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Levart [38]
3 years ago
13

Solve for c: 2(4c-7) is greater than or equal to 8(c-3)

Mathematics
1 answer:
loris [4]3 years ago
3 0

2(4c-7)\geq8(c-3)\ \ \ \ |\text{use distributive property}\\\\(2)(4c)-(2)(7)\geq(8)(c)-(8)(3)\\\\8c-14\geq8c-24\ \ \ \ |-8c\\\\-14\geq-24\ \ \ TRUE\\\\\text{therefore your answer is}\ x\in\mathbb{R}\ (all\ real\ numbers)

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2 years ago
The growth rate of nominal gdp between 1998 9063 <br> and 2018 20501 was
Alex73 [517]

Answer:

The nominal GDP growth rate between 1998 and 2018 was 126.20 percent.

Step-by-step explanation:

Given that in 1998 the country's GDP was $ 9,063 and in 2018 it was $ 20,501, to determine the nominal growth rate of the nation's GDP, the following calculation must be made:

9,063 = 100

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8 0
3 years ago
The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?
Stella [2.4K]

Answer:

\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}

Step-by-step explanation:

\star{ \sf{ \:  \: Length \: of \: a \: rectangle ( l )  = (2x - 5) }}

\star{ \sf{ \: Width \: of \:  a \: rectangle ( w ) = (3x + 4)}}

\star{ \sf{ \:  \: Perimeter \: of \: a \: rectangle =  ?}}

\boxed{ \bold{  \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}

\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}

\text{Step \: 1 : \: Collect \: like \: term}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\hookrightarrow{ \sf{2(2x  + 3x - 5 + 4)}}

\hookrightarrow{ \sf{2(5x - 5 + 4)}}

\text{Step \: 2  \: :  \: Subtract \: 4 \: from \: 5}

\text{Remember !\:  : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}

\hookrightarrow{ \sf{2(5x - 1)}}

\text{Step \: 3 \:  :  \: Distribute \: 2 \: through \: the \: parentheses}

\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}

\hookrightarrow{ \sf{10x - 2}}

\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}

\text{Hope \: I \: helped !}

\text{Best \: regards ! }

~\text{TheAnimeGirl}

5 0
3 years ago
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