Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?

Answers

Answer 1

Usando un sistema de ecuaciones, se encuentra que:

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Para el sistema, considera-se que:

x es el peso de una caja grande.y is el peso de una caja pequeña.

Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:

[tex]3x + 5y = 112[/tex]

Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:

[tex]6x + 2y = 118[/tex]

Simplificando por 2 :

[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]

Reemplazando en la primera ecuación:

[tex]3x + 5y = 112[/tex]

[tex]3x + 5(59 - 3x) = 112[/tex]

[tex]3x + 295 - 15x = 112[/tex]

[tex]12x = 183[/tex]

[tex]x = \frac{183}{12}[/tex]

[tex]x = 15.25[/tex]

[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Un problema similar es dado en https://brainly.com/question/24646137


Related Questions

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. They are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 Which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (â€"425)2 (â€"275)2 (325)2 (75)2 (â€"75)2 = 423,750 (650)2 (â€"150)2 (â€"600)2 (250)2 (150)2 (â€"300)2 = 980,000 (250)2 (â€"400)2 (â€"250)2 (350)2 (100)2 (â€"50)2 = 420,000.

Answers

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

help me pleaseeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a) 6305/65= 97

b) 94+94= 188

   306-188= 118

Answer:

a. 87 b. 59

Step-by-step explanation:

typing bc I need to have 20 letters

There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275

Answers

Answer:

I cant see the numbers...

Step-by-step explanation:

Sorry! I can tell you the answer if you comment on this post.

Find the perimeter. Simplify your answer.

Answers

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

Answer:

Step-by-step explanation:

z+2 + z + 2 + z + 9 = Perimeter               Collect like terms

3z + 13 = Perimeter

What is the measure of x?
Z
Х
ТУ
4
9
x = [?] ✓
=
Give your answer in simplest form.
Enter

Answers

Answer:

  x = 2√13

Step-by-step explanation:

The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).

  x = √(4·13)

  x = 2√13

__

For more information, see https://brainly.com/question/25712788

4. FGH - MNP. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values

[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

somebody know the formula of a trapezium?

Answers

Hello There!

The formula for finding the area of a Trapezium is as follows.

A = a + b over 2, h

The first base being = a

The second base being = b

and the height being = h

So to solve plug in the values as described below.

a + b = ab

ab divided by 2

ab- times h

ab-h = Area

I hope I helped!

Brainliest is always appreciated.

Let P be between M and N use the segment addition postulate to solve for X

Answers

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

x - 8 + 3x - 9 = 21

4x - 17 = 21

4x = 21 + 17

4x = 38

x = 38/4 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Sprinters who run 100 yards now often run 100 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

If x=4 then 2(x-4) equals

Answers

First, since we know the value of x, we can plug that into the equation: 2(4-4)
Now, according to PEMDAS, solve inside the parentheses first: 2(0)
Lastly, we can multiply: 2 x 0 = 0

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

What is equivalent to 1/3 P +15

Answers

Answer:

1/3(p + 45)

Step-by-step explanation:

1/3 p + 15 is the same as 1/3(p + 45)

-Chetan K

identify the types of each triangle

Answers

Answer:

Step-by-step explanation:

1. right angled (isosceles)

2. acute (equilateral or equiangular)

3. obtuse

5. acute

Answer:

Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.

Step-by-step explanation:

One is a right triangle because it has one right angle.

Two is an equilateral triangle because all of the three angles are 60 degrees.

Three is an obtuse triangle because one of the three angles is more than 90 degrees.

Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees

What is 45.5% in simplest form?

Answers

Answer: 45.5/100 = 455/1000

Step-by-step explanation:

Step-by-step explanation:

45.5% in its simplest form is

[tex] \frac{91}{2} [/tex]

but 45.5% =

[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]

find the angles marked with with letters​

Answers

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Mark me BRAINLIEST

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

------------------------------------------------------

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

---------------------------------------------------

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3

Answers

Answer:

The y-intercept is 4

Step-by-step explanation:

in y=mx+b, the b will always be your y-intercept

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

Se tiene la siguiente proporción 2/5=8/x cual es el valor de x para que esta sea verdadera?

Answers

Es 20 si divides 2/5 te da 0.4 y si divides 8/20 te da 0.4 lo que hace que 2/5 = 8/20 sea verdad

Find the value for each variable.

