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Amiraneli [1.4K]
3 years ago
8

-24 + 2(w-9) Show and explain work (Distributive property)

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Answer:

2w-42

Step-by-step explanation:

-24+2(w-9)

We need to distribute the 2 to the w-9 in the parentheses as per PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

-24+2w - 18

Subtract -24 -18

2w - 42

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If the scale on a map is 1/4 in. = 50 miles, how many miles do 3 3/8 inches represent?
Korvikt [17]
Hey there Fish Girl!

So, if \left[\begin{array}{ccc}1/4 \end{array}\right] equals 50 miles, then we would do this multiplied by . . . . 

So, if we would want to go to 3 whole, we would then have to go to the number 3 of course. So then, we do \left[\begin{array}{ccc}4*3=12\end{array}\right] and then from this, we would have to multiply this my 50.

The reason to why we would have to do this is because 1/4 of a mile is 50, so then, sense we are trying to get to the number 3, then, from doing this,we would determine a figure out how many miles this would conclude to be.

\left[\begin{array}{ccc}12*50\end{array}\right]   =\left[\begin{array}{ccc}\boxed{\boxed{600}} \ so \ far!\end{array}\right]

So, now, we have covered 3 as a whole, then we would have to see how 3/8 and also 1/4 can relate to each other.

So, in this case,\boxed{\boxed{ \frac{3}{8} \ would \ be \ almost \ \boxed{half} \\ \ because \ it \ is \ almost  \frac{4}{8} }}

So, most likely, it would stay the same as it is, 1/4 because this is almost half to.

SO ALL WE WOULD NEED TO DO NOW IS TO ADD . . . . . 

\left[\begin{array}{ccc}\left[\begin{array}{ccc}\boxed{\boxed{600+50 \ or  \frac{1}{4}=650}} \end{array}\right]\end{array}\right]

YOUR CORRECT AND FINAL ANSWER TO THIS QUESTION WOULD BE. . . . 

\left[\begin{array}{ccc}650 \ miles\end{array}\right]

Hope this helps you fish Girl! :)
8 0
3 years ago
Read 2 more answers
Suponga que desea utilizar un servicio de correo particular para enviar un paquete que tiene forma de caja rectangular con una s
statuscvo [17]

a) El volumen de la caja en función de su longitud es:

V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x

b) El dominio de la ecuación del volumen son todos los números reales.

c) Las dimensiones del paquete con el mayor volumen posible son:

longitud de la caja  x = 30 plg

lado de la sección transversal L = 17.5 plg

a)

Definamos x como la longitud de la caja y L como el lado de la sección transversal, que es cuadrada para este caso.

Sabemos que la suma de su longitud (x) y el perímetro de la sección transversal (P = 4L) es igual a 100 plg.

x+4L=100 (1)

Ahora, el volumen de esta caja rectangular está dada por:

V_{caja}=A_{base}*x

V_{caja}=L^{2}*x (2)

Pero necesitamos expresar el volumen en función de x.

Despejamos L de la ecuación (1) y remplazarlo en (2).

Por lo tanto el volumen en función de x será.

V_{caja}=(\frac{100-x}{4})^{2}*x

V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x

b)

Al ser la función un polinomio de orden 3 el dominio de esta función son todos los numeros reales.

c)

Observando la gráfica de esta función, podemos ver que para un valor aproxiamdo de x = 30 plg el valor de V tiene un punto de inflección, es por definición de maximización de una función que podemos usar ese punto para encontrar las dimensiones de la caja.

Por lo tanto si x = 30 plg el valor de L usando la ecuacion (1) sera:

L=\frac{100-x}{4}

L=\frac{100-30}{4}=17.5\: plg

Por lo tanto la máxima dimensión de la caja es:

x = 30 plg

L = 17.5 plg

Puedes aprender más sobre maximizar funciones aquí:

brainly.com/question/16339052

 

     

 

6 0
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Kim made soup which contains 75 total ounces of beans. the soup has two kinds of beans, black and red. there are 4 times as many
Oksanka [162]
The answer would be 15 because 15 * 4 is 60 so the remaining amount would the amount of red beans there are in the soup
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Rewrite as a simplified fraction. 3. 5 =?<br> 5 repeats
True [87]

Answer:

32/9

Step-by-step explanation:

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1. Mr. McClellan has a board game that requires the use of two 4-sided dice. According to his rules, you can only start the game
stealth61 [152]
(A)

1,4
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1,2
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2,1
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3,1
3,2
3,3
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4,1
4,2
4,3
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5,1
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6,4
6,3
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(B)
3%

(C)
I'm not sure about the answer for C, Sorry. Hope this helps!
6 0
3 years ago
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