Agustín y Bárbara salen al mismo tiempo y del mismo lugar, por el mismo camino. Agustín camina a 5km/h y Bárbara a 3km/h. Luego de recorrer 7km, Agustín emprende el regreso, ¿a qué distancia de la partida se encuentra con Bárbara? Si en el momento del encuentro también Bárbara emprende el regreso, ¿cuántos minutos después que Agustín llega Bárbara al punto de partida?

Answers

Answer 1

Answer:

Ok, primero Agustín camina a 5km/h.

Cuando el recorre 7km, el regresa.

El tiempo en el que sucede esto es a:

7km/5km/h = 1.4 h

La ecuación para Agustín es:

A(t) = 5km/h*t                                     para  0h ≤ t  ≤ 1.4h           (ida)

A(t) = 7km -  5km/h*(t - 1.4h)              para 1.4h ≤ t.                     (vuelta)

Hacemos lo mismo para Barbara:

7km/3km/h = 2.5h

La ecuación para ella es:

B(t) = 3km/h*t                                    para 0h ≤ t  ≤ 2.5h              (ida)

B(t) = 7km -  3km/h*(t - 2.5h)              para 2.5h ≤ t.                     (vuelta)

a)  ¿a qué distancia de la partida se encuentra con Bárbara?

Tenemos que ver cuando A(t) = B(t).

Para ello comparamos la vuelta de Agustín con la ida de Barbara.

7km -  5km/h*(t - 1.4h) = 3km/h*t  

7km - 5km/h*T + 7km = 3km/h*T

14km = 8km/h*t

14/8 h = 1.75h = t.

Entonces la posición en la que se encuentran es:

B(1.75h) = 3km/h*1.75h = 5.25km

Ellos se encuentran a 5.25 kilómetros de el punto de partida.

b)  Si en el momento del encuentro también Bárbara emprende el regreso

(Es decir, en este momento Barbara comienza a regresar).

Entonces ella para regresar al punto de inicio tiene que recorrer 5.25km con una velocidad de 3km/h.

Tb = 5.25km/3km/h = 1.75h

Barbara tarda 1.75 horas en regresar.

Agustín también tiene que recorrer 5.25 km para regresar, pero su velocidad es 5km/h.

Ta = 5.25km/5km/h = 1.05h.

La diferencia entre los tiempos es:

Tb - Ta  =1.75h - 1.05h = 0.7h

Entonces Barbara llega al punto de partida 0.7 horas después que Agustín.

Pero queremos esto en minutos.

1 hora = 60 minutos.

0.7 horas = 0.7*(60 min) = 42min

Barbara llega 42 minutos después que Agustín.


Related Questions

NEED HELP ASAP PLEASE

Answers

It’s the second answer
<1=58 <2=122 <3=58


Identify the slope and y-intercept from the following equation.

Answers

Answer:

The slope is 2/5 and the y intercept is -4

Step-by-step explanation:

The slope is always the coefficient to x

Answer:

slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4

what is 4x +12=20 proof

Answers

4x+12=20
-12 -12
——————
4x=8
divide by 4 on both sides
x=2

f(x) = 8x - 11

f(9) =

Answers

Answer:

61

Step-by-step explanation:

hi! we can start off by plugging in the number 9 for x in the equation.

f(x)=8x-11)

f(9)= 8(9)-11

= 72-11

=61

hope this helps.

The answer is 61.

Replace the x in the equation with the nine. F(9) = 8(9) - 11

Now first multiply 8 x 9 which is 72

Now you have F(9) = 72 - 11
Subtract the two numbers.

F(9) = 61

A bakery baked 16 cakes using 40 pounds of sugar. For each cake,... pounds of sugar was used

Answers

Answer:

2.5 pounds or sugar for each cake

Step-by-step explanation:

40/16=2.5

2.5 pounds of sugar was used

What is the slope of a line segment with endpoints at (-1,1) and (1,5)?

O undefined

O 4.

O 0.5

O 2

Answers

The answer is 2 use the x1 x2 over y1 y2 formula

F(x) =1/4(2-x)^2, what is the value of f(18)

Answers

Answer:

I have know idea what the answer is

Help please I need this now

Answers

Answer:

what is the question i cat help without the question

Step-by-step explanation:

Answer:

The answer for this is 850 dollars

Step-by-step explanation:

Since D stand for 50

You would do 50 X 17

Resulting in 850 dollars

what is the opposite of −(−6.3)

Answers

Answer:

the reicprocal is -1/6.3

Step-by-step explanation:

Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. Alice needs twice as many yards of ribbon as Quincy. How many rolls of ribbon does Alice need? Explain your answer.

