Answer:
Step-by-step explanation:
18x + 3y = 51
-2x - 3y = -3
16x = 48
x = 3
-2(3) - 3y = -3
-6 - 3y = -3
-3y = 3
y = -1
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apilando de manera conveniente todos ellos? Mostrá cómo lo pensaste Si quisieras formar un "cuadrado" con la mayor cantidad de cubos posibles, ¿cuántos deberías poner sobre cada lado? ¿Te quedarían cubos sueltos? ¿Cuántos? Mostrá cómo razonás
Answer:
(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
Step-by-step explanation:
(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.
El volumen de un cubo está dado por la siguiente fórmula:
[tex]V = L^{3}[/tex]
Donde:
[tex]L[/tex] - Longitud de la arista, medida en dados.
[tex]V[/tex] - Volumen del cubo, medido en dados cúbicos.
Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:
[tex]L = \sqrt[3]{V}[/tex]
Dado que [tex]V = 125\,dados^{3}[/tex], encontramos que la altura del cubo de mayor tamaño sería:
[tex]L =\sqrt[3]{125\,dados^{3}}[/tex]
[tex]L = 5\,dados[/tex]
Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:
[tex]A = L^{2}[/tex]
Donde:
[tex]L[/tex] - Longitud de arista, medida en dados.
[tex]A[/tex] - Área, medida en dados cuadrados.
Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de [tex]L[/tex] tal que no supere 125 y de un área entera. Es decir:
[tex]L \leq 125\,dados[/tex]
Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:
[tex]L^{2}< 125\,dados^{2}[/tex]
Esto nos lleva a decir que:
[tex]L < 11.180\,dados[/tex]
Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:
[tex]n = (11\,dados)^{2}[/tex]
[tex]n = 121\,dados[/tex]
Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
What’s -4•3-6•5
And the dot is multiplication!
Answer:
-42
Step-by-step explanation:
I put it in a calculator
Answer:
-42
Step-by-step explanation:
the answer should use PEMDAS so it is -42
1,500,000,000 in standard notation
Complete the expression so it forms a perfect-square trinomial.
x² - 5x +
✔ 25/4
x² +
x + 49
Answer:
Second question in Assignment = A) 14
Step-by-step explanation:
x^2 = 14x +49
Answer: 14
Step-by-step explanation:
The first one is 25/4 then 14
In which situation is the distance traveled proportional to time?
A. An airplane landing
B. A soccer ball you kick across a field
C. A person running on a treadmill at 3 mph for 6 minutes
D. A 3-minute ride on a roller coaster
Answer:
c
Step-by-step explanation:
Will give major points! and brainliest answer! to someone who gives a good answer!
Answer:
A. 2(3x+15) + 2(6x+6) = 96
B. x=3
Step-by-step explanation:
A. The original equation would be (3x+15) + (6x+6) + (3x+15) + (6x+6)
Step 1: you can simplify this to 2(3x+15) + 2(6x+6) because there are two of each of each equation.
Step 2: The question says that the perimeter equals 92, and because it is an equation, you should put =92 at the end.
B. Step 1: You should solve out each question separately, so 2(3x+15) = 6x + 30. This is because 2 × 3x = 6x and 2 × 15 = 30.
2(6x+6) = 12x + 12 because 2 × 6x = 12x and 2 × 6 = 12.
Step 2: Add the two: 6x + 30 + 12x + 12
6x + 12x = 18x and 30 + 12 = 42.
Step 3: Now we have a new equation: 18x + 42 = 96
Solve this like a normal equation. (Subtract 42 from both sides to get 18x = 54. Then divide by 18 on each side. This will give you x=3)
Can someone really help me please!!!!!!!!
Answer: 1/2
Step-by-step explanation: The line goes up one and over two. That is how you find your slope from a graph.
What are the factors of 42
Answer:
Step-by-step explanation:
42
/ \
6 7
/ \ \
2 3 7
Jackie plays football for the New England Patriots. During the second quarter, Jackie carried the ball 2 times. He gained four yards during the first carry and lost seven yards during the second. HOw many total yards did he gain during the second quarter?
Answer:
Actually he lost 3 yards.
It means he gained -3 yards.
Step-by-step explanation:
During second quarter, Jackie carried the ball 2 times. He gained 4 yards during first carry.
He lost 7 on second carry.
He gained = 4-7 =-3 yards
Sara can drive 240 miles in 6 hours. How many miles can she drive in 1 hour?
Answer:
40 miles in an hour
Step-by-step explanation:
240/6 = 40/1
Find the value of k. Then find the angle measures of the polygon
Answer:
45° + 2k + k = 180°
=> 45 + 3k = 180
=> 3k = 180 – 45
=> k = 135/3
=> k = 45
other two angles :-
2k = 2×45 = 90°
k = 45°
Six out of 40 is equivalent to
Answer:
3/20
Step-by-step explanation:
what must be true and what letter is the answer?
