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insens350 [35]
3 years ago
14

An office upgrades its internet speed from 15^6 bits per second to 15^9 bits per second. How many times greater is the new inter

net speed? The new internet speed is times greater.
Mathematics
2 answers:
Crank3 years ago
4 0

Answer:

So 15^6 is the same thing as 15x15x15x15x15x15

and 15^9 is the same thing as 15x15x15x15x15x15x15x15x15

so the internet speed is 3 times greater

Step-by-step explanation:

Anni [7]3 years ago
3 0

Answer:

The new internet speed is 3375 times greater.

Step-by-step explanation:

Internet speed from:

15^6  bits per second

to 15^9  bits per second

How many times greater is the new internet speed?

Ratio between the new internet speed by the old one.

$\frac{15^9}{15^6} = 15^3=3375$

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\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

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