Answer:
C. 56 is the correct answer, my bad.
Step-by-step explanation:
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = 
= 64
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = 
= 29
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64
)
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29
)
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
<u>Answer:</u>

<h3>
<u>Step-by-step explanation:</u></h3>
According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

<h3>
<u>Hence</u><u> </u><u>it </u><u>will</u><u> </u><u>cover</u><u> </u><u>30</u><u>0</u><u> </u><u>miles</u><u> </u><u>in</u><u> </u><u>5</u><u> </u><u>hours</u><u> </u><u>.</u></h3>
Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases