Find the measure of x. (to the nearest tenth)

X=? Find x And explain plz

dimulka [17.4K]

<h2>Answer: (x = 1)</h2>

Step-by-step explanation:

We are given the equation 6(5x - 3) = 1/3(24x + 12), and we must find the value of x.

The first step is to distribute. Distribute the 6 to 5x and -3, and distribute 1/3 to 24x and 12. This give us the equation 30x - 18 = 8x + 4 to work with.

The next step is to get x by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the -18 and get's x by itself on one side of the equation and gives us the equation 30x = 8x +22.

Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation 22x = 22.

Divide both sides by 22 and get the equation x = 1

$6(5x - 3) = \frac{1}{3} (24x + 12)$

$6(5x) - 6(3)=\frac{1}{3} (24x)+\frac{1}{3}(12)$

$30x - 18 = 8x + 4$

$30x = 8x +22$

$22x = 22$

$x = 1$

Hope that this helps and clears it up! Have a great day!

6 0

3 years ago

Please help me please

Nezavi [6.7K]

Answer:0uigygut68 y o ro

Step-by-step explanation:

5 0

3 years ago

The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

A pipe is leaking at 1.5 cups per day. about how many gallons per week is the pipe leaking

Alenkinab [10]

Remember that there are 16 cups in a gallon.

The pipe leaks 1.5 cups each day, so in one week, or 7 days, the cup leaks 1.5 times 7 cups, which equates to 10.5 cups per week.
To find this number in gallons, divide 10.5 by 16.
This equals .65625 gallons per week.
Hope this helps!
~Chrys

8 0

3 years ago

PLEASE HELP ME SOLVE

kirill115 [55]

The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

In the question ,

it is given that

the time taken to vacate the stadium = 20 minutes

number of exits = 25 exits

capacity of the stadium = 25000 spectators .

given that ,

time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .

time taken ∝ number of spectators ∝ 1/number of exits .

to remove the proportionality sign , we write the constant

time taken = k * (number of spectators)/(number of exits) .

20 = k * 25000/25

20 = k * 1000

k = 20/1000

k = 2/100

k = 1/50 = 0.02

So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula

time taken = (0.02)*(21000/15)

= 0.02*1400

= 28

Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

Learn more about Equation here

brainly.com/question/23633125

#SPJ1

5 0

1 year ago