Answer:
108 apples.
Step-by-step explanation:
Cuz 3+6=9 and 9•12=108
Answer: 1 cup of sugar
Step-by-step explanation:
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.
Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.
If 3 cups of bananas is required for 3/2 cups of sugar,
x cups of bananas will require 1 cup of sugar
3x / 2 = 3
3x = 6
x = 6/3 = 2
Therefore,
2 cups of bananas will require 1 cup of sugar.
We are looking for the number of cups of sugar that would require 2 cups of bananas.
We already got the answer.
1 cup of sugar would be used if 2 cups of bananas are used.
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:
Jersey cost $8 and pair of shorts $5
Step-by-step explanation:
There are several ways to solve this, but I will find the solution using the system of equations.
Let's mark price of jersey with x, and price of pair of shorts with y. That means:
12x + 12y = 156
4x + 6y = 62
Now, we can multiply the second equation with -2 to cancel out y:
12x + 12y = 156
-8x - 12y = -124
That only leaves us with:
12x - 8x = 156 - 124
4x = 32
x = $8
Now we plug the value for x into any equation to find y:
4x + 6y = 62
32 + 6y = 62
6y = 30
y = $5
