simplfy 2x-6 ( 3y- 4x)- 5y

Answer:

x = 6, PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Let this number be x:

1) Increase x by 30 = x + 30

2) Divide the result by 2 = [tex]\frac{x+30}{2}[/tex]

3) The number obtained is 3 times the original number =

[tex]\frac{x + 30}{2} = 3x[/tex]

[tex]{x + 30} = 6x[/tex]

[tex]30 = 5x[/tex]

[tex]x = \frac{30}{5}[/tex]

[tex]x = 6[/tex]

To convert mm to m, divide by 1000:

794/1000 = 0.794 m

1 day = 24 hours

1 hour = 3600 seconds

24 x 3600 = 86,400 seconds in a day

Answer:

Step-by-step explanation:

To convert 794mm into m

1000mm = 1m

794mm = xm

m = 794/1000

m = 0.794m

One day to secs is

= 84,400secs

Answer:

-216

Step-by-step explanation:

-6 x -6 =36

36 x -6 = -216

Answer:

-216

Step-by-step explanation:

Answer:

1/26 ; 1/26 ; 1/52

Step-by-step explanation:

Given the following :

A deck of 52 cards contains :

Red hearts, Red stars, black triangles, black circles

Each type of card is numbered from 1 - 13

Therefore,

Number of each type of card = 13, all numbered distinctly with digits between 1 - 13

Probability = (number of required outcomes / total number of possible outcomes)

If one card is drawn from the deck:

Probability of picking a red one :

This is either a red heart numbered 1 or a red red star numbered 1,

Therefore, Required outcomes = 2

Total possible outcomes = 52

P(a red one) = 2 / 52 = 1/26

B) A black three

This is either a black triangle numbered 1 or a black heart numbered 1,

Therefore, Required outcome = 2

Total possible outcomes = 52

P(a black three) = 2 / 52 = 1/26

C.) A six of hearts :

A hearts numbered six = 1

Therefore, Required outcome = 1

Total possible outcomes = 52

P(a black three) = 1 / 52 = 1/52

Answer:

A: =105

Step-by-step explanation:

Answer:15

Step-by-step explanation: We know L+B+E=53 books

Loryn=L

Enda=2L

Brian=L-7

L+2L+L-7=53

Then solve for L

Leaving you with L=15

Check

15+2(15)+(15-7)

15+30+8=53

no❤️   ,,,,,,,,,,,,,,,,,,,      

8 dimes 4 nickels

ur crazy bb why’d you even ask this question

Answer:

[tex] x = 2 [/tex]

Step-by-step explanation:

Figure B = 2½ the size of figure A

One side of figure B is given as 5, therefore, 5 = 2½ of x in figure A.

Thus, [tex] 5 = 2\frac{1}{2}*x [/tex]

Solve for x

[tex] 5 = \frac{5}{2}*x [/tex]

[tex] 5*2 = \frac{5x}{2}*2 [/tex]

[tex] 10 = 5x [/tex]

[tex] \frac{10}{5} = \frac{5x}{5} [/tex]

[tex] 2 = x [/tex]

[tex] x = 2 [/tex]

Answer:

16

Step-by-step explanation:

[tex]x2 + 10 \\ = 3 \times 2 + 10 \\ = 6 + 10 \\ = 16[/tex]

Answer:

16

Step-by-step explanation:

You plug 3 in for x and then you have (3)2+10 and 3 times 2 is 6 plus ten is 16

Answer:

7 hours

Step-by-step explanation:

810 - 180 = 630

630/ 90 = 7

Answer:

x = 7 h

Explanation:

First, we write the data of the problem.

Alex travels 810 miles away

Train - 90 miles / h

Alex covers 180 miles.

How many hours does Alex walk in the distance?

1. Calculate the distance Alex still has to travel.

 810 miles - 180 miles = 630 miles

2. We take into account the speed of the train to calculate how many hours Alex will cover the remaining distance.

90 miles .... 1 h

630 miles .... x h

x = 630 milesx1h / 90 miles

x = 7 h

Answer:

  5 years

Step-by-step explanation:

Simple interest on a loan of P for t years at rate r per year is ...

  I = Prt

  4800 = 12,000(0.08)(t)

  4800/960 = t = 5

It will take Joel 5 years to pay off the loan.

Answer:

x=4 and y=3

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Left side = 2 cos^2 ( π/4 - A/2) - 1

= 2 ( cos π/4  cos A/2 + sin π/4  sin A/2)^2 - 1

Now sin π/4 and cos π/4 = 1 /√2 so:

= 2 ( 1/√2 cos A/2 + 1/√2 sin A/2)^2 - 1

= 2  * 1/2( cos^2 A/2 + sin^2 A/2 + 2 sin A/2 cos A/2) - 1

But cos^2 a/2 + sin^2 A/2 = 1 so we have:

2 * 1/2( 1 +  2sin A/2 cos A/2) - 1

= 1  + 2 sin A/2 cos A/2 - 1

=  2 sin A/2 cos A/2

Using the identity 2 sin A cos A = sin 2A

2 sin A/2 cos A/2 = sin A  = right side.

