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stepladder [879]
3 years ago
9

If 2=6 3=12 4=20 5=30 6=42 then 9=?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

2=6\\ \\ 2\cdot (2+1)=6\\ \\ 3=12\\ \\ 3\cdot (3+1)\cdot 12\\ \\ 4=20\\ \\ 4\cdot (4+1)=20\\ \\ 5=30\\ \\ 5\cdot (5+1)=30\\ \\ 6\cdot (6+1)=42\\ \\ x\cdot (x+1)={ x }^{ 2 }+x\\ \\ for\quad x=9\\ \\ 9\cdot (9+1)=\quad { 9 }^{ 2 }+9\quad =\quad 81+9\quad =\quad 90
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April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3
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Answer:

        Student                                                            Hours worked

             April.                                                                  7\frac{7}{8} \ hrs

        Debbie.                                                                   8\frac{1}{8}\ hrs

        Richard.                                                                   7\frac{19}{24}\ hrs

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = 5\frac{1}{4}\ hrs

5\frac{1}{4}\ hrs can be Rewritten as \frac{21}{4}\ hrs

Number of Hours Carl worked on Math project = \frac{21}{4}\ hrs

Number of Hours Sonia worked on Math project = 6\frac{1}{2}\ hrs

6\frac{1}{2}\ hrs can be rewritten as \frac{13}{2}\ hrs

Number of Hours Sonia worked on Math project = \frac{13}{2}\ hrs

Number of Hours Tony worked on Math project = 5\frac{2}{3}\ hrs

5\frac{2}{3}\ hrs can be rewritten as \frac{17}{3}\ hrs.

Number of Hours Tony worked on Math project = \frac{17}{3}\ hrs.

Now Given:

April worked 1\frac{1}{2} times as long on her math project as did Carl.

1\frac{1}{2}  can be Rewritten as \frac{3}{2}

Number of Hours April worked on math project = \frac{3}{2} \times Number of Hours Carl worked on Math project

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Also Given:

Debbie worked 1\frac{1}{4} times as long as Sonia.

1\frac{1}{4}  can be Rewritten as \frac{5}{4}.

Number of Hours Debbie worked on math project = \frac{5}{4} \times Number of Hours Sonia worked on Math project

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Richard worked 1\frac{3}{8} times as long as tony.

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             April.                                                                  7\frac{7}{8} \ hrs

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        Richard.                                                                   7\frac{19}{24}\ hrs

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