loriegilbreath
loriegilbreath loriegilbreath
  • 08-03-2019
  • Mathematics
contestada

The mass of a boulder is 10^6 grams. The mass of a pebble is about 10 grams. The mass of the boulder is how many times the mass of the pebble?

Respuesta :

calculista
calculista calculista
  • 17-03-2019

Answer:

The mass of the boulder is 100,000 times the mass of the pebble

Step-by-step explanation:

Let

x-----> the mass of a boulder

y-----> the mass of a pebble

we have

[tex]x=10^{6}\ grams[/tex]

[tex]y=10^{1}\ grams[/tex]

Find the ratio

[tex]\frac{x}{y}=\frac{10^{6}}{10}[/tex]

Simplify

[tex]\frac{x}{y}=10^{5}[/tex]

Solve for x

[tex]x=10^{5}y[/tex]

[tex]x=100,000y[/tex]

therefore

The mass of the boulder is 100,000 times the mass of the pebble

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