We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.
10/12, 7/12, 5/12 -- Check decreasing
3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases
6 5/7, 6 3/7, 5 2/7 - Check, decreasing
11 7/10, 11 6/10, 10 3/10 -- Check, decreasing
Answer: A,C,D
Answer:
6 elephants and 3 kangaroos in the zoo.
Step-by-step explanation:
Number of animals = 9
Number of legs seen = 30
But an elephant has 4 legs, while a kangaroo has 2 legs.
Let the number of elephant be represented by E, and the number of kangaroo by K.
So that,
E + K = 9 .................. 1
4E + 2K = 30 ............. 2
Multiply equation 1 by 2 to have
2E + 2K = 18 ............ 3
Subtract equation 3 from 1
2E = 12
E = 6
Substitute the value of E in equation 1
E + K = 9
6 + K = 9
k = 3
Thus, there were 6 elephants and 3 kangaroos in the zoo.
Formula: y = mx + b
m being the slope
Slope given: -2, plug it in
Y = -2x + b
Now find y intercept (b)
Plug in the point (5,-11)
-11 = -2(5) + b
-11 = -10 + b, b = -1
Solution: y = -2x -1