Answer: (A) The fraction of residents opposed to the project was three-sevenths (3/7)
(B) The total number of residents is 2,128.
Step-by-step explanation: If the number of residents in support of the building project is expressed as a fraction of the total number, then the total number can be expressed as 1. That means we should have two fractions, those in support and those not in support and their addition should be equal to 1.
Hence if the total is 1 and 4/7 are in support, the fraction of those opposed (let that be y) can be calculated as
y = 1 - 4/7
y = 7/7 - 4/7
y = (7 - 4)/7
y = 3/7
Also, the number of residents not in support is 912 (which is 3/7 of the total). That means 912 is three out of seven of f the total population. In other words,
3/7 = 912/x
(Where x is the total population)
By cross multiplication we now have
3x = 912 x 7
x = 6384/3
x = 2128
Therefore the total population of residents is 2,128.
Answer:
31
Step-by-step explanation:
Following PEMDAS: Do the division first followed by the subtraction.
Answer: 5/12
Step-by-step explanation:
