Answer: y=6n
Step-by-step explanation:
Answer:
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Answer:
3 tons = 6000 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds, so just multiply 2000 by 3 :)
Hope this helps!
Answer:
x = 45°
Step-by-step explanation:
From the triangle given in the picture,
It's given that two sides of the triangle are equal so the triangle is an isosceles triangle.
By the property of isosceles triangle,
Opposite angles of the equal sides are equal in measure.
By triangle sum theorem,
x + x + 90° = 180°
2x + 90 = 180
2x = 180 - 90
x = ![\frac{90}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B2%7D)
x = 45°
Direct proportion equations have the following form:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where "k" is the Constant of proportionality.
In this case you know that "y" is directly proportional to "x" and when:
![x=4;y=-2](https://tex.z-dn.net/?f=x%3D4%3By%3D-2)
Having these values, you can substitute them into the equation and solve for "k":
![\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-2%3Dk%284%29%20%5C%5C%20%5Cfrac%7B-2%7D%7B4%7D%3Dk%20%5C%5C%20k%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:
![y=-\frac{1}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx)
Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:
![\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-24%3D-%5Cfrac%7B1%7D%7B2%7Dx%20%5C%5C%20%28-24%29%28-2%29%3Dx%20%5C%5C%20x%3D48%20%5Cend%7Bgathered%7D)
Therefore, the answers are: