En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?

Answers

Answer 1

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)

Donde:

[tex]n_{V}[/tex] - Total de latas de atún, adimensional.

[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.

[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.

[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

[tex]n_{V} = 400[/tex] (2)

[tex]n_{l} = n_{w} +5[/tex] (3)

[tex]n_{h} = n_{w}+3[/tex] (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]

[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]

[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]

En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):

[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)

[tex]n_{A} = (5)\cdot (10)[/tex]

[tex]n_{A} = 50[/tex]

Hay 50 latas en total que tocan el fondo de la caja.


Related Questions

1. The printed price of a DVD player is $ 7500. If a sales tax of 8% is realised from the buyer, find the price at which the DVD player is sold?

Answers

Answer:

11 % of 3rds into 8

Step-by-step explanation:

Answer:

8100

Step-by-step explanation:

printed price = $7500

sales tax = 8%

selling price of DVD

= 7500 + 8% of 7500

= 7500 + 600 = $8100

Answer: DVD was sold for $8100

50 points!!! If your good at math please help! :)
Y is directly related to X, and Y is 81 when X is 27.

The constant of variation is ___
(there are no answer choices, it's just a type in box so i need an exact answer please! :))

Answers

Answer:

Since x and y are directly related, the equation for their comparison will look like

kx = y

where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.

kx = y

k (27) = 81

k = 3

So, the constant of variation is 3.

Find the slope of the line between the coordinates (-6, -13) and (3, -1) and simplify the fraction if needed.

Answers

Answer:

The slope is 1 1/3.

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{-1-(-13)}{3-(-6)}\\m=\frac{12}{9}\\m=\frac{4}{3}\\m=1\frac{1}{3}[/tex]

2,995,384 - 89 = blank​

Answers

Answer:

hope this helps

Step-by-step explanation:

2,995,384 - 89

==2,995,295

Answer:

the answer is 2,995,295

Please help due in 5 min solve for n

Answers

what is the question? i cant really understand your handwriting

Which function rule models the function over the domain specified in the table below?
f(x)
11
11
17
O f(x) =3x + 10
O fx) = 2x + 3
O fx)= 4x +5
O fx) =3x-10

Answers

It’s B homie .Jajejsjdjejdjrjrj

The function with the domain is given by f ( x ) = 2x + 3

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the x values be x = { -7 , -1 , 3 , 4 , 7 )

Let the y values be y = { -11, 1 , 9 , 11 , 17 }

Now , the function is given as  

f ( x ) = 2x + 3   be equation (1)

when x = -7

y = 2 ( -7 ) + 3

y = -11

when x = 7

y = 2 ( 7 ) + 3

y = 17

Hence , the function is f ( x ) = 2x + 3

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

I need a favor could you all check if am correct.​

Answers



Yep.....................


Please help me! 15 pts! + Brainliest!

The graph shows how the depth of a submarine increased as it dove beneath the surface. What can be concluded from the information on the graph? The graph is above, please answer correctly thanks :)

Answers

Answer:

D

Step-by-step explanation:

It increased 3 meters every second if you look closely at chart

What is the value of v?

Answers

Answer: V = − 1 /2 (Fraction)V = -0.5 (Decimal)_____________________________________I need everyone to know something! Don't let anyone ever push you down or call you worthless.  You are worth everything and more! So stay strong, hold on, and live long!  Most people don't hear this often. Your all loved, no matter what it feels like. So please, stay strong. If not for yourself then for me and everyone else who cares for you...

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Two car dealers in town are offering different sales on the same model of car. Sandra can buy the car from Al's Cars, which normally sells the car for $11,000 but will offer a 15% discount. Or she can buy the car from CarWorld, where the car sells for $12,500 and the dealership offers a 20% discount.

A. What is the price of the car at each dealership after the markdown?

B. How much will sandra save by going to the correct car dealer?


PLEASE HELP!!!​

Answers

A. AI cars $9350 and CarWorld $10000
B. She will save $1650 going to AI’s dealership

You bought a soda for $0.50, then sold it for $1.00. What was the percent
change?

Answers

Answer:

50

Step-by-step explanation:

Answer:

I think the answer is 50%

Step-by-step explanation:

$1.00-$0.50=$0.5

0.5 as a percentage is 50%

Please help if you can, thank you.
I think it's A or C, I'm not sure.
Please confirm.

Answers

Answer:

A

Step-by-step explanation:

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2 is labeled Replace with entries 12, +, divided by, k, 8.

Write and evaluate the expression. Then, complete the statement.

 

twelve more than the quotient of a number and eight

 

The value of the expression when k = 40 is  

.

jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how many do santa get

Answers

Answer:

and why did teacher ate it

Please help me I forgot how to do it

Answers

Answer:

b

Step-by-step explanation:

Answer : b




Explanation : it wouldn’t make sense for them to be the other ones

PLEASE HELP!!! A $950 computeris on sale for 15% off. If sales tax is 6% will this computer cost including tax?

Answers

Answer:

the computer will cost 864.5

Step-by-step explanation:

15% of 950 is 142.5.

950-142.5=807.5

6% of 950 is 57

Answer:

$855.95

Step-by-step explanation:

So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.

You’ll get 807.50.

Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95

So no adding and subtracting and that takes off 2 steps and its way quicker

So the final answer is $855.95

Help me solve this plssss

Answers

Answer:

UV = 40

UY = 40

Step-by-step explanation:

The sides in YXWVU are the same as the ones in GHIJK times 10.

