Question

Solve for x PLS HELP NOW

Answer 1

Answer:

$x=70$

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define equation

$\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}$

Step 2: Solve for x

1. Cross-multiply:                    $0.35(x-10)=\frac{2}{3} x \cdot 0.45$
2. Distribute 0.35:                   $0.35x - 3.5=\frac{2}{3} x \cdot 0.45$
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:                   $\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}$
2. Multiply:                       $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}$
3. Subtract:                      $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}$
4. Evaluate:                     $0.0075=0.0075$

Answer 2

Answer:

70

Step-by-step 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.