.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?

Answers

Answer 1

Answer:

El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:

x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanas

Juan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.[/tex]

Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:

x= 8.90 - 4*y

Reemplazando esta expresión en la segunda ecuación se obtiene:

5*(8.90 -4*y) + 10*y=24.50

Resolviendo se obtiene:

5*8.90 -5*4*y + 10*y=24.50

44.5 -20*y + 10*y=24.50

-20*y + 10*y=24.50 -44.5

-10*y= -20

y= (-20)÷ (-10)

y= 2

Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:

x= 8.90 - 4*2

x= 8.90 - 8

x=0.9

El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.


Related Questions

PLEASEEE SOMEONE HELP ME ON THIS!!!! It’s due in a couple hours

Answers

Answer:

x = 8.0 m

Step-by-step explanation:

With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.

Answer:

8

Step-by-step explanation:

This to the nearst tenth in decimal

Could someone please explain how to solve this equation step by step? -9/2 + 2x+9/2x =-5

Answers

Answer:

nope sorryyyyy

Step-by-step explanation:

hahahaha

Geometry question, help ya girl out

Answers

Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

you guys are literally the best! much love <3

Answers

Answer:

ty::::::>>>>>::::>

Step-by-step explanation:

Hep meeee shhdjahsnsjsnsnsjjsnssjsusns

Answers

Answer:

X= 42 degrees

Step-by-step explanation:

When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.

3x+12+x=180

4x+12=180

-12.     12

4x= 168

x= 42

i don’t understand??

Answers

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Hypotenuse = x

Base = 4

Perpendicular = [tex]\sqrt{84}[/tex]

Using Pythagoras Theorem:

[tex]\sf H^2 = P^2 + B^2\\\\ x^2 = (\sqrt{84} )^2 + (4)^2\\\\x^2 = 84 + 16\\\\x^2 = 100\\\\Taking \ sq \ root \ on \ both \ sides\\\\x = 10\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Express 0.0175 in scientific notation.

Answers

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

*
What is the slope and y-intercept of y=-3x+7?

Answers

Answer:

The slope is -3 and the y-intercept is (0, 7)

Step-by-step explanation:

In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.

solve 5x + 17 = 3x - 7 pleaseeeee hurryyy

Answers

Answer:

14 141414141414114141411

Answer:

What is the answer 3.14x6=

Answers

3.14 x 6 = 18.84
The answer is 18.84

The value is 18.84.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

3.14 x 6

Multiply the values.

= 18.84

Thus,

The value is 18.84.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

which of the following is not an undefined terms in geometry

Answers

Answer:

First where are the "following" and this should be in geometry

Step-by-step explanation:

question:

i am not able to see the following. maybe you forgot to add it in? its okay since i have done that mistake before! but i wont be able to help with a problem i cant see :(

Corey needs at least 2 gallons of paint to make a mural. If Corey has 6 quarts and 3 pints of paint, will he be able to make a mural?

Answers

Answer:

no

Step-by-step explanation:

4 quarts = 1 gallon, so he would have 1.5 gallons.

8 pints = 1 gallon, he would need 4 pints to have 2 gallons

Answer:

No he will not.

Step-by-step explanation:

6 quarts to a gallon is 1.5

3 pints to a gallon is 0.375

you add those together you get 1.875 not 2

Find the measure of the missing angle

A-53
B-67
C-120
D-60

Answers

Answer:

D-60

Step-by-step explanation:

All angles in a triangle add up to 180

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of the cocktail is apple juice?
Give your answer as a fraction in its simplest form.

Answers

Answer:

5/9

Step-by-step explanation:

First, find the total number of mL in the drink:

20 + 10 + 15

= 45

There are 10 mL of apple juice, so the proportion will be 10/45

Simplify this by dividing the numerator and denominator by 5:

10/45

= 5/9

So, 5/9 is the proportion of the cocktail that is apple juice

PLEASE HELP!!! The question is below the graph.​

Answers

Answer:

Yes

Step-by-step explanation:

The line is good because it is representing the data accuratly because it is in the middle of all the data points and since all the point are near the line, it is accurate.

What is the equation of the axis of symmetry for the quadratic equation y = 3 * (x - 6) ^ 2 - 10 ?
1) x = -6

2) x = 6

3) y =6

4) y = 10

HURRY !!! (28 points )

Answers

Answer:

Step-by-step explanation:

either 10 or 6 heres this

If x = 9 units, y = 2 units, and h = 11 units, find the area of the trapezoid shown above using decomposition

Answers

Answer: 143 square units

Step-by-step explanation:

Which is the simplified rational expression for (9x - 5)/(4x - 1) + ((3x - 8)/(4x - 1) - (5x + 3)/(4x - 1)) (7x - 10)/(4x - 1) (7x - 15)/(4x - 1) (17x - 15)/(4x - 1) (17x - 15)/(4x - 1)

Answers

Answer:

Answer B  [tex]\frac{7x-16}{4x-1}[/tex]

Step-by-step explanation:

5
Which of the following sets of values completes the function table?
Input (x)
3x-1
Output (y
2.
3(2) - 1
3
313) - 1
4
3[4)-1
A) 0,1,2
B 5, 8, 11
5, 6, 7
D) 6,9,12

Answers

Answer:

5, 8, 11

Step-by-step explanation:

3(2) - 1 = 5

3(3) - 1 = 8

3(4) - 1 = 11

Answer:

27,81

Step-by-step explanation:

Can someone HELPPPPPP?!??!?!?

Answers

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Yes d is the correct answer

Look at this shape:
L
w
Which image shows a rotation?
1
L
A
B
С
А
B
С

Answers

Answer:

In my opinion is B

6. Step 1: Calculate the area of
ADEF using the scale factor.

62.5 ft

156.25 ft

88 ft

163.75 ft

Answers

Answer:

1234567890

Step-by-step explanation:

?

1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment​

Answers

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

15.. if that question is typed out correctly

As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change? Show your work.

PLZ HELP ME

Answers

Answer:

2.25

Step-by-step explanation:

I think it is this in fraction form 2 1/4

Which number line and expression show how to find the distance from 4 to 1?

Answers

Answer:

C

Step-by-step explanation:

the quotient of x and the sum of three and one

Answers

The quotient of x and the sum of three and one:

x/4

Find m show work pls

Answers

Answer:

Where is M??

Step-by-step explanation:

The room can hold a maximum of 400 people. If there are already 134 people
there, how many more can come? Identify the inequality that represents this
situation.
A-x - 134 < 400

B-x + 134 < 400

C-x - 134 <400

D-x + 134 < 400

Answers

Answer:

x+ 134 is less than or equal to 400 is the answer

magggie wants to pack 20 cokkies equally in boxes each box holds 5 cookies how many boxes does she need

Answers

Answer:

4 boxes

Step-by-step explanation:

20 ÷ 5 = 4

hope this helps

The time t required to do a job varies inversely as the number of people working. It takes 4 hr for 7 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?

Answers

9514 1404 393

Answer:

  3 1/2 hours

Step-by-step explanation:

If there are 8/7 times as many cooks, it will take 7/8 the amount of time. (That's what "inversely proportional" means.)

  (7/8)(4 h) = 28/8 h = 3 1/2 h

It will take 8 cooks 3 1/2 hours to prepare the dinner.

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