All categories

2 years ago

Find 3 numbers in GP whose sum is 28 and product is 512

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

3 0

Answer:

Let the three numbers be a,ar, ar^2 ,

where r is the common ratio.

⇒a+ar+ar^2 =28 and a^3 r^3 =512

⇒ar=8⇒a+ar^2 =20

⇒8r^2 −20r+8=0

⇒r=2,r= 1/2

If r=2,a=4

Therefore, the three numbers are 4,8,16.

Step-by-step explanation:

Hope it is helpful.....

You might be interested in

What percent of $375 is $11.25 and what percent of $56.25 is $11.25?

Angelina_Jolie [31]

Answer:

3%percent of $375 is $11.25 and 20% of $56.25 is $11.25 .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

First Part

As given

Total value = $375

Part value = $ 11.25

Put values in the formula

$Percentage = \frac{11.25\times 100}{375}$

$Percentage = \frac{1125}{375}$

Percentage = 3 %

Second Part

Total value = $56.25

Part value = $11.25

Put the values in the formula

$Percentage = \frac{11.25\times 100}{56.25}$

$Percentage = \frac{1125}{56.25}$

Percentage = 20%

Therefore 3%percent of $375 is $11.25 and 20% of $56.25 is $11.25 .

3 0

3 years ago

Read 2 more answers

The converse of a biconditional statement is always true.<br><br> True<br><br> False

Angelina_Jolie [31]

Yes it is always true a biconditional statement is defined to be true whenever both parts have the same truth value.

7 0

3 years ago

A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles

worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

$P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}$

We get a probability of:

$P= \frac{1}{27}$

This converts to a percentage of:

$\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%$

We get a percentage of 3.7%

8 0

3 years ago

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Alja [10]

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$ . This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation: $xy = 96$ , which can be defined as $y=\frac{96}{x}$