Answer:
5/10 in simplist form is 1/2
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".
Seventy- two thousand three hundred twelve
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
I got:
<span>y′=(−y<span>e^−x</span>−e^y)/xe^y+e^x</span>
then plugged in x and y and got slope of (-5-e^5)
and ended with equation of y=(-5-e^5)x+5
I'm not sure with my solution though i hope this might help you.
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!