Answer:
B
Step-by-step explanation:
Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
3/5 of the total responses expected = 87...
3/5x = 87
x = 87 / (3/5)
x = 87 * 5/3
x = 435/3
x = 145 <=== what was expected
Answer:
x = 1.24
Step-by-step explanation:
In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:
![ln(83)=ln(35)^x](https://tex.z-dn.net/?f=ln%2883%29%3Dln%2835%29%5Ex)
We can bring the x down in front to give us:
ln(83) = x ln(35)
The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:
![\frac{ln(83)}{ln(35)}=x](https://tex.z-dn.net/?f=%5Cfrac%7Bln%2883%29%7D%7Bln%2835%29%7D%3Dx)
Do this on your calculator and find that x = 1.24