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3 years ago

2(x - 3) = 2x + 3 what is x

Mathematics

2 answers:

Margarita [4]3 years ago

6 0

Answer:

no solution

Step-by-step explanation:

2(x-3)=2x+3

2x-6=2x+3

-2x. -2x

-6=3

Advocard [28]3 years ago

6 0

Answer:

There is no solution.

Step-by-step explanation:

1) DIstribute 2(x - 3), you should receive 2x - 6.

2) Set 2x - 6 equal to 2x + 3, so (2x - 6 = 2x + 3).

3) Add 6 to both sides (inverse of -6), which cancels the negative 6 (-6) on the left out, and causes the positive 3 (+3) on the right side to become positive 9 (+9).

4) Subtract 2x from both sides (inverse of 2x), which causes both of the 2x's to cancel out.

5) The equation becomes 0 = 9 which is not correct, and false.

The result is that there is no solution to this equation.

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julsineya [31]

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3 years ago

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phoebe needs to use 3/4 cups of sugar to make one batch of cookies. how many batches can she make with 12 cups of sugar?

geniusboy [140]

Answer:

16 batches

Step-by-step explanation:

we can divide 12 by 3/4 or 0.75: 12/0.75 = 16

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2 years ago

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C. A parallelogram

Oxana [17]

If a parallelogram has an area of 7 square units, and the height corresponding to a base is $(\frac{1}{4})$ units, then the base is 28 units.

As per the question statement, a parallelogram has an area of 7 square units, and the height corresponding to a base is $(\frac{1}{4})$ units.

We are required to find out the base of the parallelogram.

To solve this question, we need to know the formula to calculate the area of a parallelogram, which goes as

Area of Parallelogram = (Base * Height)

Putting our data obtain from the question statement, in the above-mentioned formula, we can calculate the value of the base of our concerned parallelogram, i.e.,

$7=(base*\frac{1}{4})\\or, base=(7*4)\\or, base = 28$
Therefore, base of our concerned parallelogram is 28 units.

Parallelogram: In Euclidean geometry, a parallelogram is a four-sided, plane, closed figure (Quadrilateral) with two pairs of parallel, opposite sides.

To learn more about Parallelograms, click on the link below.

brainly.com/question/16052466

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7 0

1 year ago

Billy Jean is buying fabric. For the same material, Sew Right charges $4.00 per yard and an initial $5.00 convenience fee. Stitc

topjm [15]

For this problem, there are two situations. To solve this, let's construct an algebraic equation for each. Let's find the total cost. Let x be the number of yards.

Situation 1: Cost = 4x + 5
Situation 2: Cost = 6x +2

Now, both situations have the same cost. So,

4x + 5 = 6x + 2
6x - 4x = 5 - 2
2x = 3
<em>x = 3/2 or 1.5 yards</em>

7 0

3 years ago

A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

$T_1cos\theta_1-T_2cos\theta_2=0$ (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

$T_1sin\theta_1+T_2sin\theta_2-W=0$ (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

$T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2$

Then, you sum the equations:

$T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2$ (3)

Next, you use the following identity:

$sin^2\theta+cos^2\theta=1$

and you obtain in the equation (3):

$T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°$

With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0

3 years ago