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3 years ago

Solve for x 2x - 1 - 1 = x - 3 - ( -5 + x )

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x−1−1=x−3−(−5+x)

2x−1−1=x−3+−1(−5+x)(Distribute the Negative Sign)

2x−1−1=x+−3+(−1)(−5)+−1x

2x−1−1=x+−3+5+−x

2x+−1+−1=x+−3+5+−x

(2x)+(−1+−1)=(x+−x)+(−3+5)(Combine Like Terms)

2x+−2=2

2x−2=2

Step 2: Add 2 to both sides.

2x−2+2=2+2

2x=4

Step 3: Divide both sides by 2.

x=2

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creativ13 [48]

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Aspherical balloon has a radius of 6 feet, hence the volume is:

$V = \frac{4\pi 6^3}{3} = 905$

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

$V(t) = 0.8(905) - 30t$

$V(t) = 724 - 30t$

It will be completely empty when:

$V(t) = 0$

$724 - 30t = 0$

$30t = 724$

$t = \frac{724}{30}$

$t = 24.1$

Rounding, it will take 24 hours for the balloon to become completely empty.

More can be learned about the volume of a sphere at brainly.com/question/25608353

7 0

2 years ago

You are at a restaurant and the check comes to a total of $63. If you want to leave an 18% tip, how much total money should you

astraxan [27]

Answer:

$$74.3$ <em>is the total amount.</em>

Step-by-step explanation:

The first step in this problem is to figure out how much of a tip was left. To find that out, you need to multiply the percentage by the total of the meal.

$63 * .18 = 11.34$

We know that 11.34 was how much of a tip that was left,

To figure out the total amount that was spent, you would add the total amount and the tip.

$63 + 11.34 = 74.34$

4 0

3 years ago

*The rectangle has a perimeter of 38 meters.

Scilla [17]

Answer:

Width of the rectangle = 7 meters

Length of the rectangle = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter of the rectangle = 38 meters

Width of the rectangle = w

Length of the rectangle = w + 5

Perimeter of a rectangle = 2(length + width)

38 = 2{(w + 5) + w}

38 = 2(w + 5 + w)

38 = 2(2w + 5)

38 = 4w + 10

38 - 10 = 4w

28 = 4w

w = 28/4

w = 7 meters

Width of the rectangle = w

= 7 meters

Length of the rectangle = w + 5

= 7 + 5

= 12 meters

8 0

3 years ago

If 20,x,y,z,25 are in AP .find the value of X,y,z.

Kamila [148]

Answers:

x = 21.25
y = 22.5
z = 23.75

=============================================================

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

x = 20+d
y = 20+2d
z = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

x = 20+d = 20+1.25 = 21.25
y = 20+2d = 20+2*1.25 = 22.5
z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.

5 0

3 years ago

Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora

zavuch27 [327]

Respuesta:

03:40 pm;

15: 40;

20 minutos antes de las 4 pm;

40 minutos después de las 3 pm

Explicación paso a paso:

20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:

Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm

Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40

Además, el tiempo se puede informar en palabras de la siguiente manera:

20 minutos antes de las 4 pm

También ;

40 minutos después de las 3 pm

7 0

3 years ago