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oksano4ka [1.4K]

2 years ago

12

How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.

1 answer:

Annette [7]2 years ago

5 0

The answer for the given equation is x = 3.5.

<u>Step-by-step explanation</u>:

Given, 2 / 3 (3x + 6) = 4x + 3

Step 1:

Rearranging the given equation by subtracting the right side of the equation to the left side.

2 / 3 (3x + 6) - 4x + 3 = 0

Step 2:

Taking out the like terms, the equation becomes

(2 / 3) $\times$ 3 (x + 2) - (4x - 3) = 0

⇒ 2 (x + 2) - (4x - 3) = 0

Step 3:

Solving the equation for the value of x,

⇒ 2x + 4 - 4x + 3 = 0

⇒ -2x + 7 = 0

⇒ -2x = -7

⇒ x = 7 / 2 = 3.5.

Hence the value of x = 3.5.

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What is the smallest positive degree angle measure equivalent to sin^-1 (0.391)?

natta225 [31]

Given:

The value is:

$\sin^{-1}(0.391)$

To find:

The smallest positive degree angle measure equivalent to $\sin^{-1}(0.391)$ .

Solution:

We have,

$\sin^{-1}(0.391)$

Using the scientific calculator, we get

$\sin^{-1}(0.391)=23.0167366398^\circ$

$\sin^{-1}(0.391)\approx 23^\circ$

Therefore, the smallest positive degree angle measure equivalent to $\sin^{-1}(0.391)$ is 23 degrees.

5 0

2 years ago

Read 2 more answers

Ayuda con mates por favor

QveST [7]

Answer:

a) $x = -1$ and $y = 5$ , b) $x = 2$ and $y = -1$ , c) $x = -2$ and $y = 1$ , d) $x = 2$ and $y = -9$ , e) $x = 2$ and $y = -2$ , f) $x = 2$ and $y = -1$ , g) $x = 2$ and $y = -1$ , h) $x = 1$ and $y = 2$ .

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) $2\cdot x + y = 3$ and $3\cdot x - y = -8$

$y = 3 - 2\cdot x$

$3\cdot x - 3 + 2\cdot x = -8$

$5\cdot x = -5$

$x = -1$

$y = 5$

b) $x - 2\cdot y = 4$ and $-x+3\cdot y = -5$

$x = 4 + 2\cdot y$

$-4-2\cdot y+3\cdot y = - 5$

$-4+y = -5$

$y = -1$

$x = 2$

c) $-2\cdot x + 5\cdot y = 9$ and $x - y = -3$

$x = y-3$

$-2\cdot y +6 +5\cdot y = 9$

$3\cdot y = 3$

$y = 1$

$x = -2$

d) $5\cdot x - 4\cdot y = 2$ and $3\cdot x + 2\cdot y = -12$

$3\cdot x + 2\cdot y = -12$

$6\cdot x + 4\cdot y = -24$

$4\cdot y = -6\cdot x -24$

$5\cdot x +6\cdot x +24 = 2$

$11\cdot x = -22$

$x = 2$

$y = -9$

e) $x + y = 0$ and $2\cdot x +3\cdot y = -2$

$y = -x$

$2\cdot x -3\cdot x = -2$

$-x = -2$

$x = 2$

$y = -2$

f) $3\cdot x + 5\cdot y = 1$ and $x + y = 1$

$y = 1 - x$

$3\cdot x + 5 - 5\cdot x = 1$

$-2\cdot x = -4$

$x = 2$

$y = -1$

g) $5\cdot x - 2\cdot y = 12$ and $4\cdot x + 3\cdot y = 5$

$x = \frac{12+2\cdot y}{5}$

$x = \frac{5-3\cdot y}{4}$

$\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}$

$4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)$

$48 + 8\cdot y = 25 - 15\cdot y$

$23\cdot y = -23$

$y = -1$

$x = 2$

h) $7\cdot x + 8\cdot y = 23$ and $3\cdot x + 2\cdot y = 7$

$3\cdot x + 2\cdot y = 7$

$12\cdot x + 8\cdot y = 28$

$8\cdot y = 28 - 12\cdot x$

$7\cdot x +28-12\cdot x = 23$

$-5\cdot x = -5$

$x = 1$

$y = 2$

8 0

3 years ago

Team infinite dimensions canoed 15 and 3/4 miles in 3 hours.What was their average rate of speed in miles per hour

Rom4ik [11]

5.25 Miles per hour!

5 0

3 years ago

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What is (43/7÷ x+32/9) ÷25/6=4/3

Fittoniya [83]

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

<h3>How to solve for x in the equation?</h3>

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

Read more about equations at:

brainly.com/question/2972832

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3 0

1 year ago

Simplify expressions 2y(y+3)+4y(y-1)

svlad2 [7]

Answer:

6y^2+2y

Step by step explanation:

2y*(y+3)+4y*(y-1)

Distribute 2y through the parentheses

2y^2+6y+4y*(y-1)

Distribute 4y through the parentheses

2y^2+6y+4y^2-4y

Collect like terms

6y^2+6y-4y

Collect like terms

6y^2+2y

Answer

6y^2+2y

6 0

1 year ago

Read 2 more answers