Answer:
x = 9
Step-by-step explanation:
2(x+5)=3x+1
Distributive Property
2x+10=3x+1
Subtract 2x from both sides
10=x+1
Subtract 1 from both sides
9=x
Correct form: x=9
Solve simultaneously:
<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:
Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15. (This is not the only way in which we can do this!!) We get
-90x + 48y = -312
90x +210y = 570
--------------------------
Add all 3 columns together. We end up with:
258y = 258, so y = 1. You can find x by subst. 1 for y in either of the given equations.
If you'd like more help, please be specific about what you want.
Answer:
Step-by-step explanation:
we know that
The area of a regular hexagon is the same that the area of 6 equilateral triangles
The area of 6 equilateral triangles applying the law of sines is equal to
![A=6[\frac{1}{2}b^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E2sin%2860%5Eo%29%5D)
where
b is the length side of the regular hexagon
we have
substitute
![A=6[\frac{1}{2}(10)^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%5E2sin%2860%5Eo%29%5D)
There are 1000 ml in 1 liter so
<u>1000ml</u> = <u>0.167ml</u>
1liter x
cross multiply to get 1000x = 0.167; divide both sides by 1000 to get 0.000167 liters
