Answer:
52
Step-by-step explanation:
We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

We want to isolate the variable, so subtract 7 from both sides. This gives us:

Finally, we divide both sides by 3, giving:

So the teacher is 52 years old.
Hope this helps!
I hope this helps you
Perimeter =2 (width +length )
324=2 (67+length )
162-67=length
length =95
Answer:
24, 14
Step-by-step explanation:
x + y = 38
x = 10 + y
You can substitute (10+y) into the top equation where the x is.
10 + y + y = 38
10 + 2y = 38
2y = 28
y = 14
Now plug 14 in for y in either equation to get x
x = 10 + 14
x = 24
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to

where

substitute

Convert to expanded form

using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches