Rewrite in simplest terms: 0.1(4v-10 w)-4w-0.3(-9w+4v) Answer:

Distribute 0.1 into terms: First, distribute 0.1 into the terms inside the first set of parentheses: 0.1 * 4v and 0.1 * -10w. 0.1 * 4v = 0.4v 0.1 * -10w = -1w So, the expression becomes 0.4v - 1w - 4w.Distribute -0.3 into terms: Next, distribute -0.3 into the terms inside the second set of parentheses: -0.3 * -9w and -0.3 * 4v. -0.3 * -9w = 2.7w -0.3 * 4v = -1.2v Now, add these to the expression: 0.4v - 1w - 4w + 2.7w - 1.2v.Combine like terms: Combine like terms: 0.4v with -1.2v and -1w with -4w and then with 2.7w. 0.4v - 1.2v = -0.8v -1w - 4w = -5w -5w + 2.7w = -2.3w Now, the expression is -0.8v - 2.3w.

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Rewrite in simplest terms:
0.1(4v-10 w)-4w-0.3(-9w+4v)
Answer:

Rewrite in simplest terms: $0.1(4 v-10 w)-4 w-0.3(-9 w+4 v)$ $\newline$ Answer:

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Algebra 2

Evaluate rational expressions II

Full solution

Q. Rewrite in simplest terms:

0.1(4 v-10 w)-4 w-0.3(-9 w+4 v)

\newline

Answer:

Distribute $0$ . $1$ into terms: First, distribute $0.1$ into the terms inside the first set of parentheses: $0.1 \times 4v$ and $0.1 \times -10w$ . $\newline$ $0.1 \times 4v = 0.4v$ $\newline$ $0.1 \times -10w = -1w$ $\newline$ So, the expression becomes $0.4v - 1w - 4w$ .
Distribute $-0.3$ into terms: Next, distribute $-0.3$ into the terms inside the second set of parentheses: $-0.3 \times -9w$ and $-0.3 \times 4v$ .
$-0.3 \times -9w = 2.7w$
$-0.3 \times 4v = -1.2v$
Now, add these to the expression: $0.4v - 1w - 4w + 2.7w - 1.2v$ .
Combine like terms: Combine like terms: $0.4v$ with $-1.2v$ and $-1w$ with $-4w$ and then with $2.7w$ . $\newline$ $0.4v - 1.2v = -0.8v$ $\newline$ $-1w - 4w = -5w$ $\newline$ $-5w + 2.7w = -2.3w$ $\newline$ Now, the expression is $-0.8v - 2.3w$ .