Answer:
m = -18
Step-by-step explanation:
<u>Step 1:  Combine like terms</u>
-8 = -m + 2m + 10
-8 = m + 10
<u>Step 2:  Subtract 10 from both sides</u>
-8 - 10 = m + 10 - 10
-18 = m
Answer:  m = -18
 
        
             
        
        
        
Answer:
   AH = 1 or 4
   CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
   AH/BH = BH/CH
   AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
   AH·(5 -AH) = BH²
   AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
   AH² -5AH +4 = 0 . . . . in standard form
   (AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
the answer is 7.9
 
        
                    
             
        
        
        
So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105
        
                    
             
        
        
        
The total cost of the item at the value of $25 and a tax of 7% is $26.75
<h3>Total Cost </h3>
Given Data
We have the given expression to find the total cost which is
Total = c + 0.07c
Substituting our given data into the expression we have
Total = 25 + 0.07*25
Total = 25 + 1.75
Total = $26.75
Learn more about total cost here:
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