Answer:
<em>PT=30 units</em>
Step-by-step explanation:
Given that:
Line PQ which has a mid point at T.
 and
 and 

To find:
PT = ? in simplified terms.
Solution:
First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.
In other words:
If a point B is the mid point of line segment AC, then AB = BC.
Here, the point T is the midpoint of PQ.
i.e. PT = TQ

Putting value of  in PT above:
 in PT above:

 
        
             
        
        
        
To find a percentage of a number we multiply the percentage times the number and get the result, here we have the percentage and the result and need to find out which number it corresponds to, lets write an equation to do so and keep in mind that the percentage itself can be written in a different way:
225% = 225 out of 100 = 225/100
So we have this equation, where we call x the number we are looking for:
<span>(225%)(x) = 81
</span>(225/100)(x) = 81
so we solve for x:
225x = 81*100 = 8100
x = 8100/225
x = 36
The original number is 36, hence 225% of 36 is 81
        
             
        
        
        
Answer:
Emilio needs less than 1 stick of butter
Step-by-step explanation:
Emilio needs 1/2 stick of butter to make cornbread . He also needs 1/4 stick of butter to make apple muffins . Does Emilio need more than I stick of butter to make both recepes or less than 1 stick of butter ? How do you know?
Cornbread = 1/2 stick of butter
Apple muffins = 1/4 stick of butter
Total sticks of butter = cornbread + apple muffins
= 1/2 + 1/4
= (2+1) / 4
= 3/4 stick of butter
= 0.75 stick of butter
0.75 stick of butter is less than 1 stick of butter
Therefore, 
Emilio needs less than 1 stick of butter
 
        
             
        
        
        
Answer:
103.62
Step-by-step explanation:
If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.
In which case it would be 103.62. 
It is a 28.53 increase.
 
        
             
        
        
        
Answer:
cost of 1 tea= £1.08
cost of 1 coffee= £1.24
Step-by-step explanation:
Please see the attached picture for full solution