Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
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Answer:
Maksim's answer and explanation are not correct
The actual domain is 2 < x < Infinity
Step-by-step explanation:
The domain of a function is the set that is made up of the possible inputs of the function
The given function is f(x) = √(x - 2)
Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers
The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary
Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;
The domain of f(x) = 2 < x < ∞
Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.