Find the greatest common factor (GCF)

S_A_V [24]

<span>14100000 written in scientific notation would be 1.41 x 10^7 because you have to make the number be between 1 and 10, so you would put your decimal between the 1 and 4, then you would count the number of zeros in standard form, then you would solve and your answer would be 1.41 x 10^7</span>

8 0

3 years ago

Read 2 more answers

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

2 years ago

Solve <br><br> 9x-14-2x=5(2x-6)

deff fn [24]

$9x-14-2x=5(2x-6)\qquad\text{use distributive property}\\\\(9x-2x)-14=(5)(2x)+(5)(-6)\\\\7x-14=10x-30\qquad\text{add 14 to both sides}\\\\7x=10x-16\qquad\text{subtract 10x from both sides}\\\\-3x=-16\qquad\text{divide both sides by (-3)}\\\\\boxed{x=\dfrac{16}{3}}$

8 0

3 years ago

Solve for : x 4(x+5)=3(x-2)-2(x+2)

Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

( 4 × x ) + ( 4 × 5 )

4x + 20

Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

5 0

2 years ago

Does 4/7 and 24/35 form a proportion?

nignag [31]

Well 24=4*6, and 35=7*5 not 6, so 4/7 doesn't = 24/35, so no

6 0

3 years ago