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bixtya [17]
3 years ago
11

What is the solution to 3/(2x+1) = 9/3x?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

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1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money th
Bezzdna [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+  \text{Simple Interest}

In question (1):

Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times  8 \times 5)}{100}\\\\ \to  240

In point b:

\to amount = principle \ +\ simple \ interest

                 = 600 + 240 \\\\= 840

In question (2):

Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times  7.25 \times 6)}{100}\\\\ \to  5,415.75

In point b:

\to amount = principle \ +\ simple \ interest

                 = 12,450 + 5,415.75 \\\\= 17,865.75

The 3 question is incomplete, that's why it can't be solved.

7 0
2 years ago
(2x2 3+2)x(4x2 3-1/2)
Travka [436]

Answer:

85.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Rename as a mixed number in simplest form. 15 22/20
Semenov [28]
16 1/10
Because you have 15 and then for 22/20 it is a improper fraction so take 20 away from it to get 2/10 then add 1 to 15 for 16 and then simplify 2/20 to 1/10
8 0
2 years ago
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How many different groups of 3 movies can a person rent if there are 12 movies to choose from?
Norma-Jean [14]
If there are 12 movies and a person can rent three, then there are 220 different combinations they can be rented in.
3 0
3 years ago
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What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
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