Answer:


Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

Insert it in the previous equation to get

Answer:
Height and base are both 12 in
Step-by-step explanation:
Formula area triangle: area = (height * base) /2
Since for the first triangle height and base are the same we will call is x.
The area for the first triangle is
area = (x^2) /2 = 0.5x^2
The new triangle area is
first triangle - 36 = ((x/2) * x)/2
0,5x^2 - 36 = (0,5x * x)/2
0,5x^2 - 36 = (0,5x^2)/2
0,5x^2 - 36 = 0,25x^2
0,25x^2 = 36
x^2 = 144
X = square root (144) = 12 in
Answer:
(9,126)
Step-by-step explanation:
Make sure x and y are on the same side

Eliminate y by multiplying the first equation by 4 then adding both equations together

Plug the x value (9) into one of the equations

Solve

x=9, y=126
(9,126)
She will need 2 gallons for the whole room, 1/2 gallon for the remaining 1/4 of the room.
Answer:
Systematic sampling.
Step-by-step explanation:
The systematic sampling is a type of random sampling in which a unit is selected from k units and after this every kth unit is selected until population is serially numbered from 1 to N arranged in a systematic way.
The statement shows that every 18th truck is selected until a sample of 60 trucks is selected. It shows that a systematic random sample is obtained with k=18 and thus, systematic sampling is used.