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.
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
What is an equation of the line that passes through the points (5, 8) and (5,3)?
Answer:
x = 5
Step-by-step explanation:
to find the slope of the line you take the difference of the y-values divided by the difference of the x-values; the denominator results in zero
When the denominator for slope is zero then you know the line will not intersect the y-axis at all and the line will be vertical and intersect the x-axis at the x-coordinate of any known point
any fraction with zero in the denominator is considered to be 'undefined'
any fraction with zero in the numerator is zero
Which of these situations is not a situation of proportionality? Immersive reader A person's age and height The cost of filling up with gasoline and the number of liters purchased The number of working days and the salary The number of movie tickets purchased and the total bill
Answer:
A person's age and height
Step-by-step explanation:
Required
Select which do not represent proportionality
Proportionality exists when a unit rate can be calculated.
For instance:
- If 2 litres of gas is $2, then the unit rate is $1 per litre
- If an employee is paid $100 for 5 days, then the unit rate is $20 daily
- If 5 movie tickets cost $50, then the unit rate is $10 per movie
The above scenario are used to describe options (2 - 4) because they can be expressed in unit rates.
However, this is not the same for age and height because age is not a function of height and height is not a function of age. In other words, they can not be expressed in proportions.
So, option (a) is not a situation of proportionality.
Please Help Will give brainliest, 5 stars and thanks!
A $48 aquarium is on sale at a discount of 24%. What is the sale price of the aquarium?
Answer:
36.48$
48x24/100=11.52
48-11.52=36.48
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
solve the equation 13x+16y=11 for y
x − 3 = 6 − 2 x = − 8 √ x = 3
help me please! ill make you brainliest.
The centre of this circle is marked with a cross (*).
Label the lines drawn using the correct circle vocabulary
Answer:
one is radius and the other is chord
Step-by-step explanation:
What is the difference of the fractions? Use the number line to help find the answer.
LE
13
54
|
1
16
18
120
14
120
to
다.
-
0
11
10
10
20 20
20 20 2020
x
20
0
Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
Determining the difference of the fractions
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.
[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{4-15}{20}[/tex]
Add the number: 4-15 = -11
[tex]=\frac{-11}{20}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{20}[/tex]
Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.
Therefore, option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in US dollars.
[tex]C[/tex] - Current amount, measured in US dollars.
[tex]r[/tex] - Annual interest rate, measured in percentage.
[tex]t[/tex] - Time, measured in years.
If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:
[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]
[tex]C = 4594.76\,USD[/tex]
4594.76 USD will be in the account on Burt's 18th birthday.
What is the slope of -8,0 and -3, 15 please explain to me
Answer:
m=3
Step-by-step explanation:
rise/run or y/x
using the y coords/x coords
15-0/-3-(-8)
=15/-3+8
=15/5
=3
Pls help PLSSSS PLSSS
Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft
Translate the following equation into a verbal sentence: x-6=2(8+x)
A- six less than x is two times the sum of eight and x
B-the difference between 6 and x is two times eight plus
C-six less than xis two times eight plus x
D- the difference between 6 and x is two times the sum of eight and x
what
[tex] \sqrt{9} [/tex]
Answer:
3 is the answer ####%%##
From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.
Answer:
The answer is "[tex]\bold{17456.6 \ ft}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]
The height of tower (AB) = 300 ft
Distance = CD
[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]
calculating CD :
[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]
Solve the equation, showing each step of the solution.
1 (x – 10) = -4
Answer:
x=6
Step-by-step explanation:
x-10=-4 (Distribute)
x=6 (Inverse operations {Add 10 on both sides} )
X=6
Evaluate if x=-4 and y=13 3(2x- y)
Answer:
-63
Step-by-step explanation:
6x - 3y
= 6 × -4 - 3 × 13
= -24 - 39
= -63
what do i put in the blank?
Answer:for m find the difference between y and x and for b add all of them up
Step-by-step explanation:
The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
help pleaseeeeee! I need an answer quick please
Answer:
subtraction
Step-by-step explanation:
b= 40 - 5
40- 5 =35
b=40
Answer:
addition
Step-by-step explanation:
Please show step by step how to do this (2-step) equation
3x + 6 = 21
Answer:
x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x/3 = 15/3
x = 5
Is this a good outfit for a family gathering/ holiday party?
Black velvet skinny jeans
cream/white shirt
oversized rose cardigan
sparkly barrette
lightly curled hair
matte light makeup
Answer:
in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair
Step-by-step explanation:
that is in my opinion
This my last question I need help plz
Answer:
y-5=1/3(x-6)
Step-by-step explanation:
SO find the slope first
ANd then just fill out the point slope formula
14.8 - 4b - (17.1-3b)
Answer:
-3.3
Step-by-step explanation:
how do Translate 4n = x(5 –n) into a sentence.
Answer:
4b=x3(76)+10
Step-by-step explanation:
AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce.
a) Mr. Molinari noticed that his package would cost the same to mail using either service. Write an equation to represent this situation.
b) How much does Mr. Molinari’s package weigh?
a. The equation that both services would cost the same is
0.25x + 5 = 0.35x + 2.
b. The weight of Mr. Molinary's package is 30 ounces.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.
United Packages charges $2 plus $0.35 per ounce.
Assuming the no. of ounces to be x.
∴ 0.25x + 5 = 0.35x + 2.
0.25x - 0.35x = 2 - 5.
- 0.1x = - 3.
x = 3/0.1
x = 30 ounces.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Find the value of
x
x for the following:
x
=
12
x
=12
Answer
144
Step-by-step explanation:
12*12=144?
x=12
x=12
then what?
What is the answer to 6and 7
Answer:
It might just be me but the pic is super blurry could you possibly get a better one?
Step-by-step explanation:
