Entre Ana y Sergio tienen $500, pero Sergio tiene el doble de dólares que Ana. ¿Cuánto tiene cada uno? Halle la solución por el Método Gráfico Ana : x ; Sergio :y { + = = { + = − + = �
Answers
Answer:
Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.
Step-by-step explanation:
Consideramos que la mejor estrategia para resolver este problema consiste en leer cuidadosamente cada frase del enunciado, traducirlo matemáticamente y utilizar software gráfico para determinar la solución de las ecuaciones resultantes:
1) Entre Ana y Sergio tienen $ 500
[tex]x + y = 500[/tex] (Eq. 1)
Donde:
[tex]x[/tex] - Cantidad de dinero de Ana, medida en dólares.
[tex]y[/tex] - Cantidad de dinero de Sergio, medida en dólares.
2) Sergio tiene el doble de dólares que Ana
[tex]2\cdot x - y = 0[/tex] (Eq. 2)
En consencuencia, tenemos un sistema de dos ecuaciones lineales con dos incógnitas, lo que nos permite la posibilidad de encontrar una solución única y utilizar un plano cartesiano para su resolución. Mediante software gráfico (véase imagen adjunta) encontramos que la solución del sistema es:
[tex](x,y) = (166,67, 333,33)[/tex]
Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.
Related Questions
help i need this done asap
Answers
Answer:
The answer is x=26
Step-by-step explanation:
8x-71=5x+7 (because they are congruent you make them equal each other)
Add 71 to both sides
8x=5x+78
subtract 5x
3x=78
divide 3 from both sides
x=26
PLEASE HELP
Find the zero of the function 4x-5y=15
Answers
Answer:
(3.75,0)
Step-by-step explanation:
a zero is just the x-intercept so you just have to find that
to find that, set y as 0 and solve for x
-Consumer Awareness The prices per gallon of
regular unleaded gasoline at three service stations are
$3.439, $3.479, and $3.589, respectively. Find the
average price per gallon
Answers
Answer:
$3.502
Step-by-step explanation:
Average price per gallon = Sum of the prices/Number of prices
= (3.439+3.479+3.589)/3
= 10.507/3
= 3.502
4+7x=3x+4+4x I need help
Answers
Answer:
0
Step-by-step explanation:
move x's to one side and constants to another
7x-3x-4x=4-4
add constants and combine like terms
0=0
A salt water solution is cooled to −6° C. During an experiment, the mixture is heated so that its temperature rises at a steady rate. Write an equation to represent the temperature, y, after x minutes.
Answers
Answer:
y = -6 + xt
where t is the rate of rising of the heated mixture per minute
Step-by-step explanation:
From the question, we are lacking an important input. This is the value of the steady rise in temperature. In other terms, this is the rate at which the temperature of the mixture rises per minute.
Let this constant rate be t ° C. What this means is that it rises by this temperature in a minute.
in 1 minute, the temperature rise is t, in two minutes it will be 2t.
Then in x minutes, it will be xt
So adding the initial temperature of minus 6, the equation will be;
y = -6 + xt
The following image was reflected over the x-axis. What are the coordinates of C’?
Answers
Answer:
C' is (6,3)
Step-by-step explanation:
Since the new image was reflected over the x-axis, the x-coordinate would be the same as the orginial, it wouldn't change. The only thing that would change is the y-coordinate. The image has to be the same distance away from the original, so that means the y-coordinate would be the opposite sign. Reflecting the image over the x-axis would put it in quadrant one, so the y-coordinate would have to be positive.
Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40 meters and Diego ran 55 meters. How far did each person move in 1 second
Answers
Answer:Lin 4 and Diego 5.5
Step-by-step explanation: Lin 40÷10=4 and Diego 55÷10=5.5
Which statements about the trend line in Item 3 are true?
Select all that apply.
A. The slope is the cost of one book.
В.
The slope is the cost of Hana's lunch.
C.
The y-intercept is the cost of one book.
D.
The y-intercept is the cost of Hana's lunch.
Answers
Answer:
A and D
Step-by-step explanation:
I took it and I got it correct
The true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
As, from the graph the slope tells us about the cost of one book.
Now, From the graph if we talk about y- axis then we can see that the y- axis tells us about cost if Hana's lunch.
Hence, the true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch.
Learn more about slope here:
brainly.com/question/3605446
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Find the slope of the line that passes through the points (6, 5) and (4,8).
Write your answer as an improper fraction.
Answers
Answer:
-3/2
Step-by-step explanation:
hope this helps i tried my best
If they have 20 pounds of strawberries to freeze.If they put 1.25 pounds of strawberry would in to each freezing container how many containers will they fill
Answers
Answer:
They will fill 16 containers
Step-by-step explanation:
From the question,
They have 20 pounds of strawberries to freeze and they put 1.25 pounds of the strawberry into each freezing containers.
To determine how many freezing containers they will fill, we will divide the total mass of strawberries they have by the mass of strawberry they put into each freezing containers.
Hence,
Number of containers they will fill = Total mass of strawberries that have / Mass of strawberry they put into each container
Total mass of strawberries that have = 20 pounds
Mass of strawberry they put into each container = 1.25 pounds
∴ Number of containers they will fill = 20 pounds / 1.25 pounds
Number of containers they will fill = 16
Hence, they will fill 16 containers.
please help evaluate this equation!!
Answers
Step-by-step explanation:
no solution for zero?....
