:

You run around the perimeter of a baseball field at a rate of at most 12 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Twice a number is 42 less than five times a number. What is the number?

Answers

Answer:

21

Step-by-step explanation:

I am 90% sure but tell me if i'm wrong

The expression -25t+1250 represents the volume of liquid of a container after t seconds. The expression 50t+250 represents the volume of liquid of another container after t seconds. What does the equation -25t+1250=50t+250 mean in this situation?

Answers

Answer:

t = 13.33 second

Step-by-step explanation:

Given:

Equation first -25t+1250

Equation second 50t+250

Computation:

-25t+1250=50t+250

75 t = 1,000

t = 13.33 second

Means in t (13.33) second both container have same amount of liquid

Evaluate if a = 6, b = 2, c = 9, & d = 3

Answers

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Automobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?

Answers

Answer:

1) the average time a car is in the system is 0.1587 min

2) the average number of cars in the system 0.1111

3) the average time cars spend waiting to receive service is 0.01587 min

4) the average number of cars in line behind the customer receiving service is 0.01111

5) the probability that there are no cars at the window is 0.9

6) the percentage of time that the postal clerk is busy is 10%

7) the probability that there are exactly two cars in the system is 0.1217

Step-by-step explanation:

Given that;

Arrival rate λ = the rate of 7 every 10 minutes = 7/10 = 0.7

Average service time μ = 7 minutes

The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.

1) What is the average time a car is in the system?

Average in the system W = 1 / (μ - λ)

= 1 / (7 - 0.7) = 1 / 6.3 = 0.1587 min

therefore the average time a car is in the system is 0.1587 min

2) What is the average number of cars in the system?

Average number of cars L = λ / (μ - λ)

= 0.7 / (7 - 0.7) = 0.7/6.3 = 0.1111

Therefore the average number of cars in the system 0.1111

3) What is the average time cars spend waiting to receive service?

Average time spend waiting for services  Wq = λ / μ(μ - λ)

= 0.7 / 7(7 - 0.7) = 0.7/44.1 = 0.01587 min

Therefore the average time cars spend waiting to receive service is 0.01587 min

4) What is the average number of cars in line behind the customer receiving service?

average number of cars in line behind the customer receiving service

Lq = λ² / μ(μ - λ) = (0.7)² / 7(7 - 0.7) = 0.49 / 44.1 = 0.01111

Therefore the average number of cars in line behind the customer receiving service is 0.01111

5) What is the probability that there are no cars at the window?

probability that there are no cars at the window = 1 -  (λ / μ)

= 1 -  (0.7 / 7) = 1 - 0.1 = 0.9

Therefore the probability that there are no cars at the window is 0.9

6) What percentage of the time is the postal clerk busy?

percentage of the time is the postal clerk busy = (λ / μ)

= (0.7 / 7) = 0.1 ≈ 10%

Therefore the percentage of time that the postal clerk is busy is 10%

7) What is the probability that there are exactly two cars in the system?

the probability that there are exactly two cars in the system = (λ²e^-λ) / 2!

= (0.7²e^-0.7) / 2! = 0.2433 / 2 = 0.1217

Therefore the probability that there are exactly two cars in the system is 0.1217

Plzzzz help!

What is the equation of the line that passes through the point (2,-6) and has a
slope of -12

Answers

Y=-12x+18
Hope this helps :)

A parallelogram is a:
rectangle
square
quadrilateral
rhombus

Answers

Answer:

quadrilateral

Step-by-step explanation:

A quadrilateral that has two pairs of parallel sides.

please help. as soon as possible would be great thank you

Answers

The answer is A, the first one! The line is going through the origin and because it’s going DIRECTLY up, it will increase faster! B is only going up at an angle so instead of going up, it goes up and to the side meaning it’s going slower. The last one isn’t going anywhere!

Please give brainliest❤️

Correctly identify the slope and y -intercept of the
slope intercept form equation:
y= mx + b
slope
intercept

Answers

the m is always the slope and the b is the y intercept

Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64

Answers

Answer:

b?

Step-by-step explanation:

b= v16.4

Graph f(x) = 4[x] +5.

Answers

Answer:

See image for reference

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

x/x+2 -4/x-2=1 solve the equation
i will mark the brainliest plz help​

Answers

Answer: x = -2/3

[tex]\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3[/tex]

Step-by-step explanation:

Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces. What fraction of the total number of puzzle pieces has NOT been used? Enter your answer as a fraction, in simplest form, in the box provided.

