Answer:$53
Step-by-step explanation:
Answer:
a) 0.04
b) 0.08
Step-by-step explanation:
Part a)
Divide the price of a pack by the number of stickers in a pack to get the price of one sticker.
$2/50 = $0.04/1
One stickers costs $0.04.
Part b)
Calculate 80% more than the price of one sticker.
80% in decimal form is 0.8. 80% more than the price is calculated with the factor 1.8.
($0.04)(1.8) = $0.072
Round 0.072 up because is rounded down, the profit is less than 80%.
0.072 => 0.08
Each sticker would need to be sold for $0.08.
1,152 times/ 6 minutes= 192 times/minute.
The monkey beats 192 times in 1 minute~
QUESTION 12
The given equations are;
and ![-4x+y=14...(2)](https://tex.z-dn.net/?f=-4x%2By%3D14...%282%29)
Make y the subject in equation (2).
![y=4x+16..(3)](https://tex.z-dn.net/?f=y%3D4x%2B16..%283%29)
We put this equation (3) into equation (1) to get;
![-6x+3(4x+16)=33](https://tex.z-dn.net/?f=-6x%2B3%284x%2B16%29%3D33)
Expand;
![-6x+12x+48=33](https://tex.z-dn.net/?f=-6x%2B12x%2B48%3D33)
![6x=33-48](https://tex.z-dn.net/?f=6x%3D33-48)
![6x=-15](https://tex.z-dn.net/?f=6x%3D-15)
![x=-\frac{5}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D)
Put
into equation (3)
![y=4(\frac{-5}{2})+16](https://tex.z-dn.net/?f=y%3D4%28%5Cfrac%7B-5%7D%7B2%7D%29%2B16)
![y=-10+16=6](https://tex.z-dn.net/?f=y%3D-10%2B16%3D6)
![x=-\frac{5}{2},y=6](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D%2Cy%3D6)
QUESTION 12
The given equations are
![2y=5x-1...(1)](https://tex.z-dn.net/?f=2y%3D5x-1...%281%29)
and
![x+y=-1...(2)](https://tex.z-dn.net/?f=x%2By%3D-1...%282%29)
Make y the subject in equation (2)
![y=-x-1...(3)](https://tex.z-dn.net/?f=y%3D-x-1...%283%29)
Put equation (3) into (1)
![2(-x-1)=5x-1](https://tex.z-dn.net/?f=2%28-x-1%29%3D5x-1)
![-2x-2=5x-1](https://tex.z-dn.net/?f=-2x-2%3D5x-1)
![-2+1=5x+2x](https://tex.z-dn.net/?f=-2%2B1%3D5x%2B2x)
![7x=-1](https://tex.z-dn.net/?f=7x%3D-1)
![x=-\frac{1}{7}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B7%7D)
Put
into equation (3).
![y=--\frac{1}{7}-1=-\frac{6}{7}](https://tex.z-dn.net/?f=y%3D--%5Cfrac%7B1%7D%7B7%7D-1%3D-%5Cfrac%7B6%7D%7B7%7D)
QUESTION 13
The given equations are
![x+y+z=-1...(1)](https://tex.z-dn.net/?f=x%2By%2Bz%3D-1...%281%29)
![2x+4y+z=1...(2)](https://tex.z-dn.net/?f=2x%2B4y%2Bz%3D1...%282%29)
![x+2y-3z=-3...(3)](https://tex.z-dn.net/?f=x%2B2y-3z%3D-3...%283%29)
Make x the subject in equation (3).
![x=3z-2y-3...(4)](https://tex.z-dn.net/?f=x%3D3z-2y-3...%284%29)
Put equation (4) into equation (1)
![3z-2y-3+y+z=-1](https://tex.z-dn.net/?f=3z-2y-3%2By%2Bz%3D-1)
![4z-y=2...(5)](https://tex.z-dn.net/?f=4z-y%3D2...%285%29)
Put equation (4) into equation (2)
![2(3z-2y-3)+4y+z=1](https://tex.z-dn.net/?f=2%283z-2y-3%29%2B4y%2Bz%3D1)
![6z-4y-6+4y+z=1](https://tex.z-dn.net/?f=6z-4y-6%2B4y%2Bz%3D1)
![7z=7](https://tex.z-dn.net/?f=7z%3D7)
![z=1](https://tex.z-dn.net/?f=z%3D1)
Put z=1 in equation (5)
![4(1)-y=2](https://tex.z-dn.net/?f=4%281%29-y%3D2)
![y=4-2](https://tex.z-dn.net/?f=y%3D4-2)
![y=2](https://tex.z-dn.net/?f=y%3D2)
Put y=2 and z=1 into equation(4)
![x=3(1)-2(2)-3](https://tex.z-dn.net/?f=x%3D3%281%29-2%282%29-3)
![x=-4](https://tex.z-dn.net/?f=x%3D-4)