Answer:
$25.5
Step-by-step explanation:
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?
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.
solve for y 5y-28=7(y=2) Simplify your answer as much as possible.
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
V = X timesY times Z solve for x
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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A round trip from Montreal to LA is 2,688 miles and takes an airline 9 hours and 20 minutes. Given the outbound trip is the same distance as the return trip, and the speed of the plane was 25%faster on the return trip, how long did the return trip take? Answer to the nearest minute.
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
Ali's latest photo got 42 likes. this is 3 times as many likes as kate's latest photo. how many likes did kate's photo get ?
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
Your car averages about 27 miles per gallon on highways. With gasoline priced at $2.599 per gallon, how much will
you expect to spend on gasoline during your 500-mile trip?
$192.38
b. $18.51
C $70.17
d. $48.13
Answer:
I want to say C
Step-by-step explanation:
Because $2.599 * 27 = 70.173
Answer:top answer iswrong its D.
Step-by-step explanation:
1. SIMPLIFY EACH EXPRESSION:
8x2 - 7x + 4x3 - 2-3x2 + 9x - 4
5(7 + 3x) - 12
2[z + 3) + 3(5 – 3z)
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!
which are the roots of x^2-4x+4=20
The money collected from a Saturday car wash are directly proportional to the number of cars washed. The total money collected after 7 cars is $140. Write an direct variation equation relating the money collected (m) and the number of cars washed
Answer:
[tex]m=20c[/tex]
Step-by-step explanation:
Let m represent the total money collected and c represent the amount of cars washed.
We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:
[tex]m=kc[/tex]
Where k is a constant.
We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:
[tex]140=7k[/tex]
Find k. Divide both sides by 7:
[tex]k=20[/tex]
So, the value of k is 20.
We can now substitute k back into our direct variation equation:
[tex]m=20c[/tex]
This means that every car costs $20 to wash.
And we're done!
Answer:
7x140=980
Step-by-step explanation:
7x140= what
What is the measure of <2? m<2=31, m<2=50
Answer: invalid input
Step-by-step explanation:
What do angles 25 and 26 measure?
26: 55 degrees
25: 45 degrees
Can I have some help please?
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
Help please I have a F in this class!!
ILL MAKE BRAINLIEST PLEASE HELP
Answer:
no you can only use side side side when all of your triangles are equilateral triangles
Step-by-step explanation:
-21w + 5 + 3w -1 pls anwser
Answer:
-18w +4
Step-by-step explanation:
-21w + 5 + 3w -1
Combine like terms
-21w +3w +5-1
-18w +4
What is the value of 5xexponent 3 y exponent 2 when x=2 and y=4
Find the measure of the missing angles.
Helpp
x = 90 ( supplementary angle )
y = 180 - ( 90+ 26)
= 180 - 116
= 64
50=50-10a It is for 2 step equations
Answer:
i think the answer is 0
Step-by-step explanation:
If h(x)=x2−3x+5, what is h(−3)?
23
5
-13
20
What is the slope of this line?
A. −5
B. 5
C. −15
D. 15
Picture Down Below
Answer:
It seems that the slope of this line is 1/5, yet none of the answers correspond to this. Double-check by finding two points on the line, and use the slope formula: (y2-y1/x2-x1). Also, remember that slope is rise/over run. I hope this can guide you!
Answer: the answer is not included in the options
Step-by-step explanation:
The slope of the line can be depicted by the following formulas: 1. Rise/run 2. Y1-y2/ x1-x2
If we were to use the second formula and “plug” in numbers for the variables, the slope we calculate is less than 1
The cost to purchase a song from iTunes is $1.29 per song. To purchase a song from
Napster, you must be a member. The Napster membership fee is $10. In addition, each
purchased song costs $1.19. How many songs must be purchased for the monthly price of
Napster to be the same as iTunes?
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
How many tickets will they have to sell to make 5,000,000?
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:
factor of x² +46x +45 is?
i need solution please
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
In the given figure AB parallel to CD then value of x is?
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
what is 8 1/6 + 3/4
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
Somebody please help!
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! :)
A 5 pound bag of potatoes costs $3.78. How much would a 3 pound bag cost?
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 :)
if y= -4/5x+6 what is the value of x when y=-6
Answer:
15
Step-by-step explanation:
What is 2 to the 4 times 2 to the -7
Answer:
0.125
Step-by-step explanation:
You multiply 2^4 by 2^-7
Derek can do 50 pushups. Roger can do
8% fewer than Derek can do. How many
pushups can Roger do?
Answer: 40
Step-by-step explanation: 50x0.8=40
Okay, maybe im wrong? But i dont see how its 4 thats more than half.
Rodger can do 46 pushups.
50 * 0.92 = 46
Edit: To better clarify, 0.92 is from 1.00 - 0.08.
... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92
Keep in mind that:
1.00 = 100%
0.08 = 8%
0.92 = 92%
After finding this you may multiply 50 * 0.92 to get 46.