Pythagorean Theorem: A^2 + B^2 = C^2
<span>We know A and C, let's find B by doing it backwards </span>
<span>C^2 - A^2 = B^2 </span>
<span>4^2 - 7 (square root of 7 squared is just 7) = B^2 </span>
<span>16 - 7 = B^2 </span>
<span>9 = B^2 </span>
Answer:
1.25 * N
Step-by-step explanation:
We have to increase N by 25%.
The first thing is to say how the percentage works in these cases, N would be our 100% and the increase would be 25% in this case, therefore, the initial value must be added (that is, N, 100%) and to that if add 25% of the initial value (that is, + 25% N).
Thus:
100% * N + 25% * N = N * (100% + 25%)
N * (125%) = 1.25 * N
So to increase N is 25% it would be 1.25 * N
The unknown number is - 2.5
Let the number = n
The equation will be formed as follows;
- eight times a number plus two = 8n + 2
- Two times the quantity of eight times a number plus two = 2(8n + 2)
- two times the same number minus seven = 2n - 7
- three the quantity of two times the same number minus seven = 3(2n-7)
Our final equation becomes;
2(8n + 2) = 3(2n-7)
Simplify as follow, to determine the unknown number;
16n + 4 = 6n - 21
16n - 6n = -25
10n = -25
n = -2.5
Thus, the unknown number is - 2.5
Learn more here: brainly.com/question/13818690