$2x+12=\frac{1}{3}*\frac{7x}{3}+\frac{1}{3}*\frac{4}{3}\\\\2x+12=\frac{7x}{9}+\frac{4}{9}\\\\2x-\frac{7x}{9}=\frac{4}{9}-12\\\\\frac{2x*9}{1*9}-\frac{7x}{9}=\frac{4}{9}-\frac{12*9}{1*9}\\\\\frac{18x}{9}-\frac{7x}{9}=\frac{4}{9}-\frac{108}{9}\\\\\frac{18x-7x}{9}=\frac{4-108}{9}\\\\\frac{11x}{9}=\frac{-104}{9}\\\\\\x=\frac{-104*9}{11*9}=\frac{-104}{11}=-9\frac{5}{11}$

8 0

4 years ago

Solve for x. -x/3=2 x= -6 x= -1 x = 6

LenKa [72]

Answer:

x = -6

Step-by-step explanation:

Solve for x:

-x/3 = 2

Multiply both sides of -x/3 = 2 by -3:

(-3 (-x))/3 = -3×2

-3×(-1)/3 = (-3 (-1))/3:

(-3 (-1))/3 x = -3×2

(-3)/3 = (3 (-1))/3 = -1:

--1 x = -3×2

(-1)^2 = 1:

x = -3×2

-3×2 = -6:

Answer: x = -6

6 0

3 years ago

) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The

worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0

2 years ago

Jaime has a budget in which 1/4 of the money is for photocopying 3/7 of the money is for computer expenses and the rest of the m

Marat540 [252]

Let
x-------> Jaime budget
s------> fraction of Jaime budget for student tutors

we know that
x=(1/4)x+(3/7)x+s

3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
x=(1/4)x+(6/14)x+s
x=(7/14)x+s
s=x-(7/14)x
s=(7/14)x-------> (1/2)x------> half of the budget is for student tutors.

the answer is
half of the budget is for student tutors

6 0

3 years ago