Step-by-step explanation:
£480 = 120% (after adding the 20% VAT).
we want to know how much 100% is.
he do we get from 120% to 100% ?
first the formal long way
£480 = 120%
1% = 120%/120 = 480/120 = £4
100% = 1% × 100 = 4×100 = £400
once you understand this mechanism, you can apply the direct shortcut :
£480 / 1.2 = £400
as a multiplication with 100/120 is the same as a division by 120/100, which is 1.2.
and what we did at the beginning in long form was nothing else than
£480 × 100/120 = 480 × 10/12 = 480 × 5/6 = £400
Answer:
(P+9s+21)/3
Step-by-step explanation:
hello :
P/3 + (3s + 7) = P/3 + 3(3s + 7)/3 = (P+9s+21)/3
Point-slope form of equation is: ![y - 7 = -15(x-1)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20-15%28x-1%29)
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,
![m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%20%5Cfrac%7B7-%28-8%29%7D%7B1-2%7D%5C%5C%3D%5Cfrac%7B7%2B8%7D%7B-1%7D%5C%5C%3D%5Cfrac%7B15%7D%7B-1%7D%5C%5C%3D%20-15)
Point-slope form is given by:
![y-y_1 = m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3D%20m%28x-x_1%29)
Putting the value of slope
![y-y_1 = -15(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3D%20-15%28x-x_1%29)
We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation
![y - 7 = -15(x-1)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20-15%28x-1%29)
Hence, point-slope form of equation is: ![y - 7 = -15(x-1)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20-15%28x-1%29)
Reducing and simplifying
![y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20-15%28x-1%29%5C%5Cy-7%20%3D%20-15x%2B15%5C%5Cy-7%2B7%20%3D-15x%2B15-7%5C%5Cy%20%3D%20-15x%2B8%5C%5C15x%2By%20%3D%208)
Keywords: Point-slope form, equation of line
Learn more about equation of line at:
#LearnwithBrainly
Answer is A, basically using the Pythagorean theorem but in a slightly different way, should still get you the same answer.
36= 2*2*3*3
27= 3*3*3
10= 2*5
LCM= 2*2*3*3*3*5
LCM= 540
Final answer: 540