Answer:
£11, £33, £22
Step-by-step explanation:
F:D:S= 1:3:2
Fiona £11
Dan £33
Stephen £22
You substitute the given value of y into the equation
8x+4(3x+8)=12
Solve the equation for x
x= -1
Substitute the given value of x into the equation y=3x+8
y=3x (-1)+8
Solve the equation for y
y=5
Answer: (x= -1) (y= 5)
Answer:
The mean number of gerbils seen per day is 6.
The mean absolute deviation of the data is 2.29.
Step-by-step explanation:
The mean of a data set is the value that represents the entire data set. It is the average value.
The formula to compute the mean of a data set is:

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.
The formula to calculate the value of MAD is:

The data set for the number of gerbils seen per day is:
S = {2, 3, 5, 7, 8, 8, 9}
Compute the mean of the data as follows:

![=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B2%2B3%2B5%2B7%2B8%2B8%2B9%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2042%5C%5C%5C%5C%3D6)
The mean number of gerbils seen per day is 6.
Compute the mean absolute deviation of the data as follows:

![=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B%7C2-6%7C%2B%7C3-6%7C%2B%7C5-6%7C%2B%7C7-6%7C%2B%7C8-6%7C%2B%7C8-6%7C%2B%7C9-6%7C%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2016%5C%5C%5C%5C%3D2.2857%5C%5C%5C%5C%5Capprox%202.29)
Thus, the mean absolute deviation of the data is 2.29.
4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
Answer: Steve's bedroom has the greater area.
Step-by-step explanation: The formula for area is Area = Length x Width.
So all you have to do to figure this out is multiply the Width of the rooms by the length.
So Steve's room is 12ft X 13ft = 156ft
Ricardo's room is 8ft X 14ft = 112ft
156ft > 112ft
Steve's room has a greater area.