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3 years ago

Value of x for 12(x-2)+3x=1/2(x+6)+2

Mathematics

1 answer:

Damm [24]3 years ago

4 0

Answer:

The value of x = 2

Step-by-step explanation:

Given the equation

$12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2$

Expand 12(x-2) = 12x - 24

Expand 1/2(x+6) = 1/2x + 3

so the equation becomes

$12x-24+3x=\frac{1}{2}x+3+2$

simplifying

$15x-24=\frac{1}{2}x+5$

$15x=\frac{1}{2}x+29$

multiplying both sides by 2

$30x = x + 58$

subtracting x from both sides

$30x - x = 58 - x$

$29x = 58$

divide both sides by 29

$\frac{29x}{29}=\frac{58}{29}$

simplifying

$x = 2$

Therefore, the value of x = 2

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The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the

vivado [14]

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

$p = 2w + 2l$

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width. We can express that as $w = 3l - 6$ .

We can plug that definition of w into the perimeter equation to find the length:

$p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8$

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

$p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18$

So the width is 18

7 0

3 years ago

The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain T

Anna [14]

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

The input is x, which is the number of minutes.

The output is f(x), which is the cost of playing the game for x minutes.

Talisa's expression is given by:

$f(x) = 12x$

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

$c = \frac{1}{12}$

And the correct expression for the cost is:

$f(x) = \frac{x}{12}$

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at brainly.com/question/24372153

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2 years ago

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1=0?

elixir [45]

Answer:

y=-2x+4

Step-by-step explanation:

2x+y-1=0

2x+y=0+1

2x+y=1

y=1-2x

y=-2x+1

y=mx+b where m=slope and b=y-intercept

parallel means same slope,

so the slope would still be -2.

--------------

y-y1=m(x-x1)

y-2=-2(x-1)

y=-2x+2+2

y=-2x+4

7 0

3 years ago

Find the standard equation for the circle having the given center and radius.

RoseWind [281]

$\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49$

7 0

2 years ago

4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second

uysha [10]

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only One 5 and One 2 on the spinner.

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16

~Lenvy~

5 0

2 years ago

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Value of x for 12(x-2)+3x=1/2(x+6)+2​

Value of x for 12(x-2)+3x=1/2(x+6)+2