Answer:
4x + 12 = 8; 4x = -4; x = -1. Therefore the four consecutive odd integers are -1, 1, 3, 5.
Step-by-step explanation:
k - an integer
so:
2k+1 - an odd integer
2k+1+2 = 2k+3 - an odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - next consecutive odd integer
2k+5+2 = 2k+7 - the fourth consecutive odd integer
2k+1 + 2k+3 + 2k+5 + 2k+7 = 8
8k + 16 = 8
- 16 -16
8k = - 8
÷8 ÷8
k = -1
2k+1 = 2(-1) + 1 = -2 + 1 = -1
2k+3 = 2(-1) + 3 = -2 + 3 = 1
2k+5 = 2(-1) + 5 = -2 + 5 = 3
2k+7 = 2(-1) + 7 = -2 + 7 = 5
Check: -1+1+3+5 = 3+5 = 8
Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
=
×
←
multiply by the reciprocal
2
6
Multiply 6 by each number in the matrix:
24, -12, 6
42, 18, 0
The 3rd answer is the correct one.
Answer: The actual distance is 68 miles.
