Answer:

Step-by-step explanation:
Given

Required
Write the variables and constants on different sides

Add 2x to both sides


Add 5 to both sides



Hence, the equation is

Solving further [divide both sides by 5]

a + b + c = 30 ;
a = 6c ;
a = 2b ;
Then, c = a / 6 and b = a / 2 ;
a / 6 + a / 2 + a = 30 ;
a / 6 + 3a / 6 + 6a / 6 = 180 / 6 ;
10a = 180 ;
a = 18 ;
b = 9 ;
c = 3.
Good luck !
The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
<h3>What is pH value?</h3>
The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.
The pH value can be calculated with the following formula.
![\rm pH=log[H^{+}]](https://tex.z-dn.net/?f=%5Crm%20pH%3Dlog%5BH%5E%7B%2B%7D%5D)
Here, [H⁺] is the molar hydrogen ion concentration.
The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,
![\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M](https://tex.z-dn.net/?f=%5Crm%202.32%3Dlog%5BH%5E%7B%2B%7D%5D%5C%5C%5C%20%5BH%5E%7B%2B%7D%5D%3D4.79%5Ctimes10%5E%7B-3%7D%20%5Crm%20%5C%3B%20M)
Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
Learn more about the pH value here;
brainly.com/question/940314
Answer:3 * (n + 4) = 93
3n + 12 = 93
Subtract 12 to both sides:
3n = 81
Divide 3 to both sides:
n = 27
Step-by-step explanation:
Answer:
12 units
Step-by-step explanation:
Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...
CH : HG = 2 : 1 = CH : 6
Then CH = 2×6 = 12.
_____
Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...
CG² +GB² = BC²
CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1
This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.
(The triangle shown cannot exist.)