4x + 6 < -6
subtract 6 from each side
4x < -12
divide by 4
x < -3
- 2/5 x-9 < 9/10
multiply each side by 10 to get rid of the fractions
10*(- 2/5 x-9) < 10*9/10
distribute
-4x -90 <9
add 90 to each side
-4x < 99
divide by -4 (which flips the inequality)
x> -99/4
x> -24 3/4
Answer:
Area of trapezoid:
12 + 6<-- your two bases of the trapezoid = 18
18 x 4 = 72, 72 divided by 2 = 36
now we multiply by 2 since there are 2 trapezoids:
36 x 2 = 72
Area of rectangle in front:
6 x 3 = 18
Area of the 2 rectangles on the sides:
5 x 3 = 15
(multiply by 2 since there are two rectangles on both sides)
15 x 2 = 30
Area of rectangle on the back:
12 x 3 = 36
Now lets add up all the areas:
72 + 18 + 30 + 36 = 156 in2 is your answer.
If there are eight students total, and five are boys, then the fraction would be 5/8.
5 students out of eight, are boys.
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The answer is -1152
Hope it helps!!