Answers

Answer:

The answer is 35

Which property of real numbers is shown below?
3+ ((-5) + 6) = (3 + (-5)) + 6
commutative property of addition
identity property of multiplication
associative property of addition
commutative property of multiplication

Answers

Answer:

the answer is associative property of addition

Step-by-step explanation:

the things is no matter how you switch out the numbers you will have the same income.

Answer:

If I am not mistaking it would be identity property sorry if I am wrong

Step-by-step explanation:

May I please have brainly i will almost finish my circle for brainlys please

Assessment
MULTIPLE CHOICE
Directions: Read and answer the questions carefully. Write th
your Mathematics notebook.
1. Which of the following is a well - defined set?
A. The set of big people.
B. The set of happy people.
C. The set of prime numbers.
D. The set of intelligent teachers.​

Answers

Answer:

C. The set of prime numbers.

Thank you ☺️

Suppose that you plan on taking a dimmer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 225 magazine subscriptions?

Answers

Answer:

$1243.75

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

HELP ILL GIVE U BRAINLEST!!

Answers

Answer:

19/24

Step-by-step explanation:

Quadration Equation
X^2 - 6x - 7 = 0

Answers

Answer:

x = - 1, x = 7

Step-by-step explanation:

Given

x² - 6x - 7 = 0

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (- 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

solve for the indicated variable. e=f-g for g

Answers

Answer:

g = f - e

Step-by-step explanation:

f - g = e

- g = e - f

g. = f - e

Use the drop-down menus to complete each statement.

The function
has the same amplitude as the function y = cos(x – 4) + 1.

The function
is a translation of the parent cosine function.

Answers

Answer: the function y = cos(2x) - 2 and the function y = cos(x) - 3

Step-by-step explanation: just took it

Function [tex]y=cos2(x)-2[/tex] and function [tex]y=cos(x)-3[/tex].

Function:A function in mathematics from a set [tex]x[/tex] to a set [tex]y[/tex] allocates exactly one element  [tex]y[/tex] to each element [tex]x[/tex]. The sets [tex]x[/tex] and [tex]y[/tex] are collectively referred to as the function's domain and codomain, respectively.Initially, functions represented the idealized relationship between two changing quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity).Solution -

The function which has the same amplitude as the function [tex]y=cos(x-4)+1[/tex] and is the translation of the parent cosine is as follows:

[tex]y=cos2(x)-2[/tex][tex]y=cos(x)-3[/tex]

Therefore, function [tex]y=cos2(x)-2[/tex] , and function [tex]y=cos(x)-3[/tex].

Know more about the functions here:

https://brainly.com/question/2833285

#SPJ2

Need some help on this question

Answers

Answer:

No because my brain doesn't work on math and I need help on solving inequalities

simplify the expression
d + 3cd – 7c + 3cd + 2c

Answers

Answer:

=6cd−5c+d

Step-by-step explanation:

Answer:

d + 6cd - 5c

Step-by-step explanation:

d + 3cd + 3cd + 2c - 7c = d + 6cd - 5c

What is 166.6789 to the nearest hundredth

Answers

Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

standard form of y=-3/2+7

Answers

Answer:

2y=11

Step-by-step explanation:

Answer the following above:

Answers

Answer:

-3.25

Step-by-step explanation:

Just multiply -0.5 and 6.5.


Find the greatest common factor (GCF) for 18, 27 and 54.

Answers

Answer:

9

Step-by-step explanation:

(9+2).0 = 0
Is it commutative, associative, identity ,inverse, property of zero, distributive

Answers

Answer:

The property used will be property of zero.

Step-by-step explanation:

If an equation or expression ever equals zero, then it will be property of zero.

Please help me it would mean a lot

Answers

Problem 10

Answer: 80 degrees

Work Shown: 80-0 = 80

You subtract the values on the protractor where the two angle arms line up.