Answers

Answer:

1/8

Step-by-step explanation:

7/12= 14/24                                    14/24 + 7/24= 21/24                    

21/24= 7/8           1-7/8= 1/8

The fraction of the total number of puzzle pieces has not been used is 1/8.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces.

The fraction of the total number of puzzle pieces has not been used is calculated as,

7/12= 14/24      

21/24= 7/8        

1-7/8= 1/8

To know more about an expression follow

https://brainly.com/question/19961687

#SPJ2

Need help with this ASAP it’s due in 10 minutes

Answers

Answer:

Step-by-step explanation:

Formula to be used,

A = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Here, A = Final amount

P = Principal amount

r = rate of interest

n = Number of compounding (In a year)

t = Duration of investment (In years)

Question (5)

P = $4250

r = 0.015

n = 4

t = 3 years

A = [tex]4250(1+\frac{0.015}{4})^{4\times 3}[/tex]

A = [tex]4250(1.00375)^{12}[/tex]

A = $4445.24

Part (C)

1). P = $6000

   r = 0.03

   n = 2

   t = 10 years

  A = [tex]6000(1+\frac{0.03}{2})^{2\times 10}[/tex]

      = [tex]6000(1.015)^{20}[/tex]

      = $8081.13

2). P = $9000

    r = 0.05

    n = 2

    t = 8 years

    A = [tex]9000(1+\frac{0.05}{2})^{2\times 8}[/tex]

        = [tex]9000(1.025)^{16}[/tex]

        = $13360.55

Complete the congruence statement by naming the corresponding angle or side.
50 points

Answers

Step-by-step explanation:

Triangles RQP and RBC are congruent.

Letters R and P are the 1st and 3rd letters in RQP.

Letters R and C are the 1st and 3rd letters in RBC.

Hence line RP = line RC = line CR (D).

D) CR

ΔRQP ≅ ΔRBC

They are congruent so if you highlight the line PR and find the similar one,

ΔRQP ≅ ΔRBC

The line would be line CR.

Other Questions
what is the difference between the process of photosynthesis in dark and in sunlight Solve this 40 pointsssss Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).If D is the midpoint of BC, the the length (distance) of AD.write the midpoint write the distance What are the x- and y-intercepts of 3x + 5y = 15? What important role did Charles Pinckney play with the Articles of Confederation constitution?Question 1 options:He tried to convince people that the Articles of Confederation needed to be abandonedHe tried to convince people that the Articles of Confederation would never workHe worked write the first draft of the Articles of ConfederationHe worked with a Congressional Committee to draft amendments for the document Why were Americans encouraged by the outcome of the War of 1812?A. They had won a decisive victory.B. They had gained vast amounts of territory.C. They had won several battles.D. They had fought and defeated pirates.The correct answer is C on edg 2020 Write the simplest polynomial function for each set of zerosZeros = 0, 1, -1, 5 if a Man suit a spare at a place where the sea the fish inside the water is it possible that it will heat the fish give reason how many liters are in 20 grams of hydrogen gas? How did the geography of the Nile River Valley influence life inancient Egypt? what is the answer to the question? WORLD POPULATION GROWTH20,000peopleofMillions10,000World5,0002,000AsiaAfrica1,000Europe500United States,Mexico,Canada, & Greenland100 Central America,50 Caribbean Islands, &South America20Oceania (Australia &nearby islands in the Pacific)200102010Year1950196019701980199020002020203020402050Based on the information in the graph, what is the best conclusion to drawabout Africa? A 10 kg wagon is accelerated by a constant force of 60 N from an initial velocity of 5.0 m/s to a final velocity of 11 m/s. What is the impulse received by the wagon? a)15 N s b)60 N s c)17 N s d)70 N s 3. Write the equation for the reaction of metal with oxygen and non metal with oxygen and thenpredict the nature of the substance formed when the oxide of metal and oxide of non metal isdissolved in water. Al considerar 52 m como la distancia entre dos puntos situados realmente 53.06 m help please 10 pts and quick! Selecciona las frases ciertas.En Bogot: find the exact perimeter of square whose side length is 516 cm What is a big problem for Isabel in the movie/book chainsDONT USE GOO.GLE Please reference attachment. See image for more information/details.