Given:
The inequalities are:
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
For , the possible integer values are
...(i)
For , the possible integer values are
...(ii)
The common values of x in (i) and (ii) are
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
Answer:
m∡A = 100°
m∡B = 50°
m∡C = 30°
Step-by-step explanation:
let 'x' = m∡B; 50°
let '2x' = m∡A; 100°
let 'x-20' = m∡C; 30°
x + 2x + x - 20 = 180
4x - 20 = 180
4x = 200
x = 50
The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)
Hope this helped :)
Answer:
5 and two-thirds minus 3 and one-third
Step-by-step explanation:
