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3 years ago

1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

-12 -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x -2.5x

-x = -16

change the signs and the answer is

<u />

<u>EXTRA STEP </u>

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

ioda3 years ago

3 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

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What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

- - - - - - -

<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

$\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }$

180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

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