3 years ago

1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)

Mathematics

1 answer:

kompoz [17]3 years ago

5 0

Answer:

Explanation:

0.2(6x - 12) = 0.3(6 - 4x)

Simplify both sides of the equation

0.2(6x − 12) = 0.3(6 − 4x)

(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)

1.2x + −2.4 = 1.8 + −1.2x

1.2x − 2.4 = −1.2x + 1.8

Add 1.2x to both sides

1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x

2.4x − 2.4 = 1.8

Add 2.4 to both sides

2.4x − 2.4 + 2.4 = 1.8 + 2.4

2.4x = 4.2

Divide both sides by 2.4

2.4x / 2.4 = 4.2 / 2.4

x = 1.75

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3 years ago

Fifteen 2 inch nails weigh 35 grams. How many of these nails weigh 175 grams? Can you explain how to do this please thankyou so

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Solving:

1) Pass: Make the rule three (Directly proportional)

Two inch nails ______ grams (Weight)
15 ----------------------------35
n ----------------------------- 175

2) Pass: Multiply cross

$35*n = 15*175$

3) Pass: Simplify
$35*n = 15*175$
$35n = 2625$
$n = \frac{2625}{35}$
$\boxed{n = 75}$

Answer:
75 nails weigh 175 grams

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