Answer:
70
Step-by-step explanation:
To do this, we can set up an equation that models the situation.
1.5x=105
Now we divide both sides by 1.5 to find the original number.
x=70
Answer:
B.) 
Step-by-step explanation:
Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.
to get: 
.
now the denominators is the same on both sides, just subtract the numerator.
27 - 8 = 19
Now simply: 
.
Your final answer is 1\frac{7}{12}[/tex].
"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)
