She started with 32 pieces.
Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.
        
             
        
        
        
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em> <em></em>
<em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then 

Substitute y + 2 for x in  <em></em>
<em></em>
<em></em> <em></em>
<em></em>
<em></em>
Collect Like Terms
<em></em> <em></em>
<em></em>
<em></em> <em></em>
<em></em>
Divide both sides by 6



Substitute 15 for y in 


<em>Hence; the two odd numbers are 15 and 17</em>
 
        
             
        
        
        
Always true because addition and subtraction is commutative
-6.2-(-3.96) = -2.24
-3.96-(-6.2)= -2.24
5.71+2.84=8.55
2.84+5.71=8.55  
Hope this helped :)
        
             
        
        
        
9514 1404 393
Answer:
Step-by-step explanation:
The ratios all have ...
   first number : second number = 1 : 4
Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)
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You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.
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Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis. 
Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.