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2 years ago

The function f(x) = 2x + 5 represents the amount of water in a bucket after x minutes. Which best interprets this function?

Mathematics

1 answer:

MAXImum [283]2 years ago

7 0

F(x) = 2x + 5

the bucket starts with 5 gallons of water and is being filled at a rate of 2 gallons per minute

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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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