So left side = right side and the identity is proved.

Answer:  see proof below

Step-by-step explanation:

Use the Double Angle Identity:  cos 2A = 2cos²A - 1

Use the Difference Identity:  cos (A - B) = cosA · cosB + sinA · sinB

Use the Unit Circle to evaluate:  cos (π/2) = 0   &     sin (π/2) = 1

Proof  LHS → RHS

[tex]\text{Given:}\qquad \qquad \qquad \qquad 2\cos^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)-1\\\\\\\text{Double Angle Identity:}\quad \cos2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \quad \cos\bigg(\dfrac{\pi}{2}-A\bigg)\\\\\\\text{Difference Identity:}\qquad \cos\dfrac{\pi}{2}\cdot \cos A+\sin \dfrac{\pi}{2}\cdot \sin A\\\\\\\text{Unit Circle:}\qquad \qquad \qquad 0\cdot \cos A+1\cdot \sin A\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \sin A[/tex]

LHS = RHS:   sin A = sin A   [tex]\checkmark[/tex]

Answer: (1,-1/2)

Step-by-step explanation:

Point C on the coordinate plane has the coordinates (4,-2) after a dilation with a scale factor of 1/4 we will have to multiply the coordinates each by 1/4 to find the new coordinates.

So x =  4 * 1/4 = 1   Now the new x coordinate is 1  

-2 * 1/4 =  -2/4 = -1/2      Now the new coordinate for y is also -1/2

So we will now have the coordinates (1,-1/2)

Answer:

b + 18 = 7

77 = 7b

9 = b - 2

Answer:

13.48

Step-by-step explanation:

Step-by-step explanation:

g(x) = y = 8 - 2x

(A) First transform the function in terms of x :

x = y - 8 / 2

(B) Replace x with y :

[tex] {g}^{ - 1} (x) = y = \frac{x}{2} - 4[/tex]

Answer:

28 cm

Step-by-step explanation:

vertical side of each parallelogram is (y-6)/2 cm

perpendicular height of each parallelogram is 7 cm

Total area = 4sh

308 = 14(y-6)

y-6 = 22

y = 28 cm

BRAINLIEST PLS

Answer:

12

Step-by-step explanation:

There are 6 outcomes for the cube and 2 outcomes for the coin

6*2 = 12

There are 12 different outcomes total

Answer:

0.34 ends in the hundredths place. so the fraction will be over one hundred

34/100 -- simplify this by dividing each side by 2: 17/50

0.252525... is a repeating decimal

set up an equation so the numbers to the right of the decimal place are the same

100x = 25.2525...

x = 0.2525...

subtract

99x = 25

divide

x = 25/99

5.7777... is also a repeating decimal

set up an equation so the numbers to the right of the decimal place are the same

10x = 57.777...

x = 5.777...

subtract

9x = 52

x = 52/9

Answer:

The SQ Root of 493

Step-by-step explanation:

Becaues this triangle is a right triangle, we can find the missing side usiing the pythagorean theorum.

The pythagorean theorun states A^2 + B^2 = C^2, so 18^2 + 13^2= 439

Then all you have to do is find the sq root of 439, but this question askes you not to.

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

Answer:

A.   x = 5

Step-by-step explanation:

2 + 8x = 11x - 13   -------- subtract 2 from both sides

2 + 8x - 2 = 11x - 13 - 2

8x = 11x - 15         -------- subtract 11x from both sides

8x - 11x = 11x - 15 - 11x

-3x = -15

x = -15 / -3

x = 5

Answer:

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rationalization.  

                                                                              2 + i

For example:  " rationalize the denominator of ---------  "

                                                                               -3 + i

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

[tex]\tan 27^{\circ} = \frac{h}{1500\,m-x}[/tex]

[tex]0,510 = \frac{h}{1500\,m-x}[/tex]

Ciudad B

[tex]\tan 36^{\circ} = \frac{h}{x}[/tex]

[tex]0,727 = \frac{h}{x}[/tex]

Donde [tex]h[/tex] y [tex]x[/tex] son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

[tex]0,727\cdot x = 0,510\cdot (1500\,m-x)[/tex]

[tex]1,237\cdot x = 765\,m[/tex]

[tex]x = 618,432\,m[/tex]

Finalmente, la altura del globo con respecto al suelo es:

[tex]h = 0,727\cdot x[/tex]

[tex]h = 0,727\cdot (618,432\,m)[/tex]

[tex]h = 449,600\,m[/tex]

La altura del globo con respecto al suelo es 449,6 metros.

Answer:

178

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement to 2

2+x = 180

Subtract 2 from each side

2+x-2 = 180-2

x = 178

Answer:

Rational numbers: fractions with an integer numerator and a nonzero integer denominator.

Irrational numbers: numbers that are not rational such as π, root 3, and any non repeating, non ending decimal.

Answer:

3

Step-by-step explanation: