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2 years ago

A computer can burn 16 CDs in 48 minutes. How many CDs cand the computer burn in 1 1/5?

Mathematics

1 answer:

andrew11 [14]2 years ago

3 0

Answer:

24 CDs.

Step-by-step explanation:

1 1/5 hours = 72 minutes.

By proportion the number of CD's produced in 72 minutes

= 72/48 * 16

= 3/2 * 16

= 48/2

= 24 CDs.

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2 years ago

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3 years ago

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3 years ago

What is the GCF of 2x4 and 4x2 a) 2x^2. B) 2x^4. C) 4x^2

Zinaida [17]

Answer:

$a)\ \ \ 2x^2$

Step-by-step explanation:

-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.

-Given the set $2x^4\ \ and \ \ 4x^2$

we notice, that the GCF can't be an integer with the power of x greater than 2:

$=>\frac{2x^4}{2x^2}=x^2\\\\=>\frac{4x^2}{2x^2}=2\\\\GCF= 2x^2$

Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is $2x^2$

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3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

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2 years ago