Add 8.1 to both sides to find x!
hope this helps :-)
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:
4 Tacos
Step-by-step explanation:
It cost less for four tacos then five tacos
Yes because you multiply first so in this case you multiply 7 and 3 first. Since the second expression is in parenthesis you do that first just like you do 7 times 3. Then you just add 2 to that. The value of both expressions is 23
Answer:
Charlie is incoerre
Step-by-step explanation:
Given that :
Line of sight to top of flagpole = 16 feets
Angle of elevation = 60°
The height of the flagpole :
Applying trigonometry to the drawing in the attached picture :
We use:
Sinα = opposite / hypotenus
This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)
Sin(60°) = h / 16
h = 16 * sin 60
h = 16 * 0.8660254
h = 13.856406
Hence flagpole is about 13.86 feets high
Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul