Answer:
fraction > -18/5
dec> -3.6
Step-by-step explanation:
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:
7 year old boys: 45-53 inches
7 year old girls: 45-52 inches
A cuboid is a box-shaped object. It has six sides and all are perpendicular
Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)
We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm
Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)
Now we divide both equations by 2:
20=bc
50=2b+bc+2c
We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c
Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48
We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52
Now we know:
a=2cm
b=1,48cm
c=13,52cm
Formula for a diagonal is: