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Lyrx [107]
3 years ago
5

Use the equation 1/2 (x - 4) = 1/3x + 2

Mathematics
2 answers:
Margarita [4]3 years ago
8 0

Answer:

Step-by-step explanation:

Multiply the whole equation by 6  (LCM  of 2 and 3)

1/2 (x - 4) = 1/3x + 2

6* 1/2 (x - 4) = 6* (1/3x + 2)

3 (x - 4) = 6* 1/3x + 6*2

3x - 12 = 2x + 12

3x -2x = 12 + 12

x = 24

Anon25 [30]3 years ago
5 0

Answer:

1/2(x-4)= 1/3x+2

6x1/2(x-4)=6x1/3x+2x6

3(x-4)=2x+12

3x-12=2x+12

3x-2x=12+12

x=24

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A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is
GaryK [48]

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

x+\frac{3}{5} y=\frac{17}{5}

Subtract \frac{3}{5} y from each side to single out one variable to one side

x=\frac{17}{5} -\frac{3}{5} y

Now, we can plug in our value for x into the given equation

2(\frac{17}{5} -\frac{3}{5} y)+12y=23

Open the parentheses

\frac{34}{5} -1\frac{1}{5} y+12y=23

Merge Y values

6.8+10.8y=23

Separate numerical values from variables

10.8y=16.2

Divide by 10.8 in order to have a coefficient of 1

y=1.5

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

5x+3(1.5)=17

Open parentheses

5x+4.5=17

Single out the variable

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3 0
2 years ago
Find all of the polar coordinates of point P if p=(1,-pi/6)
Mama L [17]

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

6 0
3 years ago
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aliya0001 [1]

Answer:

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Step-by-step explanation:

3 0
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Answer:

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Step-by-step explanation:

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now using equation;

y= mx+c

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o-na [289]

Answer: >14 I think

Explanation:

3 0
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