(a) A(-4,-10) and B(8,6)
Slope:
Midpoint:
Distance:
pls hlep
Answers
Answer:
slope: 4/3
Midpoint: (2,-2)
distance : 20
Step-by-step explanation:
you can find the slop by m=y2-y1/x2-x1
m= 6-(-10)/8-(-4) m=4/3
use the midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2 and we get (2,-2)
distance formula- [tex]\sqrt{(x2-x1)+(y2-y1)[/tex]
the distance is the square root of 400 which is 20
Write two different phrases that can both mean 5t - 4 = 1
Answers
1 = 4 - 5t and 4 - 5t + 1
A parent invests $2000 at a 5% interest rate to help his daughter save for college. How long will it take his money to double?
Answers
Answer: 20 years
Step-by-step explanation:
Principal = $2000
Rate = 5%
Interest = $2000
Time = Unknown
Since we want to know the time it will take his money to double, that means he'll have an interest of $2000.
Interest= PRT/100
2000 = (2000 × 5 × T)/100
2000 = 10000T/100
Cross multiply
2000 × 100 = 10000T
200,000 = 10000T
T = 200,000/10,000
Time = 20 years
IN NEED OF HELP!!
15 POINTS!!!
Answers
Answer:
what do you need help with?
Step-by-step explanation:
❤️
In the diagram below, which distance represents the distance from point Q to
RS?
Answers
Answer: QT
Step-by-step explanation: This is because line QT is a straight line, in which it leads from point Q to line RS. QT is true because any other lines have angles, which add more (inaccurate) distance.
The required representation of distance from point Q to RS is QT.
What is a line?
A line is a straight distance connecting two points or more showing the shortest distance between the initial and final points.
here,
A figure is shown with a line segment RS and a point is located some distance from line RS, denoted as Q. It is to be determined which represents the distance from point Q to RS.
The shortest distance between a point and a line is the perpendicular line drawn from the point to the line, so QT is the representation of the measure of the distance from point Q to RS.
Thus, the required representation of distance from point Q to RS is QT.
Learn more about lines here:
brainly.com/question/2696693
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I need help can someone answer this?
Answers
Answer:
-5x^2 + 2x - 3.
Step-by-step explanation:
-5x^2+2x-3.
this is right answer
Please help me undertand this please
Answers
Answer:
( 5, -10)
Step-by-step explanation:
The FloridaLakes data frame includes information collected by researchers when they analyzed samples of water (collected in standardized test tubes) from a number of lakes. Using the DataCamp window above, determine how many lakes are included in the data frame.
Answers
Answer:
53
Step-by-step explanation:
Using the data camp window The number of lakes that are included in the data Frame is 53
The Florida lakes data ( information ) were collected in standardized test tubes ) sorry i was unable to download the missing data camp window but the answer is 53
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?
Answers
Answer:
18m below the groundStep-by-step explanation:
"An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?"
We want to estimate the depth after certain number of time
Given
total depth=75m
rate of descends =12% of total depth
= 12/100*75= 0.12*75
=9 meters per minute
Therefore in 2 minutes we can use the expression to find the distance/depth
speed= distance/time
9=distance/2
distance=9*2
distance= 18 meters
Therefore the elevator is 18m below the ground in 2 minutes
Answer:
18 meters
Step-by-step explanation:
i took the test
Please solve forx
11
12 km
9 km
type your answer...
km
Answers
Answer:
x=69
Step-by-step explanation:
when you add the side lengths you have, you will get 21. since this is a right triangle, yoy subtract by 90. so 90-21 = 69
HELP TIMED TEST WILL GIVE BRAINLIEST !!
Which pair of sides is perpendicular?
A. Side 1 and Side 3
B. Side 2 and Side 3
C. Side 1 and Side 4
D. Side 2 and Side 4
Answers
Answer:
B. side 2 and side 3
Step-by-step explanation:
perpendicular if thr relationship of 2 lines that meet at a 90 degree angle which is what sides 2 and 3 do.
HELP!!!
10 POINTS!!!
Answers
Answer:
The line shape will be reflected over line y = -x
Step-by-step explanation:
If you were to draw these lines and reflect the image, the image will show as being reflected into quadrant 3.
Which expression is equivalent to ^4 sqrt x^10
Answers
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[tex] \sqrt[4]{ {x}^{10} } = \sqrt[4]{ {x}^{4} \times {x}^{4} \times {x}^{2} } = [/tex]
[tex]x \times x \times \sqrt[4]{ {x}^{2} } = {x}^{2} \sqrt[4]{ {x}^{2} } [/tex]
Thus the correct answer is the first one.
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os espelhos esféricos a seguir obedecem as condições de Gauss. Represente, adequadamente, os raios refletidos em cada um dos casos, explicando a propriedade do raio formado
Answers
i bet no one on here can hit my ovh
Answers
Answer:
Step-by-step explanation:
ok weirdo
Shelly spent $110 for renting a bicycle while she was on vacation. The rental consisted of a one-time payment of $20 and then $15 per day. Which number line shows the number of days, d, she rented the bicycle?
Answers
Answer:
well if she rents for 1 week it is $105 + the 1 time payment of 20
Step-by-step explanation:
110+105+20= $235
Answer:
i would say she spends $110 for renting a bicycle, and the d would be $15 per day.
Step-by-step explanation:
if a = -3 and b = 4
SOMEONE PLEASE HELP ME ON THIS
Answers
Answer:
Step-by-step explanation:
11. 5(-3)^2 - 4 - 3
5(9) - 4 - 3
45 - 7 = 38
The sum of a number x and 7 is at least 16
Answers
Which one?
A. B. C. or D?
Answers
the answer is b
Step-by-step explanation: