Answer:
5 1/4
Step-by-step explanation:
Subtracting a negative is the same as adding a positive.
2 3/8 - (-2 7/8) =
= 2 3/8 + 2 7/8
= 4 10/8
= 4 + 8/8 + 2/8
= 4 + 1 + 1/4
= 5 1/4
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
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:
27.5
Step-by-step explanation:
pythagorean theorem. a^2+b^2=c^2.
so 12^2+b^2=30^2
meaning 144+b^2=900
900-144=756
square root 756
b=27.5