(8.5 times 10^3)(1.1 times 10^1)

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.

Answer: Y=7

Step-by-step explanation: if you have to find y then it’s

5y-28=7

   +28+=+28 adding 28 to both sides to have y by itself -28+28=0 & 28+7=35

5y=35 then you divide by 5 on both sides

So it’s y= 7

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(7-3)^2+(7-4)^2}[/tex]

[tex]d=\sqrt{(4)^2+(3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

Answer:

-18w +4

Step-by-step explanation:

-21w + 5 + 3w -1

Combine like terms

-21w +3w   +5-1

-18w +4

Answer:

X = V/(YZ)

Step-by-step explanation:

V=XYZ

Division property of equality

V/(YZ) = X

Symmetric property of equality

X= V/(YZ)

The value for x is;

X = V/YZ

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

V = X times Y times Z

Now, It can be written as;

V = XYZ

So, For value of x;

Divide by YZ both side;

V/YZ = X

X = V/YZ

Thus, The value for x is;

X = V/YZ

Learn more about the expression visit:

https://brainly.com/question/28036476

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Answer:

no you can only use side side side when all of your triangles are equilateral triangles

Step-by-step explanation:

According to the information we can infer that the number is 16. So, 6 - 16 is 10.

Let's assume the number is represented by 'x'.

According to the given information, six less than a number is equal to ten. This can be expressed as:

To find the value of 'x', we can add 6 to both sides of the equation:

This simplifies to:

According to the information we can conclude that the number is 16. So, 6 - 16 is 10.

Learn more about numbers in: https://brainly.com/question/24908711
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Answer:

1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x

Step-by-step explanation:

1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)

2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)

Bringing us to the answer → 16 + 2x!

Answer:

14

Step-by-step explanation:

14 becuase if it was 3 times as many as Kate got then you would have to do the opposite than what it is asking so you would have to divide and you would get 14

Ali do be famous doe lol

Answer:

Kate's photo got 14 likes

Step-by-step explanation:

42 divided 3 is 14

Answer:

 x = 45

Step-by-step explanation:

AB // CD,

∠AB0 + ∠COB = 180  {Co interior angles}

   75 + ∠COB = 180

             ∠COB = 180 - 75 = 105

∠DOE =∠COB   {Vertically opposite angles}

∠DOE = 105

In ΔDOE,

x + 30 + 105 = 180    {angle sum property of triangle}

      x + 135 = 180

                x = 180 - 135

                x = 45

well, 6.2% of 4,300 can't be over half. she has made a calculation error, and the real answer is (this is where the mistake was made) 4,300 * 0.062 (not 6.2, because percents are always divided by 100 to make them into a usable number), which is equal to $266.60.

Answer:

X^2 + 46x + 45 = (x + 1) (x + 45)

Step-by-step explanation:

Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .

1, 45

Write the factored form using these integers.

(x + 1) (x + 45)

I hope this helps.

Answer:

(x+1) (x+45)

Step-by-step explanation:

By using FOIL(Front Outer Inner Left) it should end up like this:

1. x2 + 46x + 1x + 45

2. x2 + 47x + 45

Answer:

Step-by-step explanation:

Last one

Answer:

1/3

Step-by-step explanation:

P(green) = green marbles / total marbles

3 green marbles

9 total marbles

P( green) = 3/9 = 1/3

Answer:

i think the answer is 0

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

When you plug in 3 for the value of x you get the equation: 4(3)-2/5 (being divided by 5)

Now we solve the top and the bottom of the fraction.

4×3=12

12-2=10

10/5= 2

Hope this helps! :)

Answer:

4.074 hours

Step-by-step explanation:

r =

The formula for speed = Distance × Time

Hence,

Let the outbound speed = r

return trip speed = r + 25x/100 = 125r/100 = 1.25r

Note that: 9 hours and 20 minutes = 9.167

Let t1 and t2 be the time taken to travel on way and return journey.

t1 + t2 = 9 hr 10 min = 9.167 hrs

Hence:

2688/r + 2688/1.25r = 9.167

LCM(1.25r)

(2688 × 1.25) + 2688 /1.25r= 9.167

3360 + 2688 = 9.167 × 1.25r

6048 = 11.45875r

r = 6048/11.45875

Outbound trip rl = 527.8062615904876mph

Return trip speed = r + 25x/100 = 125r/100 = 1.25r

= 1.25 ×

659.75782699mph

Time for return trip = Distance/Speed

= 2,688 miles/659.75782699mph/

= 4.0742222222 hours

Approximately = 4.074 hours

Answer:

The answer the first question is: Always acute

The answer to the second is: 65 degrees

Step-by-step explanation:

:P

Answer:

About $2.27

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

$2.27

Step-by-step explanation

First, find the unit price

3.78/5=.756

Then find the cost for 3 pound

.756X3=2.268

Round

$2.27 for 3 pounds

Hope this helped :)

Answer:

28 days

Step-by-step explanation:

football = 7 days

volleyball = 4 days

both= ?

7 x 4 = 28 days

Hi!

Your answer would be: 3(or 4, or 5)

but the main answer is 3.

Hope this helps!

Answer:

B

Step-by-step explanation:

The numbers in the other functions are less than one which means that they are decreasing.  

Answer:

$24

Step-by-step explanation:

discount is 10

price after discount is 14

so original price is 10 + 14 = 24

Answer:

f(2b) = -4b + 4

Step-by-step explanation:

Step 1: Define

f(x) = -2x + 4

f(2b) is x = 2b

Step 2: Substitute and Evaluate

f(2b) = -2(2b) + 4

f(2b) = -4b + 4

Answer:

8 11/12

Step-by-step explanation:

8 1/6 + 3/4 = ?

Let's find the equivalent fractions:

1/6 = 2/12         3/4 = 9/12

So, now let's add:

8 2/12 + 9/12 = 8 11/12

Decimal:

8 11/12 = 8.917

Answer:

0.125

Step-by-step explanation:

You multiply 2^4 by 2^-7

Answer:

-6,0 i think if that is one of your options

Step-by-step explanation:

Answer:

The x-Intercept is (14,0) And the Y-Intercept is (-6,0)

Step-by-step explanation:

Hope this helps:)

Answer:

5,000,000= 625000 this many tickets if there 8 $

Step-by-step explanation:

And the ticket is  8$

How you would solve it is you take the number of money and divide it by how much each of the tickets are then the finished product is how many you have to sell.

Answer:

80,386

Step-by-step explanation:

26: 55 degrees

25: 45 degrees

Answer:

It will take 100 purchased songs for iTunes and Napster to equal in price.

Step-by-step explanation:

iTunes: y=1.29x

Napster: y=1.19x+10

1.29x=1.19x+10

10=.10x

x=100