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elena-s [515]
4 years ago
13

The factor tree below provides the factors of 18.

Mathematics
2 answers:
Romashka-Z-Leto [24]4 years ago
5 0
The prime factors of 18 are 2 times 3 times 3 or you can write it as 2 times 3 squared, this is because and 2 and 3 are both prime numbers
grin007 [14]4 years ago
4 0

Answer: it is (c)

i hope this helped :)

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In the expression 7³ - 4 · 3 +8, the first operation is? A. An Exponent B. Subtraction C. Multiplication D. Addition
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swat32

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4x - 12

Step-by-step explanation:

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Answer:

The answer is explained below

Step-by-step explanation:

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What is the value of x in the equation three-fourths (one-fourth x 8) minus (one-half x 2) = startfraction 3 over 8 endfraction
Oksi-84 [34.3K]

The value of x in the equation is x=-44.

The given equation is \frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}.

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

\frac{3x}{16}-\frac{x}{2}+\frac{3x}{8}=\frac{3}{2}-\frac{1}{4}-6+2

Further, simplify the above expression by taking L.C.M as

\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end

Then, multiply both sides with 4 and get

\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end

Furthermore, cross multiply both sides and get

x=-44

Hence, the value of x in the equation which is given \frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4} is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

#SPJ4

8 0
2 years ago
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