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astraxan [27]
2 years ago
5

Solve for x ((x + 3)/4) + (((2x - 12) - 1)/3) = 1

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

x=5

Step-by-step explanation:

((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\

Now we have to cross multiply the denominator to progress further.

\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5

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777dan777 [17]

Answer:11

It is 11 because the lines beside the numbers represent ABSOLUTE VALUE. Absolute value basically means that wether or not it is a positive or negative number it will always be positive. Simplify-6+5=11

7 0
3 years ago
When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?
Pachacha [2.7K]

Answer:   \bold{\dfrac{11}{18}}

<u>Step-by-step explanation:</u>

Think of the products row by row:

11  12  13  14  15  16  - 0 products greater than 6

21 22 23 24 25 26  - 3 products greater than 6

31 32 33 34 35 36  - 4 products greater than 6

41 42 43 44 45 46   - 5 products greater than 6

51 52 53 54 55 56  - 5 products greater than 6

61 62 63 64 65 66  - 5 products greater than 6

\dfrac{\text{number greater than 6}}{\text{total possible outcomes}}=\dfrac{22}{36}=\dfrac{11}{18}\ when\ reduced

8 0
3 years ago
Read 2 more answers
Scott is using a 12 foot ramp to help load furniture into the back of a moving truck if the back of the truck is 3.5 feet from t
Elena-2011 [213]

Answer:

square root of 156.25

that's it

4 0
3 years ago
It’s late work and I’ve forgotten how to do it
Veseljchak [2.6K]
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable.  You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation.  If the x coefficient is 2, then you have to multiply the entire other equation by -2.  If the y coefficient is -5, then you have to multiply the entire other equation by 5.


10)
-4x + 9y= 9
x - 3y= -6

STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24

STEP 2:
add the top equation and the equation from step 2

-4x + 9y= 9
4x - 12y= -24
the x term cancels out

-3y= 15
divide both sides by -3

y= -5

STEP 2:
substitute the y value in either original equation to solve for x

x - 3y= -6
x - 3(-5)= -6

x + 15= -6
subtract 15 from both sides

x= -21

ANSWER: x= -21; y= -5
____________________

12)
-7x + y= -19
-2x + 3y= -19

STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x

-3(-7x + y)= -3(-19)
21x - 3y= 57

STEP 2:
add the bottom equation and the equation from step 2 to solve for x

-2x + 3y= -19
21x - 3y= 57
the y term cancels out

19x= 38
divide both sides by 19

x= 2

STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation

-7x + y= -19
-7(2) + y= -19

-14 + y= -19
add 14 to both sides

y= -5

ANSWER: x= 2; y=-5

Hope this helps!  :)

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3 years ago
What does the graph tell you about the value of a in this function f(x)=a(x+k)^1/n+c
Olenka [21]
A. a is greater than zero
7 0
4 years ago
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