All categories

1 year ago

Why do you divide each term in the sum by the same factor that you pull out of the sum?

Mathematics

1 answer:

arsen [322]1 year ago

5 0

We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

You might be interested in

2x + 3 = 4x^2<br> completing the square

ch4aika [34]

Answer:

$\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}$

Step-by-step explanation:

First, make them on one side of the formula in the form of $ax^2+bx+c=0$ which is $4x^{2} -2x-3=0$

Next, insert the corresponding number in the quadratic formula, $\frac{-b+\sqrt{b^{2}-4ac } }{2a} ,\frac{-b-\sqrt{b^{2}-4ac } }{2a}$ , and the answer can be calculated.

6 0

1 year ago

Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is

juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

6 0

2 years ago

What is the missing digit? LOTS OF POINTS!

RideAnS [48]

Answer:

The missing digits are 3 and 1.

Step-by-step explanation:

6+3÷3-1=2

9÷3-1=2

3-1=2

3 0

3 years ago

Read 2 more answers

Find x plss:))))))))

Galina-37 [17]

Answer:

180 - 90 = 90

half of 90 = 45

40 and 50??

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Multiply the additive inverse of (-7/8) by the reciprocal of (5 1/2)<br><br>PLEASE HELP!

EleoNora [17]

Answer:

$\bold {$\dfrac{7}{44}$}$

Step-by-step explanation:

<h3> Reciprocal:</h3>

$\sf \text{The reciprocal of any number $\dfrac{a}{b}$ is given by $\dfrac{b}{a}$}\\\\5\dfrac{1}{2}=\dfrac{11}{2}\\\\\text{Reciprocal of $\dfrac{11}{2}$ = $\dfrac{2}{11}$}$

<h3>Additive inverse:</h3>

$\text{Additive inverse of $\dfrac{-7}{8}$=$\dfrac{7}{8}$}$

Now multiply,

$\sf \dfrac{7}{8}*\dfrac{2}{11}=\dfrac{7}{4}*\dfrac{1}{11}\\$

$=\dfrac{7}{44}$

7 0

1 year ago