Two boys san around a track that is 400 meters long. Miguel ran around the track three
times in 240 seconds. Joseph ran around the track three times in 200 seconds. What was the
difference between the speeds of the two boys?
A.
1 meter per second
5 meters per second
B.
C.
6 meters per second
D.
11 meters per second

Answers

Answer 1

Using proportions, it is found that the difference between the speeds of the two boys was of:

A. 1 meter per second.

What is a proportion?

A proportion is a fraction of a total amount. Following this concept, velocity is distance divided by time.

In this problem, Miguel ran 1 lap = 400 meters each 240/3 = 80 seconds, hence his speed is given by:

sM = 400/80 = 5 m/s.

Joseph ran 400 metters each 200/3 = 66.67 seconds, hence his speed is given by:

sJ = 400/66.67 = 6 m/s.

The difference is given by:

6 m/s - 5 m/s = 1m/s.

Hence, option A is correct.

More can be learned about proportions at https://brainly.com/question/24372153


Related Questions

. If p = -5, q = 4, then find pq - (p + q).​

Answers

Answer:

-19

Step-by-step explanation:

Given :

p = -5

q = 4

Putting the value of p and q in equation pq - (p + q)

=> (-5)(4) - [(-5)+4]

=> -20 - [ -5+4 ]

=> -20 - [-1 ]

=> -20+1

=> -19

what is 56 divided by 6185

Answers

Answer:

0.01 (rounded)

0.00905416329

Step-by-step explanation:

WILL GIVE BRAINLEIEST HURRRYY

The graph of an exponential function, f(x), is shown.

Move numbers to the blanks to describe how f(x) increases and grows over different intervals.

Answers

1 2 4 8 2

This are the answers

cansomeone please help me with problem

Answers

Answer:

Disagree

Hope you have a nice day!

Answer:

Disagree and D

Step-by-step explanation:

you wouldn't add 24 as a number because it's a percent, so it can't be C.

Also, since its not C, and A and B are lower then 190, its D

Question is in picture

Answers

Answer:

the first one is the correct answer

Step-by-step explanation:

the controlled variable is the one that stays constant, so the answer is 'the type of candy and the way in which we held the candy in our mouths'

:)

F= G mM/r^2 solve for m

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for m

[tex]\qquad \tt \dashrightarrow \:F = \dfrac{ GMm}{ {r {}^{2} }}^{} [/tex]

[tex]\qquad \tt \dashrightarrow \:F {r}^{2} = { GMm}{ { {}^{} }}^{} [/tex]

[tex]\qquad \tt \dashrightarrow \:m = \dfrac{F {r}^{2} { { {}^{} }}^{} }{GM}[/tex]

Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth. Day Snow Depth (inches) 1 47 2 29 3 20 4 10 5 7 6 5 7 1.5

Answers

Answer:

y=88e^ -0.5x

Step-by-step explanation:

https://keisan.casio.com/exec/system/14059932387562

1) Use this online graphing calculator if you do not have on ^^

2) plug in data and choose "e-Exponential regression"

3) A= 88.4385965

    B= -0.532128051

4) Round A to the nearest integer and B to the nearest tenth

5) Use the formula given "y=Ae^ Bx"

6) Leave the variables "e" and "x" as they are

A quadratic equation would best represent the data

i.e

-8x² + 93x - 56

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:

Day Snow Depth

1 47

2 29

3 20

4 10

5 7

6 5

7 1.5

Now,

Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.

Using the quadratic regression feature on the graphing calculator, we obtain the following equation:

Snow Depth = -8x² + 93x - 56

Rounding to the nearest integer, the final equation that best represents the data is:

Snow Depth = -8x² + 93x - 56

Thus,

A quadratic equation would best represent the data

i.e

-8x² + 93x - 56

Learn more about scatterplots here:

https://brainly.com/question/7219025

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Around which line would the following cross-section need to be revolved to create a sphere?
Options:
A: x = 1
B: y = 1
C: y axis
D: x = 2

i thought it was y axis but im not sure so i just want to make sure!!

Answers

Answer:

B y=1

Step-by-step explanation:

the sum it two numbers is 82.5. Their difference is 12.9. what are the numbers

Answers

Explaination :

Let us assume the unknown two numbers as an variable. Here we are assuming it as a and b.

★ According to the question,

Sum of those assumed two numbers is 82.5.

a + b = 82.5

Also it is given that difference of both the two numbers is 12.9.

a - b = 12.9

From the given information we got two equations,

a + b = 82.5 (Equation No 1)

a - b = 12.9 (Equation No 2)

So we would solve them and get the value of a and b.

From Equation No 2 :

a = 12.9 + b

★ In Equation No 1 :

Substituting the value of a which we got above here,

(12.9 + b) + b = 82.5

12.9 + b + b = 82.5

12.9 + 2b = 82.5

2b = 82.5 - 12.9

2b = 69.6

b = 69.6 / 2

b = 34.8

Therefore,

Value of b is 34.8

Finding out value of a :

a = 12.9 + b

a = 12.9 + 34.8

a = 47.7

Suppose you are a
farmer and want to know if your corn crop is ready
to be harvested. Describe an unbiased way to
determine whether the crop is ready to harvest.

