Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>

<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
The answer is the 2nd one because you can only fold this object like this and no other way.
Answer:
A = 140
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 20
h = 14
Work:
A = 1/2bh
A = 1/2(20)(14)
A = 10(14)
A = 140
You would want to divide the 86 feet by the 8 artist so you would do..
86 feet / 8 artists = 10.75 feet per artist
For the second part 10.75 would fall between 10 and 11
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