All categories

3 years ago

(5x+2) and {3(x+14)} what is

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Answer:

Step-by-step explanation:

x=20

Reorder the terms:

(2 + 5x) = 3(x + 14)

Remove parenthesis around (2 + 5x)

2 + 5x = 3(x + 14)

Reorder the terms:

2 + 5x = 3(14 + x)

2 + 5x = (14 * 3 + x * 3)

2 + 5x = (42 + 3x)

Solving

2 + 5x = 42 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

2 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0

2 + 2x = 42 + 0

2 + 2x = 42

Add '-2' to each side of the equation.

2 + -2 + 2x = 42 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 42 + -2

2x = 42 + -2

Combine like terms: 42 + -2 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

You might be interested in

Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.

andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, given the points (-2,8) and (11,2), we can identify that:

$x_2=11\\x_1=-2\\\\y_2=2\\y_1=8$

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

$d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units$

7 0

3 years ago

What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

$n = 12$

$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

6 0

3 years ago

Please help due tonight !

Travka [436]

Answer: (14 , 15/2)

Step-by-step explanation:

...

8 0

2 years ago

Read 2 more answers

Determine the relationship between the two vecors

asambeis [7]

Answer:

Step-by-step explanation:

Since there exists a scalar

(namely

λ=a⋅b

) such that

b=λa

, the directions of the two vertices are the same (they are collinear). This implies that

|a⋅b|=|a||b|

So,

|a|=|(a⋅b)b|=|a||b||b|

which implies that

|b|=1

6 0

3 years ago

Solve for n 25/n = 5/8

Sveta_85 [38]

Answer:

n=40

Step-by-step explanation:

25/n=5/8

25/5=5

n/5=8

n=40

3 0

3 years ago

Read 2 more answers