============================================

Problem 11

Answer: 45 degrees

Work Shown: 45-0 = 45

Same idea as problem 10

============================================

Problem 12

Answer: 83 degrees

Work Shown: 128-45 = 83

Same idea as the others. The arm TS isn't fully on 130 degrees, and it's a bit short of it. It looks to be about 128 degrees or so.

============================================

Problem 13

Answer:  35 degrees

Explanation: Luis forgot to subtract the value of each arm of the angle. So he should have done 80-45 = 35. The answer would be 80 degrees if arm TQ was at 0 degrees (so 80-0 = 80), but instead TQ is at 45 degrees.

My Instagram just got disabled how do I recover it today or by tomorrow?? Help pls

Answers

Answer:

I would call them and ask for the manager lowkey!

Step-by-step explanation:

❤❤

Answer:

Of course today

Step-by-step explanation:

In the transformed quadratic function
vertex point is
g(x) = 3(x – 5)2 - 4 , the
O (5, 4)
O (3, -4)
o (-5, -4)
(5,-4)

Answers

Answer:

            (5, -4)

Step-by-step explanation:

f(x) = a(x - h)² + k        ← the vertex form of quadratic function where vertex is: (h, k)

[tex]\left{\big{f(x)=a(x-h)^2+k}\atop \big{g(x)=3(x-5)^2-4}\right\}\implies a=3\,,\ \underline{h=5\,,\ k=-4}[/tex]

21. Susan traveled 114 miles in 2 hours. If she keeps going at the same rate, how long will it take her to go the remaining 285 miles of her trip?
a. 5 hours
b. 3 hours
c. 7 hours
d. 4 hours

Answers

5 hours because 114/2 is 57 which means it’s 57 miles per hour. so 57x5 is 285

what would be the answer to (6+3)^2-4 if you were to simplify it?

Answers

Answer:

1/81

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Parenthesis first, (6+3=9)^2 (9)^2 = 81-4 = 77

Type the correct answer in the box,
One solution to a quadratic equation is x = 1 + 8i. What is the other solution?

Answers

We'll assume the quadratic equation has real coefficients

Answer:

The other solution is x=1-8i.

Step-by-step explanation:

The Complex Conjugate Root Theorem

if P(x) is a polynomial in x with real coefficients, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).

The question does not specify if the quadratic equation has real coefficients, but we will assume that.

Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.

Answer:

the answer would be x= 1-8i

Step-by-step explanation:

plato said so

Other Questions
What impact did Fascist politics have on World War II? What's the internet a possible substitute for? PLSSSS HELP ME QUICKLYAbolitionist efforts by the Quakers included which of the following?boarding British ships to check for slavesworking in Britain and then Franceteaming up with William Lloyd Garrisonworking with others to stop the slave trade government officials support granting military heroes the titles sir and madam is this permitted Look at image please help me Im struggling PLEASE SOME1 ANSWER FAST PLS! Me asthe worlda citizen of the world Is it cheaper to buy 10 single apples or buy them in a bundle of 10?Plz help Im not trying to fail A proton is a subatomic particle carrying a charge equal to but opposite that of an electrontruefalse The answer is: x is choose your answer which tone does the underlined phrase suggest motors are packaged for sale in a certain warehouse. The motors sell for $100 each, but a double-your-money-back guarantee is in effect for any defectives the purchaser may receive (i.e. the seller pays buyer $200 for any defective item). Find the expected net gain for the seller if the probability of any one motor being defective is 0.08. (Assume that the quality of any one motor is independent of that of the others.) Show all work by defining the variables of interest and its distributions. what is the difference between luster and dull Find the range of each function when the domain is {-3, -2, 2, 3} f(x)=5x-6 Time Management skills includeA. A personal mission statement, prioritizing, and deep breathing B. Setting objectives, knowing your limits, and reviewing C. Avoiding distractions, setting goals, and budgeting D. Budgeting time, avoiding stress, and prioritizing Explain one way in which friction actually helps people A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table. In the worlds coldest freezer, sodium gas was cooled to a temperature of 78.5C below zero and then cooled 194.65C more. What was the new temperature of the sodium gas?273.15C272.7C202.5C116.15C What is the purpose of cellular respiration?A To get rid of carbon dioxideB To get take in oxygenTo take in sugarD) To convert food to energy What was the purpose of the invasion of Normandy? to demoralize Japanese citizens to capture the German capital of Berlin to remove the German army from northern France to push back the Japanese army from the South Pacific