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

Answers

Answer 1
Answer: 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:
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:
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
Answer 2
Answer: 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 

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Ellie has $30 in a savings account that earns 7% interest. How much will she have in total in 5 years? A.$10.50 B.$1050 C. $40.50 D. $32.50

Answers

Assuming simple interest.

Simple Interest =  PRT/100

Simple Interest  =  30 * 7 * 5 /100 =  10.50

Simple Interest = $10.50

Amount = Principal + Interest = $30 + $10.50 = $40.50

(C)

What percent of 1270 is 375?

Answers

\begin{array}{ccc}1270&-&100\%\n\n375&-&p\%\end{array}\n\ncross\ multiply\n\n1270\cdot p=375\cdot100\ \ \ /:1270\n\np=(37500)/(1270)\n\np=29(67)/(127)\n\nAnswer:29(67)/(127)\%\approx29.53\%
to find percentage, we multiply the ratio by 100

= 375/1270 x 100 
= 0.29527 x 100
= 29.527 %
 Thus percent will be 29.527%

What are the multiples of 12,7,5,18,14,8?? Please explain !!!

Answers

The first 15 multiples of 5, 7, 8, 12, 14, 18:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270

The multiples:
12: 12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228
7: 
7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147
5: 
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110
18: 
18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324
14: 
14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252
8: 
8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160

Hope this helps! :-)

-1/4 divided by 23/24= (A a fraction)

Answers

-6/23

when dividing by a fraction you flip it and multiply by the reciprocal, so you get -1/4 times 24/23

-1*24
4*23

which becomes -6/23

Charlie bought a 2and 1 half bag of oranges for $3.75.What is the cost of one pound of oranges?

Answers

Charlie buys 2.5 pounds of oranges for 3.75.

To find out how much he will pay for 1 pound of oranges, use the proportion

2.5/3.75 = 1/x
Cross multiply to get x = $1.50 per pound of oranges.
Let  number be "x"( the cost of one pound of oranges ) ;
( 2  1 / 2 )x = 3.75 ;
( 5 / 2 )x = 375 / 100 ;
x = ( 375 / 100 )
×( 2 / 5 ) ;
x = 750 / 100 ;
x = $7.50 ;


I don't know how to do order of operations with fractions ,exponents and whole numbers?

Answers

P
E
M
D
A
S

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

I believe you multiply the fraction to make it a number, and it depends with whole nembers if you're adding/ subtracting
If you haven't learned pemdas, it's a great way to remember things.
P: parentheses
E: exponents
MD: multiplication/division (either or)
AS: addition/subtraction (either or)
Meaning you solve in that order
Ex, (1+2/4)-5^2/2
First we do the parentheses so 1+2/4
And within that we do the division before the addition
1+1/2
Then add
3/2
So it's now 3/2+5^2/2
Next is exponents so 5^2=25
Then add 3/2 and 25/2 to get 28/2, which is simplified to 14

Hope I helped :)