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weeeeeb [17]
3 years ago
8

Roger's father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages an

d Ring Ring charges $8 for 200 text messages.
Mathematics
2 answers:
brilliants [131]3 years ago
6 0
Okay so what is the question
ArbitrLikvidat [17]3 years ago
6 0

Answer:

wheres the question

Step-by-step explanation:

You might be interested in
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
4 years ago
Jaden class is going on a field trip to the zoo .if each bus hold 9people and there are 12 student and 6 adults going.how many b
yKpoI14uk [10]

Answer:

2 buses

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a carnival game, there is a 45% probability of winning a prize. Which of the following is true.
JulsSmile [24]
Ok, here is what I got:
<span>9/20 is .45 so D is right for sure. C is also correct since the remaining % is 55 ( meaning the percent you won't win) this is also the same as A which is 11/20 or .55. again meaning that .55 is the probability that you won't win. I hope this helps!</span>
7 0
4 years ago
Read 2 more answers
6in height, 12in length, 4in width. What is the volume of the box?
sergejj [24]

Answer:

288in

Step-by-step explanation:

Multiply all numbers

Lengthxwidthxheight

3 0
3 years ago
Read 2 more answers
Find the 17th term of the arithmetic sequence -5, 1, 7, 13, ... *
xz_007 [3.2K]

Answer:

91

Step-by-step explanation:-5, 1, 7, 13

the common diference is : d = ( 13)-(7)=(7)-(1)=(1)-(-5)=6

the firt term is A1 = -5

the n-ieme term is : An = A1 +(n-1)d

An = -5+6(n-1)

An = 6n-11

the 17th term in the arithmetic sequence  is : A17 = 6(17)-11 =91

Read more on Brainly.com - brainly.com/question/15374982#readmore

7 0
4 years ago
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