X=number of adults, y= number of students
x+y=12
18x+12y=162
You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:
3x+2(12-x)=27
3x-2x+24=27
x=3.
Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.
Answer:
v = 8.49 m/s rounded off to 3 significant figures
Step-by-step explanation
Using Energy Conservation
U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)
- At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
- Ui = 0 + mgh
- At ground all potential energy is converted to kinetic; hence, Uf =
mv². - Since total energy of the system remains constant we equate Ui to Uf.
- Ui = Uf
- mgh =
mv² - After cancelling out masses and making v the subject of the formula we get:
v =
=
= 8.49 m/s rounded off to 3 significant figures
Multiply the coefficient with all the values inside the parenthesi next to them. Then add the values.
Answer:
The actual length of the helicopter is <u>23 feet</u>.
Step-by-step explanation:
Given:
On a scale drawing, a helicopter is 2.3 feet long.
The scale on the drawing shows a ratio of 1 foot to 10 feet.
Now, to find the actual length of the helicopter.
Let the actual length of helicopter be
.
On scale drawing length of helicopter = 2.3 feet.
The scale on the drawing shows a ratio = 1:10.
Now, as ratios are given so by setting proportion we solve it:

<em>By cross multiplying we get:</em>
⇒ 
⇒ 
⇒ 
Therefore, the actual length of the helicopter is 23 feet.