UV = KJ*10

UY = KG*10

UV is 40
UY is 40
Those are the answers

A couch costs $350 to make. Before it is sold, it is marked up in price 80% more. How much will the couch cost?​

Answers

Answer:$630

Step-by-step explanation:

What is 80% of 350?

Y is 80% of 350

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 80% * 350

Converting percent to decimal:

p = 80%/100 = 0.8

Y = 0.8 * 350

Y = 280

then u add 280 to 350

ive been on vacation and forgot simple math what part of a function cant repeat? help pls

Answers

Answer:

The x-values cant repeat... Which is the first number in a ordered pair...

Step-by-step explanation:

L.maooo


plz help it’s a or b

Answers

Answer:A

Step-by-step explanation:

Answer: The think answer would have to be B because it has a rate of change of 2/3 or 8/12 and a has a rate of change of 4/12

Step-by-step explanation:

what is the solution to 9+4n -79

Answers

Answer:

17.5

Step-by-step explanation:

You have to find n right?

9+4n-79 = 0

-> 4n = 70

-> n = 17.5

ILL GIVE BRAINLEST
What is the independent variable (x) for this situation?


number of cases of paper

not enough information to determine independent quantity

cases of paper per tree

number of trees used

trees used per case of paper​

Answers

Answer:

The independent variable would be

trees used per case of paper

Step-by-step explanation:

Answer:

Number of trees used

Step-by-step explanation:

The number of trees used is the independent variable because it doesn't depend on anything, meaning it isn't changed by other variables. The number of cases of paper would be the dependent variable because it depends on the number of trees used.

Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana? StartFraction 1 Over 12 EndFraction of a pound StartFraction 1 Over 9 EndFraction of a pound One-fourth of a pound One-third of a pound

Answers

Answer:

[tex]Each\ Weight = \frac{1}{4}[/tex]lb

Step-by-step explanation:

Given

[tex]Weights = \frac{3}{4}lb[/tex]

[tex]Bananas = 3[/tex]

Required

Determine the weight of each

To do this, we simply divide the total weight by the number of bananas.

[tex]Each\ Weight = \frac{3}{4}/3[/tex]

Convert to multiplication

[tex]Each\ Weight = \frac{3}{4} * \frac{1}{3}[/tex]

[tex]Each\ Weight = \frac{1}{4}[/tex]

Hence, each banana weighs 1/4 of a pound

Ans C

Ste-by-ste-exp

its 1/4

Hello can you solve 2+2
Thx and bye

Answers

Answer:

4

Step-by-step explanation:

It’s is actually fish but most people from earth assume it is 4

In the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.​

Answers

Answer:

11

Step-by-step explanation:

It's proportions my son.

x / 33 = 10 / 30

It's 10/ 30 because the whole BA is 30 in total

Then cross multiply.

30x = 330

x = 11

Miley earns $10 per hour babysitting. Is the amount of money earned proportional to the number of hours she spends babysitting? If it is proportional, find the constant of proportionality, explain what it means, and write an equation to represent the situation. Then find out how much she would make for babysitting 5.5 hours.

Answers

Yes it’s proportional she would make 55 in 5.5 hours

Answer:

think what constant of proportionality is

Step-by-step explanation:

A worker is spray painting doors. It takes LaTeX: \frac{2}{5} 2 5 of a can of spray paint to paint 1 door. The worker has 2 cans of spray paint total. How many doors can the worker paint? Group of answer choices

Answers

Answer:

5 doors

Step-by-step explanation:

Can of spray paint : door painted = 2/5 : 1

The worker has 2 cans of spray paint total.

How many doors can the worker paint?

Let x = number of doors the worker can paint

Can of spray paint : door painted

2 : x

Equate both ratios

2/5 : 1 = 2 : x

2/5 ÷ 1 = 2/x

2/5 × 1/1 = 2/x

2/5 = 2/x

Cross product

2 * x = 5 * 2

2x = 10

x = 10/2

x = 5 doors

The worker can paint 5 doors with 2 cans of spray paint

3 is what percent of 90?

Answers

percentages
3% of 90 = 2.7 Dec 24 08:19 UTC (GMT)
1.3% of 50 = 0.65 Dec 24 08:19 UTC (GMT)
5% of 1,650 = 82.5 Dec 24 08:19 UTC (GMT)
61% of 1.618 = 0.98698 Dec 24 08:19 UTC (GMT)
76.56% of 309 = 236.5704

Answer:

2.7

Step-by-step explanation:

Just trust me, im right

Is (9.1)^2=973.2 true or false

Answers

Answer:

false

Step-by-step explanation:

Which of the followin statements are true about the equation 10x + 45x - 13 = 11(5x + 6) *

Answers

Step-by-step explanation:

The given expression is :

10x + 45x - 13 = 11(5x + 6)

We can simplify it as follows :

Opening parenthesis on RHS

10x + 45x - 13 = 55x + 66

Taking like terms together,

55x-55x = 13+66

0 = 13+66

The given expression has no solution, as the variable cancels out woh each other. It is a meaningless expression.

Please help me I need help puhleass

Answers

Answer:

I can not see the full question

Step-by-step explanation:

Answer:

12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5

Step-by-step explanation:

divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.

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