*use a 2 proof column to answer*

Solve for x PLS HELP NOW

Zepler [3.9K]

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

Cross-multiply: $0.35(x-10)=\frac{2}{3} x \cdot 0.45$
Distribute 0.35: $0.35x - 3.5=\frac{2}{3} x \cdot 0.45$
Multiply: $0.35x - 3.5=0.3x$
Isolate x term: $-3.5=-0.05x$
Isolate x: $70=x$
Rewrite: $x=70$

Step 3: Check

Plug in x to verify it's a solution.

Substitute: $\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}$
Multiply: $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}$
Subtract: $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}$
Evaluate: $0.0075=0.0075$

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3 years ago

Read 2 more answers

An after-school sewing club has 120 yards of fabric to divide equally among the members of the club. When two more students join

maksim [4K]

The number of members before the entry of two new participants was 6, because before they had 20 yards and after their entry each one had 15 yards.

<h3>How to calculate how many members there were?</h3>

To figure out how many members there were, we must try different numbers until we find which number matches the information. In this case, it can be affirmed that there were 6 members, that is to say that each one had 20 yards.