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vodka [1.7K]
2 years ago
8

What is the reason for each step in the solution of the equation? 18−2x=4x

Mathematics
2 answers:
Gekata [30.6K]2 years ago
6 0
You want to get all the x's on one side of the equation so add 2x to both sides of the equation. 4x + 2x = 6x. now you want to get the x by itself so dived both sides of the equation by 6. 18 = 6x, 18/6 = x, x = 3 
Reika [66]2 years ago
3 0
In order to solve an equation for a certain variable, you should isolate that variable on one side of the equation and leave all the other terms on the other side on the equation.
The, you solve to get the value of the variable.

The equation we have here is:
<span>18−2x=4x
First, we need to isolate the terms containing the "x" on one side of the equation. To do this, we will add 2x to both sides of the equation:
</span><span>18−2x+2x=4x+2x
18 = 6x
Now, we need to get the value of the "x". To do this, we will simply divide both sides of the equation by 6:
18/6 = 6x/6
3 = x .............> This is the solution of the equation</span>
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Find the equation of the line shown.
kirza4 [7]

Answer:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

7 0
3 years ago
Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
Joseph has $32.40. he wants to buy several comic books that each cost 2.70. how many comic books can he buy?
Arte-miy333 [17]
Joseph can buy 12 comic books with $32.40.
8 0
3 years ago
7 more than 6 times a number is negative forty seven what us the number
romanna [79]

Answer:

The number is -9.

Step-by-step explanation:

If we let the number be x we have the equation 6x + 7 = -47.

6x + 7 - 7 = -47 - 7

6x = -54

x = 054/6

x = -9.


3 0
3 years ago
Assume the readings on thermometers are normally distributed with a mean of 0degreesc and a standard deviation of 1.00degreesc.
Tanzania [10]

Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1

The probability that randomly selected thermometer reads greater than 2.07 is

P(z > 2.07) = 1 -P(z < 2.07)

Using z score table to find probability below z=2.07

P(Z < 2.07) = 0.9808

P(z > 2.07) = 1- 0.9808

P(z > 2.07) = 0.0192

The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192

3 0
3 years ago
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