Answer:
|x − 3| = 2
Step-by-step explanation:
The difference between his maximum time and his average time is +2 hours.
x − 3 = 2
The difference between his minimum time and his average time is -2 hours.
x − 3 = -2
Using absolute values:
|x − 3| = 2
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer: 1 pigeon is $320
1 love bird is $80
Step-by-step explanation:
Let the cost for 1 love bird be represented by x
Let the cost for 1 pigeon be represented by y.
Since John bought 8 birds and 6 pigeons for $2400. This will be:
8x + 6y = 2400 ...... i
If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:
6x + 7y = 2600 ...... ii
8x + 6y = 2400 ...... i
6x + 7y = 2600 ...... ii
Multiply equation i by 6
Multiply equation ii by 8
48x + 36y = 14400 ...... iii
48x + 56y = 20800 ...... iv
Subtract iii from iv
20y = 6400
y = 6400/20
y = 320
1 pigeon is $320
From equation i
8x + 6y = 2400
8x + 6(320) = 2400
8x + 1920 = 2400
8x = 2400 - 1920
8x = 480
x = 480/8
x = 60
1 love bird is $80
- Given equation:- -7x-2= 0
- Equation:- The act or process of equating two or more things, or the state of those things being equal
★ Now Let's solve given equation :-
Hope it helps!
