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victus00 [196]
3 years ago
5

Which is the solution to the equation: 1/3 (9x+2)=4+2/3 (6x+4)

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:

The answer is x= -6 !

Step-by-step explanation:

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia
omeli [17]
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

5 0
3 years ago
Read 2 more answers
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
rosijanka [135]

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

  • multiply top and bottom of 1/6 by 8 to get 8/48
  • multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

  • 14/2 = 7
  • 48/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

6 0
2 years ago
What is 19.6 divided by 7
Lemur [1.5K]
19 divided by 7 = 2.8
7 0
3 years ago
Item 56
masha68 [24]

Answer:

a 25 questions, 4 points   b 19 questions

Step-by-step explanation:

a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions

6 0
3 years ago
Read 2 more answers
What is the value of x? Enter your answer in the box. x =
Montano1993 [528]

Answer:

x=9

Step-by-step explanation:

We have two similar triangles because both lines are parallel, use proportions to solve:

\frac{72}{9} =\frac{56}{3x-20}\\8=\frac{56}{3x-20}\\8(3x-20)=56\\3x-20=7\\3x=27\\x=9

4 0
2 years ago
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