"two less than 3/2 of a number (x) is no more than 5 1/2"
3/2x-2</5 1/2 (</ means less than or equal to)
simplify
1.5x-2 </5.5
+2 both sides
1.5x</7.5
÷1.5 both sides
x</5
circle is closed
arrow is to the left
(1st number line )
"the sum of two times a number (x) and -2 is at least 8"
2x+-2>/8 (>/ means greater than or equal to)
2x-2>/8
+2 both sides
2x>/10
÷2 both sides
x>/5
circle is closed
arrow is to the right
(4th number line)
"seven subtracted from 4 times a number (x) is more than 13"
4x-7>13
+7 both sides
4x>20
÷4 both sides
x>5
circle is open
arrow is to the right
(2nd number line)
"four added to 3 times a number (x) is less than 19"
3x+4 <19
-4 both sides
3x <15
÷3 both sides
x <5
circle is open
arrow is to the right
(3rd number line)
Answer:
A = 125º
Step-by-step explanation:
Missing angle is the supplement of 157.5
180 - 157.5 = 22.5
----------------------------
Sum of angles in triangle is 180
22.5 + (-10x) + (-x + 20) = 180
Combine like terms
-11x + 42.5 = 180
Subtract 42.5 from both sides
-11x = 137.5
Divide both sides by -11
x = -12.5
---------------------------
A = -10(-12.5)
A = 125º
Answer:
B. 
Step-by-step explanation:
Total number of students surveyed = 420
Of which only 
prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
The number of students that prefer rap is 105
So the equation is .
