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KATRIN_1 [288]
3 years ago
14

Use the order of operations to simplify 4(3.5 - 1.5) - 1/2.

Mathematics
2 answers:
Musya8 [376]3 years ago
6 0

\huge \bf {Question}:—

\boxed{\bf \: 4(3.5 - 1.5) - 1/2}

\bf\huge Solution:—

\sf \longmapsto \: 4*(3.5-1.5)-1/2

\boxed{\bf \: Convert  \: 1/2  \: i  nto  \: Decimal:—}

\sf \longmapsto \: 4*(3.5-1.5)-0.5

\boxed{\bf \: Subtract  \: 3.5-1.5 :—\: (2 \: is \: the \: result)}

\sf \longmapsto \: 4*(2) - 0.5

\boxed{\bf Multiply \:  4   \: and \:  2:—(8 \: is \: the \: result)}

\sf \longmapsto8-0.5

\boxed{\bf \: Simply  \: Subtract:—}

\sf \longmapsto7.5

\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}

\sf\longmapsto 15/2

\boxed{\bf \: Mixed  \: Fraction:—}

\boxed{\sf\longmapsto 7 \dfrac{1}{2} }

________________________________

\boxed{\bf Solving \: in \: another \: way:—}

\sf \longmapsto4*2-1/2

\sf \longmapsto4*(2)-1/2

\sf \longmapsto8-1/2

\sf \longmapsto \: 15/2

\boxed{\bf \: Mixed  \: Fraction:—}

\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }

________________________________

\boxed{\bf \:   \: Answer \:  i  s  \: Option  \: B}

\boxed{\huge\sf \: (B) \:  \bf \:  7\dfrac{1}{2}}

kondor19780726 [428]3 years ago
4 0

\huge\textbf{Hey there!}

\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark

\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}

<h3>~\frak{\bf Amphitrite1040:)}</h3>
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Answer:

B

Step-by-step explanation:

1. Given mathematical statement

4x+3=x+5-2x

So,

\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}

2. Rewrite it as

4x+3=x-2x+5

So,

\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}

3. Combine like terms x and -2x:

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So,

\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}

4. Add x to both sides:

4x+3+x=-x+5+x\\ \\5x+3=5

So,

\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}

5. Subtract 3 from both sides:

5x+3-3=5-3\\ \\5x=2

So,

\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}

6. Divide both sides by 5:

x=\dfrac{2}{5}

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\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}

6 0
3 years ago
Read 2 more answers
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ivanzaharov [21]
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5x + -5x = 0
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Use y=-2 in one of the equations
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5x = 20
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So
Y= -2
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https://mathsmadeeasy.co.uk/gcse-maths-revision/simultaneous-equations-gcse-maths-revision/

Check this link out for more help!
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