Answers

the value of variable x is 55 answer ok . angle q is 35 p is 90

M and P = 90
N and Q = 35
R= 55

f(x)=X^2+2x-3
HELPPPP FINAL

Answers

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!

Dana filled the container with 3.5 liters of water. Her mother used 0.75 liters of water for cooking and 1.25 liters for a drink. How much water was left in the container?

Answers

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

graph the line with slope -3 passing through the point (4, -3)

Answers

Answer:

my suggestion to you is that you use a ruler and a piece of paper to draw out the graph then plot the point down and draw the line.

(I hope this helps you!)

Simplyfy (4^7/5^2)^3

Answers

Simplify (4^7/5^2)^3 https://brainly.com/question/13043992

What is the measure of angle 1 in the diagram 42 30 1 2

Answers

Answer:

The answer is no doubt about it

it’s 30!


it’s the middle number

PLEASE HELP ME OUT! Thank you!

Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA

Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem

FILL THE BLANKS

Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________

Answers

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA              1. Given

2. DB ≅ CB                                            2. Definition of midpoint

3. EB ≅ BA                                              3. Definition of midpoint

4. ∠EBD ≅ ∠ABC                                  4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA                                  5. S A S congruent

Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)

Answers

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

if 2 pints of milk cost £ 1.40, how much will 7 pints of milk cost​

Answers

Answer:

£4.9

Step-by-step explanation:

1.40 x 3 = 4.2

1.40/2=.7

4.2+.7= £4.9

solve this equation:
x+9=23

Answers

Answer: 14

Step-by-step explanation:  

x + 9 = 23

   -9     -9

x = 14

What is the range of this relation?
(-5,0)
(8,9)
(-10, 2)
(-1, -3)

Answers

Answer:

{0,9,2,-3}

Step-by-step explanation:

the range is all the ys.

these are all in the format (x, y)

Hope this helps.

PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.

Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +

Answers

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.

d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1

Please can someone help me answer this

Answers

Answer:

½ x 6 x 3=9 which is 9+9+9+9+9

Other Questions
what was the first card game introduced for windows in the early 1990s? Plz help!! Given: DE is a midsegment of ABC. Show all work.Find the value of x and y.And What is the length of AC? !Please show all work! Incase photo is blurry AE-y+6EC-x-3DE-x+2BC-24 solve pls brainliest Grace wishes to buy a corporate bond with a par value of $1,000 from SFT Legal. If Graces broker charges her a commission of 4% of the market value of each bond, and SFT Legal has a market rate of 103. 563, how much commission does Grace owe her broker? a. $107. 56 b. $41. 43 c. $40. 00 d. $44. 14. Which sentence reveals the authors point of view?1.Learning to ski when you're an adult can be difficult.2.. But you can avoid embarrassment when learning how to ski as an adult and reap great rewards of a fun activity.3.Now, here's a piece of wisdom for you: you are going to fallnot once, but many times.4. Whatever you do, don't whine about how sore you are or what a big bruise you'll have tomorrow. Is a hot dog a sandwich? If so why or why not? how did john stuart mill correct the ills of industrialization A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3) B. y - 5 = 3 (x - 2) C. y - 9 = 2 (x + 3) D. y + 9 = 2 (x + 3) Write a short paragraph that discusses how the culture of Rome and how it reflected life and values in the Roman Empire.HURRY I NEED A PARAGRAPH Hot-spot volcanic islands can cool and eventually sink beneath the ocean's surface, turning them into Group of answer choices oceanic plateaus. large igneous provinces. continental shelves. seamounts. Quadrilateral ABCD has the followingvertices:A(2, 7)B(8,1)C(1, -9)D(-6, -2)Is quadrilateral ABCD a parallelogram, andwhy? From 2000 to 2010, which continent or region did the most people come from? From which country did the most immigrants come? Judicial review allows the modern Supreme Court to act as which of the following? Select one:a.A guide to acceptable legislationb.The final authority on legislationc.The chief referee of the U.S. political systemd.The keeper of the Constitution if you subtract 15 from a number and multiply by-6, the result is -54. What is the number? Zach bought 5 DVDs for $14.95 each. How much did he pay, NOT including sales tax what are the differences between the path taken by sperm cell and that by the egg cell when they are released? HELP PLZ ND THX U?!?!?!?!?!?!?!?!?! URGENT PLEASE HELP WILL MARK BRAINLIEST Involving others in meaningful tasks is an example of which positive leadership quality. The process of introducing a needed, normal gene, into human cells is called DNA mapping. True False