All categories

3 years ago

Need to solve this problem in steps 5(2x+6)=-4(-5-2x)+3x

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Answer:

Simplifying

5(2x + 6) = -4(-5 + -2x) + 3x

Reorder the terms:

5(6 + 2x) = -4(-5 + -2x) + 3x

(6 * 5 + 2x * 5) = -4(-5 + -2x) + 3x

(30 + 10x) = -4(-5 + -2x) + 3x

30 + 10x = (-5 * -4 + -2x * -4) + 3x

30 + 10x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x

30 + 10x = 20 + 11x

Solving

30 + 10x = 20 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.

30 + 10x + -11x = 20 + 11x + -11x

Combine like terms: 10x + -11x = -1x

30 + -1x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0

30 + -1x = 20 + 0

30 + -1x = 20

Add '-30' to each side of the equation.

30 + -30 + -1x = 20 + -30

Combine like terms: 30 + -30 = 0

0 + -1x = 20 + -30

-1x = 20 + -30

Combine like terms: 20 + -30 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

You might be interested in

Write the equation of the line that passes through the points (7,9) and

nevsk [136]

Step-by-step explanation:

9 = a7 + b

-2 = a9 + b

b = 9-7a and b = - 2-9a

9 - 7a = - 2-9a

2a = - 11

a = - 5.5

b = 9 - 5.5*7 = - 29.5

y = -5.5x - 29.5

5 0

3 years ago

Which type of transformation is shown in the graph

Liono4ka [1.6K]

Answer:

C. Translation

Step-by-step explanation:

This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.

Hope this helps!

All the love, Ya boi Fraser :)

4 0

3 years ago

Read 2 more answers

Divide 30 in ratio 4:2

castortr0y [4]

20 to 10 I think but not sure hope this helps

3 0

4 years ago

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At

Vika [28.1K]

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in $\frac{1}{3}$ of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is $y$ centimetres in $x$ number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = $\frac{y}{x}$

We are given that:

$y = 30\ cm\\x = \frac{1}{3}\ days$

Putting the values, we get:

$\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}$

7 0

3 years ago

Round 475 to the nearest hundred.

blagie [28]

As 7 is above 5 so we round up 4 to 5. So the answer is 500 bcos the place where the number 4 is, is the hundredth place.

8 0

4 years ago