Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.
Example:
4+5x=24
First you would subtract 4 or add the opposite of 4 from 24.
4+5x=24
+(-4) +(-4)
—————
5x=20
Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.
1/5*5x=20*1/5 (reciprocal)
X= 4
You would use the same steps in an inequality but end up with a different sign.
Answer:
I think it is a 160o Angle
Step-by-step explanation:
Answer:
2,5
Step-by-step explanation:
Infinitely many because if you take the top equation and multiply it by 2 you get the same equation. That means that any number you plug in for x is a solution
We know that the formula for the volume of a box is:
![V =lwh](https://tex.z-dn.net/?f=V%20%3Dlwh)
Where:
l = length
w = width
h = height
The formula of the surface area of a box is:
![SA=2(lw+lh+wh)](https://tex.z-dn.net/?f=SA%3D2%28lw%2Blh%2Bwh%29)
Based on the given we know the following:
![546cm^{3} =lwh](https://tex.z-dn.net/?f=546cm%5E%7B3%7D%20%3Dlwh)
and
![422cm^{2}=2(lw+lh+wh)](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28lw%2Blh%2Bwh%29)
If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:
![546=6*7*13](https://tex.z-dn.net/?f=546%3D6%2A7%2A13%20)
Let:
l = 6cm
w = 7cm
h = 13cm
Now let's try this on the surface area formula:
![422cm^{2}=2(lw+lh+wh)](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28lw%2Blh%2Bwh%29)
![422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28%286cm%2A7cm%29%2B%286cm%2A13cm%29%2B%287cm%2A13cm%29%29)
![422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%2842cm%5E%7B2%7D%2B79cm%5E%7B2%7D%2B91cm%5E%7B2%7D%29)
![422cm^{2}=2(211cm^{2})](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28211cm%5E%7B2%7D%29)
![422cm^{2}=422cm^{2}](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D422cm%5E%7B2%7D)
The answer is then:
l = 6cmw = 7cmh = 13cmAny order would be fine.