This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:
If I step on a beehive, then I will get stung.
If I get stung by a bee, then it will hurt.
Therefore, if I step on a beehive, then it will hurt
------------------
So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.
Answer:
The answer to your question is 43.8 mL of acid.
Step-by-step explanation:
Data
Total volume = 362 ml
12.1 % is acid
The Volume of acid = ?
Process
1.- Use the rule of three and cross multiplication to solve this problem.
362 ml ------------------- 100%
x ------------------- 12.1 %
x = (12.1 x 362) / 100
x = 4380.2 / 100
x = 43.802 ml
2.- Round your answer to the nearest tenth.
43.802 only consider the first decimal
43.8 mL
3.- Conclusion
A 12.1% solution of acid has 43.8 mL of acid.
Lets write the problem info into an equation and solve step by step:
7(1/3 + 4/5)
the minimum common multiple of 3 and 5 is 15, so we multiply and divide the fractions by a proper number to convert them to be divided by 15 so is easier to add them:
<span>(1/3)(5/5) = (1*5)/(3*5) = 5/15
(4/5)(3/3) = (4*3)/(5*3) = 12/15
</span>so we substitute in the original equation:
7(1/3 + 4/5<span>)
</span>= 7(5/15 + 12/15<span>)
= 7(17/15)
= (7*17)/15
= 119/15</span>
Answer:
Right of -7 and left of -1
Step-by-step explanation:
-7 is in the left and -4 is in the right
-7<4
-4 in the left and -1 in the right
-4<-1
just use directions
Given:
The function is:
To find:
The steps of finding the inverse function 
.
Solution:
We have,
The steps of finding the inverse function are:
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Taking square on both sides, we get
Step 4: Adding 21 on both sides, we get
Step 5: Divide both sides by 7.
Step 6: Substitute 
.
, where 
.
Therefore, the inverse of the given function is 
and the arrangement of steps is shown above.
