The length of the pencil would be 17. This could be easily found by using a^2 + b^2 = c^2. Please mark me brainliest it would be pretty cash money of you
<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:
x-intercept: 0,-1 . y-intercept: -1.5,0
Step-by-step explanation:
When given a point-slope equation y-y=m(x-x), the second x and y values mark a point in the line and the m value is the slope (rise over run). Just graph the line from there (in this case the slope would be 2 down and 3 to the right).
We will make use of the concept of prime factors for solving this question. The prime factors of 1517 are:
So, as can be clearly seen the Niagara Fall tour operator can either sell 37 tickets for $41 each or 41 tickets for $37 each.
Now, we know that we cannot reach $37 using just three bills. Thus, the only option left to us is $41 which can be broken down into three bills of $20,$20 and $1. This satisfies our condition.
Thus the cost of a ticket was $41 and 37 such tickets were sold.
Answer:
51 vreels
Step-by-step explanation:
Step 1: Given data
Ratio of gespils to vreels on the planet Joop: 6:14
Step 2: Calculate the number of gespils per 120 vreels
Elentine has 120 vreels on her rew farm. If there are 6 gespils every 14 vreels, the number of gespils is:
120 vreels × (6 gespils/14 vreels) ≈ 51 vreels
