Answer:
yes
Step-by-step explanation:
Given
57 < 11x ← substitute x = 8
57 ← 88 ← True
Thus x = 8 is a solution to the inequality
Answer:
3 5 30 32
Step-by-step explanation:
The question in English is
The age of 4 members of a family adds up to 70. Mom is 6 times bigger than her son and 10 times bigger than her daughter. Dad is 2 years older than Mom. How old are each of the family members? Write the result in ascending order and separated by spaces
Let
x----> Mon's age
y----> Son's age
z----> Daughter's age
w---> Dad's age
we know that
x+y+z+w=70 -----> equation A
x=6y ----> y=x/6 -----> equation B
x=10z ----> z=x/10 -----> equation C
w=2+x -----> equation D
substitute equation B, C and D in equation A and solve for x
x+(x/6)+(x/10)+(2+x)=70
Multiply by 60 both sides
60x+10x+6x+120+60x=4,200
136x=4,200-120
x=4,080/136
x=30 years
Find the value of y
y=x/6 -----> y=30/6=5 years
Find the value of z
z=x/10 ----> z=30/10=3 years
Find the value of w
w=2+x ----> w=2+30=32 years
Write the result in ascending order and separated by spaces
3 5 30 32
so
Daughter Son Mon Dad
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