Answers

Answer:

if you track it's growth, you can see the progress.

Step-by-step explanation:

Which word below means "to make as small as possible"?
O A. Loss
O B. Minimize
O C. Revenue
O D. Maximize

Answers

B. Minimize

Minimize means to reduce something to the smallest amount or size.

Minimize costs and maximize revenue best explains what the profit motive pushes producers to do. The correct option is B.

What is revenue?

Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.

here, we have,

Revenue refers to the total earnings generated by a company through its core operations, such as product or service sales, property rents, recurring payments, interest on borrowings, and so on.

Net income is calculated by subtracting other costs and expenses from the total amount of money.

The profit motive drives producers to reduce production costs while increasing revenue in order to increase profits.

They can increase their financial gain and make their business more successful by doing so.

Thus, the correct option is B.

For more details regarding revenue, visit:

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#SPJ7

Complete question:

Which of the following best explains what the profit motive pushes producers

to do?

O

A. Achieve the maximum revenue.

O

B. Minimize costs and maximize revenue.

O

C. Produce as much as possible.

O

D. Balance monetary and non-monetary benefits.

SUBMIT

PLEASE HELP PLEASE HELP

Answers

13. Lorelei counted the faces on some three-dimensional figures. She found two figures with exactly 5 faces each. Which of two figures have exactly 5 faces each?

A. rectangular prism and triangular prism

B. rectangular pyramid and triangular pyramid

C. rectangular prism and triangular pyramid

D. rectangular pyramid and triangular prism

[tex] \\ [/tex]

Answer:D. Rectangular pyramid and triangular prism

[tex]__________[/tex]

A. rectangular prism and triangular prism

Rectangular prism has 6 faces while triangular prism has 5 faces.

B. rectangular pyramid and triangular pyramid

Rectangular pyramid has 5 faces while triangular pyramid has 4 faces.

C. rectangular prism and triangular pyramid

Rectangular prism has 6 faces while triangular pyramid has 4 faces.

D. rectangular pyramid and triangular prism

Both rectangular pyramid and triangular prism has exactly 5 faces.

Therefore, the answer is D. Rectangular Pyramid and Triangular Prism.

Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.

Answers

The simulation using random digits is an illustration of sample space and probability

How to run the simulation using random digits?

From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.

One of the ways this can be done is as follows:

Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9

The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair

Next, is to run a simulation of 10 trials.

Take for instance, the result of the simulation is as follows:

00 65 36 48 55

19 34 87 13 90

The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble

From the simulation result, the number of outcomes is

At least 1 green marble = 7

Number of trials = 10

So, the probability of picking at least a green marble is:

P = 7/10

P = 70%

Note that there are several other ways the simulation can be done; this is just one of them

Read more about probability at:

https://brainly.com/question/251701

F(x)=2 to the power of x +3 what is the value of f(-2)

Answers

Answer:

2

Step-by-step explanation:

f(x) = 2^(x+3)      

f(-2) = put in -2 where x is

      = 2 ^(-2+3) = 2^1 = 2  

. Callie stopped for lunch when she was shopping at the mall. She bought two pieces ofpizza for $2.95 each and a soda for $2.25. About how much did she spend?

ESTIMATE UR ANSWER AND SHOW WORK PLSSS!

Answers

Answer:

about $8

Step-by-step explanation:

Pizza at $2.95 can be rounded to $3.

Callie had two pieces of pizza, so $3 x 2 = $6.

Soda at $2.25 can be rounded to $2.

Two pieces of pizza $6 + Soda $2 = about $8

31,616 divided by 52

Answers

your answer to 31,616/52= 608

Mario collects seashells and sells them to tourists. The function s(t) approximates how many seashells Mario collects per hour. The function W(h) represents the number of hours per week Mario spends collecting seashells. What are the units of measurement for the composite function s(W(h))? seashells over hour seashells over week hours over week weeks over seashell

Answers

Answer:

seashells/week

Explanation:

With the given the function s(h) being seashells per hour, and the function W(h) being the number of hours per week, we can say that the compostie function s(W(h)) is finding the number of seashells per week.


(I've also taken the test and this was the correct answer.)

Hope this helps! :)

Write down the shortest distance of points A,B,C, and D from the x-axis

Answers

Answer:

c

Step-by-step explanation:

1. Suppose that the weights of 3500 registered female Great Danes in the United States are
distributed normally with a mean of 125 lb. and a standard deviation of 5.2 lb.
Approximately how many of the Great Danes weigh more than 130.2 lbs.?

2. Body mass index, or BMI, of 18-year-old females are normally distributed with a mean of 24.6 and
a standard deviation of 2.4. Eighteen-year-old Sasha BMI has a z-score of 1.22.
What is Sasha’s BMI?

