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xenn [34]
1 year ago
9

Hours Worked D. Write an equation that could be used to find y, the number of dollars Mr. David earns for working x hours.

Mathematics
1 answer:
natulia [17]1 year ago
6 0

The equation that could be used to find the amount of dollars is y = 30x

Explanation:

To get he equation that could be used to find the number of dollars for working x hours, we will use the equation of line formula:

\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}

slope formula is given as:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}

To get the slope, we will pick any two points on the line:

\begin{gathered} u\sin g\text{ points (0, 0) and (3, 90)} \\ x_1=0,y_1=0,x_2=3,y_2\text{ = }90 \\ m\text{ = }\frac{90\text{ - 0}}{3-0} \\ m\text{ = 90/3 = 30} \end{gathered}

The y intercept is the value of y when x crosses the y axis.

The line starts from the origin as a result y = 0

Substitute the values:

\begin{gathered} y\text{ = 30x + 0} \\  \\ y\text{ = 30x} \end{gathered}

The equation that could be used to find the amount of dollars is y = 30x

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I'm doing a task which involves magic v's, a maths pattern which has the rule of having the same total on each side. For e.g.
iogann1982 [59]

Answer:

--1-- (of set 23456)

2   4

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5 2

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--8-- (of set 23456)

3   2

5 6

 4

--9-- (of set 23456)

3   5

6 4

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--10-- (of set 23456)

3   4

6 5

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--11-- (of set 23456)

4   5

3 2

 6

--12-- (of set 23456)

4   2

3 5

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--13-- (of set 23456)

4   6

5 3

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--14-- (of set 23456)

4   3

5 6

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--15-- (of set 23456)

5   4

2 3

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--16-- (of set 23456)

5   3

2 4

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--17-- (of set 23456)

5   6

3 2

 4

--18-- (of set 23456)

5   2

3 6

 4

--19-- (of set 23456)

5   6

4 3

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--20-- (of set 23456)

5   3

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6   5

2 3

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6   3

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3 4

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--1-- (of set 34567)

3   5

6 4

 7

--2-- (of set 34567)

3   4

6 5

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--3-- (of set 34567)

3   6

7 4

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--4-- (of set 34567)

3   4

7 6

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--5-- (of set 34567)

4   6

5 3

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--6-- (of set 34567)

4   3

5 6

 7

--7-- (of set 34567)

4   7

6 3

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--8-- (of set 34567)

4   3

6 7

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--9-- (of set 34567)

4   6

7 5

 3

--10-- (of set 34567)

4   5

7 6

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--11-- (of set 34567)

5   6

4 3

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--12-- (of set 34567)

5   3

4 6

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--13-- (of set 34567)

5   7

6 4

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--14-- (of set 34567)

5   4

6 7

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--15-- (of set 34567)

6   5

3 4

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--16-- (of set 34567)

6   4

3 5

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6   7

4 3

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6   3

4 7

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6   7

5 4

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Step-by-step explanation:

This javascript code is extremely brute-force, but it does the job:

function checkIfInSet(i, set) {

   return i.toString().split('').sort().join('') === set;

}

function checkIfMagic(s) {

   return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))

}

function printMagic(s) {

   console.log(`${s[0]}   ${s[4]}`);

   console.log(` ${s[1]} ${s[3]}`);

   console.log(`  ${s[2]}\n`);

}

function checkSet(set) {

   let counter = 1;

   for(let i=1; i<99999; i++) {

       if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {

           console.log(`--${counter++}-- (of set ${set})`);

           printMagic(i.toString());

       }

   }

}

checkSet('23456');

checkSet('34567');

6 0
3 years ago
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5 0
3 years ago
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Sloan [31]

Answer:

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So sample size should be atleast 315

8 0
3 years ago
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