10% of $20 is $2 (take off the end 0)
$20+10%=?
$20+$2[this is 10%]=$22
The selling price is $22
Answer:
![x=0.25\,,\,y=1.75\,,\,z=0.25](https://tex.z-dn.net/?f=x%3D0.25%5C%2C%2C%5C%2Cy%3D1.75%5C%2C%2C%5C%2Cz%3D0.25)
Step-by-step explanation:
Let
denotes number of pencils, markers, erasers respectively.
For Andrea:
![6x+7y+8z=15.75\,\,\,(i)](https://tex.z-dn.net/?f=6x%2B7y%2B8z%3D15.75%5C%2C%5C%2C%5C%2C%28i%29)
For Justin:
![6x+8y+5z=16.75\,\,\,(ii)](https://tex.z-dn.net/?f=6x%2B8y%2B5z%3D16.75%5C%2C%5C%2C%5C%2C%28ii%29)
For Virginia:
![5x+5y+7z=11.75\,\,\,(iii)](https://tex.z-dn.net/?f=5x%2B5y%2B7z%3D11.75%5C%2C%5C%2C%5C%2C%28iii%29)
On subtracting equations (i) and (ii), we get
![(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z](https://tex.z-dn.net/?f=%286x%2B7y%2B8z%29-%286x%2B8y%2B5z%29%3D15.75-16.75%5C%5C-y%2B3z%3D-1%5C%5Cy-3z%3D1%5C%5Cy%3D1%2B3z)
Put
in equation (i)
![6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)](https://tex.z-dn.net/?f=6x%2B7%281%2B3z%29%2B8z%3D15.75%5C%5C6x%2B29z%3D8.75%5C%2C%5C%2C%5C%2C%28iv%29)
Put
in equation (iii)
![5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)](https://tex.z-dn.net/?f=5x%2B5%281%2B3z%29%2B7z%3D11.75%5C%5C5x%2B22z%3D6.75%5C%2C%5C%2C%5C%2C%28v%29)
Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.
![5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25](https://tex.z-dn.net/?f=5%286x%2B29z%29-6%285x%2B22z%29%3D5%288.75%29-6%286.75%29%5C%5C13z%3D3.25%5C%5Cz%3D%5Cfrac%7B3.25%7D%7B13%7D%3D0.25)
Put
in equation ![y=1+3z](https://tex.z-dn.net/?f=y%3D1%2B3z)
![y=1+3(0.25)=1.75](https://tex.z-dn.net/?f=y%3D1%2B3%280.25%29%3D1.75)
Put
in equation (i)
![6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25](https://tex.z-dn.net/?f=6x%2B7%281.75%29%2B8%280.25%29%3D15.75%5C%5C6x%2B12.25%2B2%3D15.75%5C%5C6x%3D1.5%5C%5Cx%3D0.25)
Check the picture below.
notice that the triangle ADH, since the segment AL is an angle bisector, meaning it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.
Answer:
Bro it’s a’c’d the sun the moon and the earth their energy works together pushing and pulling towards the earth creating a gravitational pull.
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91