Answer:
e
Step-by-step explanation:
You can solve this since you can develop 3 equations for your 3 unknowns. Each equation is made using the Pythagorean theorem:
1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2
Simplifying the above we get:
1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2
We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:
2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2
Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:
1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
Answer:
Three of those boxes equals 27, you would take 27/3 to find out that each box is worth 9. You now want to take 9*4 to get your total number
9*4=36
So 3/4 of 36 is 27
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2x – y = (3/4)x + 6.
or, 2x - (3/4)x = y + 6.
or, (8x -3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y + 24.
or, x = (4y + 24)/5.
Therefore, x = 4(y + 6)/5.
Answer: Is 3 Students.
Step-by-step explanation: 30+40=70 220/70=3.
So 3 students are in the group.