Answer:
4th one is correct for x/y
Evaluate
3/4•1/2
A.3/8
B.4/6
C.2/12
D.1/6
Answer: (A) 3/8
Step-by-step explanation:
3/4*1/2
3/4*2
= 3/8
Answer:
The correct answer is A.3/8
Step-by-step explanation:
According to the PEMDAS operations (parentheses, exponents, multiplication, division, addition, and subtraction) you must do multiplication before division. In order to do that we must change the equation to look like this: 3 x 1 / 4 x 2. Which would give you your answer of 3/8.
Hope it helps!
Absolute value
|3x-4|= |3x-5|
Answer: 3/2 or 1.5
Hope this helps
Answer:
The x value where both are equal is 1.5
Step-by-step explanation:
Graphed both, only point where the 2 functions intersect is at (1.5, 0.5)
I need answers ASAP!!!!
5^-13*5^5*2^5
Answer:
8.192x10^-5 or 32/5^8
Step-by-step explanation:
Answer:
the answer is 32/390625
Step-by-step explanation:
the decimal form is 8.192*10^-5
the cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. Write an equation in slope-intercerpt form that can be used to calculate the total amount you would pay for using this sailboat
Answer:
y = 20x + 12 is the answer
What is the inverse operation of a power or exponent?
Answer:
The inverse of a power function of exponent n is a nth root radical function. For example, the inverse of y = 10x^2 is y = √(x/10) (at least for positive values of x and y).
Please Help Me ASAP!!!
Everything you need is in the picture attached.
In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4
Answer:
D. 5 x 10⁶ ÷ 6.6 x 10⁴Step-by-step explanation:
If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;
6.6 x 10^4 mi² = $5 X 10^6
1mi² = $x
Cross multiply;
$5 X 10^6 * 1 = 6.6 x 10^4 * x
6.6 x 10⁴ x = 5 X 10⁶
Divide both sides by 6.6 x 10⁴ to get x;
6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴
x = 5 x 10⁶ ÷ 6.6 x 10⁴
x = 0.76*10⁶⁻⁴
x = $0.76*10²
Hence the key strokes on a calculator will give the cost the United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴
what is a line graph
Answer:
A graph with points connected by lines to show how something changes in value:
• as time goes by,
• or as something else changes.
Step-by-step explanation:
Answer:
This is a line graph
Step-by-step explanation:
Irma has 4 cups of powdered sugar. She sprinkles 1/2 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Irma sprinkle on the brownies?
Answer: 2 5/12
Step-by-step explanation:
Marcela took out a $600 discounted loan with a 4% annual interest rate over a period of 8 months. What is the effective annual interest rate for the loan? Round to two decimal places.
The table represents a function.
What is f(5)?
A. -8
B. -1
C. 1
D. 8
Answer:
A. -8
Step-by-step explanation:
We can look at the table and figure out how we get f(5)
really its just the x value pugged into the x value for the function
after that we look on the table, f(5) is -8 because at the bottum of the table it shows 5 and -8
High Hopes^^
Barry-
Enlarge the triangle by a scale factor of 1.5
Could someone please just figure out the coordinates of where the enlarged triangle should be? Thanks!
Answer:the bottom left corner of the triangle should be on the red dot right?
Step-by-step explanation:
sorry if this isn't helpful just trying to help
Let f (x) = 1 - 2x + 3x3 and g(x) = 6 + 7x?. For f (x) · g(x), what is the coefficient of the x term?
А.-14
B.4
C.7
D.21
E.18
6x10^5 is how many times as large as 3x10^3?
the answer would be 200 times as large
6x10^5=600000
3x10^3=3000
600000/3000=200
Answer:
200 times
Step-by-step explanation:
jada earned $50 babysitting and plans to use the money to go to the fair l.admission to the fair is $5 and each ride is $2.50.while at the fair she buys a funnel cake for $3.what is the maximum number of rides jada can ride?
Answer:
The maximum number of rides is 16
Step-by-step explanation:
She has a total of $50 and spends $3 for the cake and $5 for admission. She has to spend $2.50 for every ride.
Your equation would be set up as:
$50=$5+$3+$2.50x
You would combine like terms and get
$50=$8+$2.50x
Subtract the $8 from $50 and you get
$42=$2.50x
Divide each number by 2.50 and you get
16.8=x, you cannot have a decimal as an answer since she cannot ride eight tenths of a ride so the maximum number of rides is 16
7% decrease on a £6500 car.
he pays 12 every month
Answer:
£6045?
Step-by-step explanation:
please help me find out the answer in this picture :)
Answer:
The answer is "d" x= r-p / g
Step-by-step explanation:
First let's get rid of the "p" term on the left-side. After you've done that, you have to get rid of the g term. So you divide the x term by the g-term, you do this to both sides.