3. An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 12 lbs., and a standard deviation of 1.4 lbs. Impossible Minos fish
food has a mean fish weight of 14 lbs. and a standard deviation of 1.2 lb. A fish is measured to be
13.1 lbs. Which brand of fish food, Nacho Average Minos, or Impossible Minos, is more likely to have
been used to feed this fish?


4. Height of 10th grade boys is normally distributed with a mean of 66.9 in. and a standard deviation
of 2.5 in.
The area greater than the z-score is the probability that a randomly selected 15-year-old boy
exceeds 71 in.
What is the probability that a randomly selected 10th grade boy exceeds 71 in.?
Use your standard normal table.

5. Heights for 16-year-old girls are normally distributed with a mean of 64 in. and a standard
deviation of 1.9 in.
Find the z-score associated with the 90th percentile.
Find the height of a 16-year-old girl in the 90th percentile.
State your answer to the nearest tenth of an inch.

Answers

Answer:

1 3500  2 24.6  3 12

Step-by-step explanation:

Fiona is paid $11 an hour to work as a referee. The amount of money he earns depends on how many hours he works. Which is a dependent variable, and which is an independent variable?

Answers

Answer:

Number of hours worked = independent

Money earned = dependent

Step-by-step explanation:

         The money earned is dependent because "the amount of money he earns depends on how many hours he works." Since the money earned is dependent, the number of hours worked is independent.

         We can also think of it another way. You can pick how many hours you work (theoretically) so this is indepdent. The amount of money earned depends on the hours you worked.

Summary:

         Looking at the wording, we can answer the question with the following:

Number of hours worked = independent

Money earned = dependent

Solve the inequality.

3 – 2a < 7


a > 2


a < 2


a < –2


a > –2

Answers

Answer:

a > –2

Step-by-step explanation:

3 – 2a < 7

-3           -3

-2a < 4

/-2     /-2

a > -2


Please help me with 6 and 7 (photo attached)

Answers

Answer: Yes, No

Step-by-step explanation:

Pencils are sold in boxes of
12. Mrs. Sheridon wants to
give 2 pencils to each of her 24
students. How many boxes of the
pencils will she need to buy?

Answers

4 boxes 4.12 = 48 pencils

hope it helps...!!!

Kelly has made 16 out of 25 free throws. The probability that she will make her next free throw is 64% Is it experimental probability or theoretical probability?

Answers

Answer:

Her next throw will be theoretical, since the event has not happened yet.

Step-by-step explanation:

Set up a questions:
has it happened?
no? it's based off of past experiences? - theoretical
Yes? - experimental

4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2
Use the substitution given

Answers

Answer:

x = 0, 2

Step-by-step explanation:

[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]

A quarterback completed 16% of his passes in a season. He completed 80 passes. How many passes did the quarterback throw?

Answers

Answer:

500

Step-by-step explanation:

100*80 is 8000, then divide it by 16


The length from one point to another that is a portion of the curve of the circle is called:

Answers

Answer:

The length from one point to another that is a portion of the curve of the circle is called arc

?
Which expression is equivalent to 2(x + 7) – 18x + 4/5
А А
74
20x +
5
139
20x +
5
B
С
74
-16x +
5
D
139
-16x +
5

Answers

Answer:

I got -16x+44/3

Step-by-step explanation:


NEED HELP ASAP

Solve this quadratic equation by completing the square.
x2 + 4x = 15
O A. X=-4 + 119
O B. *=-4 1/15
O c. x=-2119
O D. X=-27 15

Answers

Step-by-step explanation:

to solve quadratic equation when the roots are not rational

x = -b+-√(b^2-4*a*c)/ 2a

here a = 1

b = 4

c = -15

(-4+-√16+65)/2

-4+-√81/2

(-4+-9)/2

x = -13/2, 5/2

Answer:

The answer is D.

Step-by-step explanation:

(X+2)²=19

What is the inverse of function f? F(X) = square root of x +7

Answers

Answer: [tex]f^{-1} (x)=x^{2} -7[/tex]

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and the original x with y

[tex]f(x)=\sqrt{x+7} \\x=\sqrt{y+7}[/tex]

Now we can solve for y

Square both sides so we can cancel out the root

[tex]x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7[/tex]

Now subtract 7 from both sides

[tex]x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y[/tex]

Now replace y with the inverse of f(x), [tex]f^{-1} (x)[/tex]

Answer:

f⁻¹=x²+7

Solution:In order to find the inverse of a function, we should first replace f(x) with y, then switch x and y places, like so:y=√x+7x=√y+7Now, solve the equation for y.Square both sides in order to get rid of the square root:x²+7=yy=x²+7And finally, replace y with f⁻¹:f⁻¹=x²+7Also, inverse functions do the opposite thing in the opposite order.So if we have f(x)=x+7, the inverse function is: f⁻¹=x-7

Hope it helps.

Do comment if you have any query.

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