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3 years ago

how would you translate this into an equation one third of the number is 12 less than the number itself

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

How would you translate this into an equation one third of the number is 12 less than the number itself?

Let the number be x. We have:

(1/3)x=x-12

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Read 2 more answers

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago

At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If th

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Pizza Express has a larger constant of proportionality than Perfect Pizzas because 1.6 > 1.5

15/6 6/4

Simplify

5/3 > 3/2

PE: 5/3 or 1.6

PP: 3/2 or 1.5

I had this on my math test

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4 years ago

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling C

katovenus [111]

Answer:

2.75 x (c) = 500

Step-by-step explanation:

i think this is it

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