Answer:
Joy definitely does have enough soup for 22 people.
Step-by-step explanation:
Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5
280ml  :
Lower Bound: 275ml turn it  to 0.275 L
Upper Bound: 6.75 L                           0.5÷2=0.25
6.5 Litters  : 
Lower Bound:6.25  L
6.75÷0.275=24.54 or 25  
6.25÷0.285=21.92 or 22
 
        
                    
             
        
        
        
How can I send you the drawn representation on number line ?
25)
z + 4 >= 2z
-z >= -4
z <= 4  (you flip the sign when you divide over negative number)
on number line:  from 4 to -infinity
you use normal arithmetic like equations
29)
-9 + 2a < 3a
-9 < a  (just one step done)
on number line from -9 to infinity
41 and 43 ? not in the page 
        
             
        
        
        
Step 1. You must write down/ underline all the numbers given in the problem. 
Step2. Identify all the unknown variable such as x, y, a, b [those are the most common ones].
Step 3 Identify what sign of operation your working with... It can be +,-,×,÷. 
Step 3 write down all your terms on the LHS of the equation.
Step 4. Equate all the constant on the RHS of the equation. If the constant was negative It would be positive and vic versa 
Step. Solve your problem
        
             
        
        
        
Answer:
x = 3, -1/2
Step-by-step explanation: 
Use the quadratic formula:  x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR 
6/-12 = -1/2
 
        
             
        
        
        
Answer:
The measure of ∠z   = 137°
Step-by-step explanation:
Here, angle 1  = 43°
To find : ∠z
Straight line Angle:  The angle which measures exactly 180° and is extended by a point on a straight line is called straight angle. 
 
According to the given figure:
   ∠1 + ∠z  = 180 °  (STRAIGHT LINE ANGLE)
or,   ∠z  = 180 ° - 43° = 137°
Hence, the measure of ∠z   = 137°.