Answer: 56 years
Step-by-step explanation:
Let Adam's age be
, since the father is 3 times as old as him , then the father will be
.
Two years ago
Adam = 
Father = 
since Adam was 15 years old 2 years ago , this means that

add 2 to both sides

Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.
In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time
A) The answers are:
the first frequency - 428.75 Hz
the second frequency - 1286.25 Hz
the third frequency - 2143.75 Hz
The frequency (when the pipe is closed) is: f = v(2n - 1)/4L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * (2 * 1 - 1) / 4 * 0.2 = 343 * 1 / 0.8 = 428.75 Hz
2. The second frequency (n = 2):
f = 343 * (2 * 2 - 1) / 4 * 0.2 = 343 * 3 / 0.8 = 1286.25 Hz
3. The third frequency (n = 3):
f = 343 * (2 * 3 - 1) / 4 * 0.2 = 343 * 5 / 0.8 = 2143.75 Hz
B) The answers are:
the first frequency - 857.5 Hz
the second frequency - 1715 Hz
the third frequency - 2572.5 Hz
The frequency (when the pipe is open) is: f = vn/2L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * 1 / 2 * 0.2 = 343 / 0.4 = 857.5 Hz
2. The second frequency (n = 2):
f = 343 * 2 / 2 * 0.2 = 686 / 0.4 = 1715 Hz
3. The third frequency (n = 3):
f = 343 * 3 / 2 * 0.2 = 1029 / 0.4 = 2572.5 Hz
Answer:
27 degrees and 63 degrees
Step-by-step explanation:
Let n be the number.
Angle 1: 2n-15
Angle 2: 3n
If the angles are complementary they add up to 90.
Therefore we can write an equation.
2n-15+3n=90
Combine like terms
5n-15=90
Add 15 to both sides
5n=105
n=21
Now we plug 21 in for n and solve for the angles
Angle 1 = 2(21)-15
Angle 1 = 42-15
Angle 1 = 27
Angle 2 = 3(21)
Angle 2 = 63
Answer: y= -1/2x + 5/2
Step-by-step explanation:
3x = 15 -6y
+6y + 6y
3x +6y =15
-3x -3x
6y= 15-3x divide both sides by 6
y= 15/6 - 3/6x
in slope intercept form us y= -3/6x + 15/6 in simplest form is y= -1/2x + 5/2
Answer:
4 nickels to 1 dime
Step-by-step explanation:
the steps are in the pic above I gotta get this to 20 characters bye!