4. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work. Convert your answer into scientific notation if necessary.

Answers

Answer 1

Answer: Time = distance/speed. T = 1,200,000,000/28,000. This can be cancelled to 1,200,000/28. Rounding 28 to 30 for the estimate, divide by another ten: 120,000. Then divide by the remaining 3 from 30: 120,000/3 = 40,000. It will take approximately 40,000 hours.

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You are told that having a college education increases a person's earnings by 30% over their lifetime. A non-college graduate earns about $30,000 per year. How much more will you earn with a college education over a 40 year career?

Answers

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30,000 per year annual income by a non-college educated man or woman
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What is the arc length when θ = and the radius is 7 cm? (5 points)

Answers

What is the arc length when Θ=3 pi/5 and the radius is 7 cm?
Here are the available answers... 21pi/5 cm 12pi/5 cm 6pi/5 cm 3pi/35 cm

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5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer:

La fracción de bombones que se comieron entre los dos es $(7)/(10)$

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

$(1)/(5) +(1)/(2)$

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.
10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

$(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)$

Ahora simplemente sumas los denominadores:

$(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)=(7)/(10)$

La fracción de bombones que se comieron entre los dos es $(7)/(10)$

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

$1-(7)/(10)$

Restando de manera similar al procedimiento usado para la suma se obtiene:

$1-(7)/(10)=(3)/(10)$

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

$cantidad total de bombones=(1*12)/((3)/(10) )$

cantidad total de bombones=40

La caja tenía 40 bombones.

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