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Allisa [31]
3 years ago
11

The length of the rectangle is 19 less than 3 times the width. If the width of the rectangle is 9 cm, what would the length of t

he rectangle be?
Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0

Step-by-step explanation:

Given,

width = 9cm

so a/q length of the rectangle will be 19 - ( 9×3) = 19 - 27 = 8 cm

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pishuonlain [190]3 years ago
4 0

Answer: 8 cm

Step-by-step explanation:

Write out the equation described in the first sentence.

"Length is 19 less than..." means L = ... - 19

"Three times the width" means 3W

So, L = 3W - 19

Plug in value of W

L = 3(9) - 19 = 8 cm

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Nadya [2.5K]

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Step-by-step explanation:

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3 years ago
Multiply the additive inverse of (-7/8) by the reciprocal of (5 1/2)​<br><br>PLEASE HELP!
EleoNora [17]

Answer:

\bold {$\dfrac{7}{44}$}

Step-by-step explanation:

<h3> Reciprocal:</h3>

    \sf \text{The reciprocal of any number $\dfrac{a}{b}$ is given by $\dfrac{b}{a}$}\\\\5\dfrac{1}{2}=\dfrac{11}{2}\\\\\text{Reciprocal of $\dfrac{11}{2}$  = $\dfrac{2}{11}$}

<h3>Additive inverse:</h3>

 \text{Additive inverse of $\dfrac{-7}{8}$=$\dfrac{7}{8}$}

        Now multiply,

          \sf \dfrac{7}{8}*\dfrac{2}{11}=\dfrac{7}{4}*\dfrac{1}{11}\\

                      =\dfrac{7}{44}

7 0
2 years ago
The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p
Semmy [17]

Answer:

The probability is  P(\=  X  >  x ) = 0.78814

Step-by-step explanation:

From the question we are given that

     The population  mean is  \mu  =  149

     The standard deviation is  \sigma  =  14

     The random number    x  =  147.81

      The sample  size is  n  = 88

The probability that  the sample mean would be greater than P(\=  X  >  x ) =  P( \frac{ \= x   -  \mu   }{\sigma_{\= x} }  > \frac{ x - \mu  }{\sigma_{\= x} }  )

Generally the z- score of this normal distribution is mathematically represented as

       Z  =  \frac{ \=  x   -  \mu  }{\sigma_{\= x} }

Now

        \sigma_{\= x } =  \frac{\sigma }{\sqrt{n} }

substituting values

         \sigma_{\= x } =  \frac{14 }{\sqrt{88} }

         \sigma_{\= x } =  1.492

Which implies that

         P(\=  X  >  x ) =  P( Z  > \frac{ 147.81  - 149   }{ 1.492}  )

        P(\=  X  >  x ) =  P( Z  > -0.80  )

Now from the z-table  the  probability is  found to be

        P(\=  X  >  x ) = 0.78814

5 0
3 years ago
See attachment. Please give step by step solution. Thank you
Dmitry_Shevchenko [17]

Answer:

x=19

Step-by-step explanation:

cross multiply

(−3)(+5)(3+5)=(−3)(+5)⋅2−3

(−3)⋅3=(+5)⋅2

3(−3)=(+5)⋅2

=19

7 0
3 years ago
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