The doubling time of a population of flies is 4 hours. By what factor does the population increase in 24 hours
Answer:
b) y = 2/3x
Step-by-step explanation:
Slope (m) formula: ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
I will be using (3,2) and (-3,-2) to find the slope:
![m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-2%7D%7B-3-3%7D%5C%5Cm%3D%5Cfrac%7B-4%7D%7B-6%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
![y = mx + b\\y = \frac{2}{3}x+b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
(3,2)
![y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb%5C%5C%5C%5C2%20%3D%20%5Cfrac%7B2%7D%7B3%7D%283%29%2Bb%5C%5C%5C%5C2%20%3D%202%2Bb%5C%5C-2%20%20-2%5C%5C%5C%5C0%3Db)
![y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2B0%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
Hope this helps!
We need five sections of 20% to get 100%.
So all we need to do is times 20 degrees by 5.
20 x 5 = 100
So your answer is 100 degrees.
Hope this helped. Have a great day!
Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase <em>Copy Dot Flip </em>- Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
Now, just multiply and reduce/simplify the fraction if needed
<u>Final answer is </u>
<u>, no need to simplify or reduce</u>
Hope that helps!!
Answer:
x = 3
Step-by-step explanation:
a triangle has 180 degrees in all
a square for an angle is 90 degrees
we can add them all together and get 180
90 + 45 + 8x + 21 = 180
combine like terms
156 + 8x = 180
subtract 156 to each side
8x = 24
then find x
x = 3