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Sveta_85 [38]
2 years ago
5

Which ordered pairs make the equation true? 3x+2y=−7 Select each correct answer. (3, −8)

Mathematics
1 answer:
Nikolay [14]2 years ago
5 0
<h2>SOLVING</h2>

\Large\maltese\underline{\textsf{A. What is Asked}}

Which ordered pairs make the equation \bf{3x+2y=-7} true? Select all that apply. 3 options are given

\Large\maltese\underline{\textsf{B. This problem has been solved!}}

We can tell which ordered pairs make equations true by plugging in the coordinates.

\mathbb{ORDERED\;PAIR\;NUMBER\;ONE}

\bf{3(3)+2(-8)=-7} | simplify

\bf{9-16=-7} |simplify

\bf{-7\equiv-7} | this one checks

\mathbb{ORDERED\;PAIR\;NUMBER\;TWO}

\bf{3(-2)+2(-1)=-7} | simplify

\bf{-6-2=-7} | simplify

\bf{-8\neq-7} | this one does <em>not </em>check

\mathbb{ORDERED\;PAIR\;NUMBER\;THREE}

\bf{3(1)+2(-4)=-7} | simplify

\bf{3-8=-7} | simplify

\bf{-5\ne-7} | this one does <em>not</em> check

\rule{300}{1.7}

\bf{Result:}

              \bf{=The\;First\;Option

\boxed{\bf{aesthetic \not101}}

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Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%
Alex787 [66]
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
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A) \frac{x(x+4)}{(2x+4)(2x+3)}
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C) 1/8 = 12.5%

Explanation
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The probability of choosing a red block first would be
\frac{x+4}{2x+4}
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be 
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This gives the total probability of 
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The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15.  Together this gives us
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