Answer:
Step-by-step explanation:
<u>As per question we have:</u>
- p > 0, q > 0
- 31p/8q ≤ 5 ⇒ 31p ≤ 40q
Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.
<u>So the minimum value of p + q is:</u>
Easily, you write the inverse of it without a minus
so if you were to find x^(-2) it would be (1/x)^2
The rest is all the same
Answer:
1) 3(12-1)
2) 33
Step-by-step explanation:
times means multiplication and difference of means subtraction
you do first because of the parenthesis 21-1 equals 11
and then multiply 11 by 3 which is 33
Answer:
Option B. 8 mi, 9 mi, 2 mi
Step-by-step explanation:
The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed
Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11
Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes
Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle
a 
7
because 4a + 7 - 7 35 - 7
equals 4a 28
and 4a/4 28/4
equals a 7
