3x -x + 8 + 5x - 2 = 10
3x - x + 5x = 10 -8 +2
7x = 4
x = 7/4
You gave us the speed and the frequency, and you need the wavelength.
You were also nice enough to remind us that (fqy)x(lng) = speed.
So . . . F x W = 343 m/s
Divide each side by F :
W = (343 m/s) / F
W = (343 m/s) / (240 / s)
W = (343/240) m
<em>W = 1.429 meters</em>
Answer: 30.5 and 35.5
Step-by-step explanation:
We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
Answer:
June has 7 green and 28 blue marbles
Step-by-step explanation:
b + g = 35
b = 4g
Use substitution method to solve them simultaneously
4g + g = 35
5g = 35
g = 7
b = 4g = 4(7) = 28
b = 28, g = 7
She has 7 green and 28 blue marbles
Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4
