Question

Solve for x PLS HELP NOW

Answer 1

70

Explanation:

Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.

Answer 2

`x=70`

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

`(0.35)/((2)/(3)x ) =(0.45)/(x-10)`

Step 2: Solve for x

1. Cross-multiply:
   `0.35(x-10)=(2)/(3) x \cdot 0.45`
2. Distribute 0.35:
   `0.35x - 3.5=(2)/(3) x \cdot 0.45`
3. Multiply:
   `0.35x - 3.5=0.3x`
4. Isolate x term:
   `-3.5=-0.05x`
5. Isolate x:
   `70=x`
6. Rewrite:
   `x=70`

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute:
   `(0.35)/((2)/(3)(70) ) =(0.45)/(70-10)`
2. Multiply:
   `(0.35)/((140)/(3) ) =(0.45)/(70-10)`
3. Subtract:
   `(0.35)/((140)/(3) ) =(0.45)/(60)`
4. Evaluate:
   `0.0075=0.0075`