Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 6x + 1 = 3
- Subtract 1 on both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(1/3) + 1 = 3 - 2(1/3)
- Multiply: 4/3 + 1 = 3 - 2/3
- Add/Subtract: 7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
6/9 (2/3) and 2/3. Hope this helps you.
Answer:
-9 / 14
Step-by-step explanation:
Product means multiply
3/4 x -6/7 = -9 / 14
Answer:
8/1.50 = 128/x
Step-by-step explanation:
In this case, I put the amount of fruit drink over the cost!
8 ounces/$1.50
there are 128 ounces in a gallon and we want to find out the cost of a gallon, so we can put that as x!
128 ounces/x
There's your proportion! Hope this helps :)
5 + 0.33333...
<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>
<span>x = 0.33333... </span>
<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>
<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>
<span>Answer: </span>
<span>5 1/3 </span>
<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>
<span>1) Take the repeated part and put it over an equivalent number of nines. </span>
<span>Example: </span>
<span>0.57575757... = 57/99 </span>
<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>
<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>
<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
