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Valentin [98]
2 years ago
12

How do I solve 6/2 + 8/3

Mathematics
1 answer:
Xelga [282]2 years ago
7 0

Answer:

The solved given fractional expression is \frac{17}{3}

Therefore the given fractional expression becomes

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Step-by-step explanation:

Given fractional expression  is  \frac{6}{2}+\frac{8}{3}

To solve the given fractional expression as below :

\frac{6}{2}+\frac{8}{3}

=3+\frac{8}{3}

 =\frac{3\times 3+8}{3}

( here taking the term 3 as LCM )

=\frac{9+8}{3}  ( by adding the sums here )

=\frac{17}{3}

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Therefore the solved  given fractional expression  is  \frac{17}{3}

Therefore the  given  fractional  expression becomes  

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

The solved  given fractional expression  is  \frac{6}{2}+\frac{8}{3}=\frac{17}{3}

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Factor the following polynomial.<br> 98x3 – 18x
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Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

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now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

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The school's production of Romeo and Juliet began at 7:45 P.M. The first act lasted 1 hour and 35 minutes. The act was followed
Anika [276]
It should be 9:30 P.M.

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Select the solution to the graph from the following points. Select all that apply.
stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ m=\frac{1-0}{0--3}=\frac{1}{3}

- Substitute the value of m in the form of the equation

∴ y = \frac{1}{3} x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = \frac{1}{3} x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = \frac{1}{3} (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = \frac{1}{3} (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = \frac{1}{3} (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = \frac{1}{3} (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = \frac{1}{3} (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

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2 years ago
Forty students are In Science club. Of those 45% are girls. This percent increase 56% after new girls join the club. How many ne
stepan [7]
45% of 40 is 0.45×40=18 girls
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<span>x=10 girls joined</span>
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