The correct answer is 9.64 square units
Explanation:
The area of a rectangular pool can be calculated simply by multiplying the length by the width. Moreover, this formula A = L × W can also be used to find any of the values if the two other values are known. For example, in this mathematical problem, the length and area are provided. The process to calculate the area is shown below:
A = L × W or A = L × W
12.5 × y (unknown value) = 120. 5 (area)
Move 12.5 to the other side of the equation and divide 120.5 into 12.5 as once you move a value to the other side of an equation the inverse operation should be used (12.5 multiplies y but if it is moved to the other side it needs to divide)
y = 120.5 ÷ 12.5
y = 9.64 square units
The width of the pool is 9.64 units, you can also prove this because 12.5 square units × 9.64 square units = 120.5 square units.
Attached solution in the pic.
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".