If no repeats, there are 8×7×6×5×4×3×2×1=40320.
Answer:
Roger needs to sell 16 pairs of shoes.
Step-by-step explanation:
Given : Roger gets $40 per day as wages and $4.50 as a commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
To find : Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal ?
Solution :
Let the number of pairs of shoes be p.
$4.50 as a commission for every pair of shoes he sells in a day i.e. 4.5p.
According to question,

i.e. the daily earning goal is equal to the wage per day plus the number of shoes multiplied by the commission for each pair.
Solving the equation,




Therefore, Roger needs to sell 16 pairs of shoes.
Answer:
The constant of proportionality is 5
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Step-by-step explanation:
Given
--- Cost
--- Number of shirts
Required
Determine the constant of proportionality
The relationship between y and x is:

Where:
k = constant of proportionality
Substitute
and 


Divide both sides by 6




<em>The constant of proportionality is 5</em>
<span>1. Use a straightedge to draw line a and label a point on the line as point P.
2. Construct a line perpendicular to line a through point P.
3. Label a point on this line as point R.
4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PRâ†â†’ .
5. Label the points of intersection as points S and T.
6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of â SPT to intersect the previously drawn arc.
7. Label the point of intersection as point Q.
8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of â SPT .
9. Use the straightedge to draw QSÂŻÂŻÂŻÂŻÂŻ and QTÂŻÂŻÂŻÂŻÂŻ.</span>