Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)

Mathematics

2 answers:

erik [133]3 years ago

6 0

Answer:

-8x -4

Step-by-step explanation:

8 (-x -(1/2))

Distribute

-8*x + 8*-1/2

-8x -4

tresset_1 [31]3 years ago

3 0

Answer:

-8x-4 is the answer using distributive property.

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Calculate $1200 ÷ 415.00 = answer in weeks. Round your answer up to the nearest whole week.

Lisa [10]

Answer:

3 weeks

Step-by-step explanation:

$\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\$

$\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\$

$\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

$\mathrm{Subtract}\:830\:\mathrm{from}\:1200$

$\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks$