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Murrr4er [49]
4 years ago
10

A rectangular prism has a volume of 24 inches for a school project sharon applies a scale factor of three to the prism find the

volume ratio to the large prism to the original prism
Mathematics
1 answer:
victus00 [196]4 years ago
5 0

Answer:

27 : 1

Step-by-step explanation:

The prisms will be similar meaning the lengths of the sides of one will be 3 times larger. But when the volume is found it will be 3*3*3 = 27 times bigger. Take the example 2 * 4 * 3 = 24.

After a scale factor it will be 6 * 12 * 9 = 648

And 24*27 is 648.

The volume ratio 648 : 24 will simplify as 27:1.

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7 0
4 years ago
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If you raise your workers salary be a scale factor of 9/5 and their salary is now $14.80 what was it before?​
asambeis [7]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Resolver el siguiente sistema de ecuación:
snow_tiger [21]

Answer:

x=-1\\y=4

Step-by-step explanation:

\frac{5x+2y}{3}=1

\frac{2x+y}{2}=1

Vamos a utilizar el método de sustitución. Vamos a despejar la segunda ecuación por alguna de las variables. Elegiré la y porque esta sola.

\frac{2x+y}{2}=1

Vamos a empezar por eliminar ese 2 del denominador. Para hacer esto, multiplicamos por 2 ambos lados de la ecuación.

2x+y=1*2

2x+y=2

Como vamos a despejar la y, restamos 2x en ambos lados.

y=2-2x

Listo.

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

Procedemos a reemplazar el valor de y en la primera ecuación.

\frac{5x+2y}{3}=1

\frac{5x+2(2-2x)}{3}=1

\frac{5x+4-4x}{3} =1

Procedemos a operar términos semejantes.

\frac{x+4}{3} =1

Nos deshacemos del 3 multiplicando.

x+4=1*3\\x+4=3

Restamos 4

x=3-4\\x=-1

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

Una vez encontrado el valor de x, procedemos a reemplazar en cualquier ecuación para encontrar el valor de y. Usaré la segunda ecuación.

\frac{2x+y}{2}=1

\frac{2(-1)+y}{2}=1

Procedemos a resolver;

\frac{-2+y}{2} =1

Multiplicamos por 2.

-2+y=1*2

-2+y=2

Sumamos 2

y=2+2\\y=4

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

Para comprobar que los valores son correctos, reemplazamos ambos valores en cualquier ecuación y el resultado debe ser igual.

Usaré la primera.

\frac{5x+2y}{3} =1

\frac{5(-1)+2(4)}{3} =1

Resolvemos;

\frac{-5+8}{3} =1

\frac{3}{3}=1

1=1

6 0
4 years ago
A tennis ball weights about 56.7 grams. About how many ounces would a dozen tennis balls weight?
liberstina [14]

Nothing "weighs" 56.7 grams. "Gram" is a unit of mass, not force or weight.

On Earth, 28.35 grams of mass weigh about 1 ounce .

1 dozen of anything = 12 of them

If each tennis ball has 56.7 grams of mass, then a dozen of them
have

               (12) x (56.7) = 680.4 grams of mass .

Their weight is    (680.4 grams) x (1 ounce / 28.35 grams) =

                             (680.4 / 28.35)  =  24 ounces.

                                              That's  1.5 pounds. 

5 0
3 years ago
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