Answer:
m >9 or m < -9
Step-by-step explanation:
-2|3m|+3<-51
Subtract 3 from each side
-2|3m|+3-3<-51-3
-2|3m|<-54
Divide each side by -2, remembering to flip the inequality
-2|3m|/ -2>-54/-2
|3m|> 27
To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality
3m >27 or 3m <-27
Divide by 3 on each side
3m/3 >27/3 or 3m/3 <-27/3
m >9 or m < -9
a)
Dimensions: 7.5m x 4.5m
Cost , x= $14.17/m^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 7.5m x 4.5m is $478.24.
b)
Dimensions: 17 yd. x 12 yd.
Cost, x= $25/yd^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.
Answer:
-7
Step-by-step explanation:
replace x by 3
-5^3+8
-15+8
=-7
Answer:
36%
Step-by-step explanation:
just subtract 64 from 100
100-64= 36
Answer:
Step-by-step explanation:
The diagonal gives you a 30°-60°-90° triangle. The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 60° angle is 12 ft.
The side opposite the 30° angle is 12/√3 ft
The side opposite the 90° angle is 2×12/√3 = 24/√3 = 24√3/3 = 8√3 ft
