25/100
27/108
31/124
these three equal 1/4 or 1:4
Cause 6^8 = 1679616 while if 3^5 times 2^3 only = 1944
Answer:
51.69 hours (see explanation)
Step-by-step explanation:
This question is simple once you break it down:
84 boxes in 312 hours is a rate, so it can be shown in fraction form:
84 boxes / 312 hours
Now to figure out how long it takes to unpack those 192 boxes, just multiply:
192 x 84/312
(192 x 84) / 312
16128 / 312
Now, just divide the numbers:
16128 ÷ 312 = 51.69 hours
Use this formula:
![d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%7D)
a) d=11
Work:
d=sqrt((4-(-7))^2+(5-5)^2
d=sqrt((11)^2+(0)^2)
d=sqrt(121+0)
d=sqrt(121)
d=11
b) d=4
c) d = 16
d) d=160
e) d=12
Answer:
4x² - 21x - 18
Step-by-step explanation:
Use FOIL.
![(x-6)(4x+3)\\\\x*4x = 4x^2\\\\x * 3 = 3x\\\\-6 * 4x= -24x\\\\-6 * 3 = -18\\\\\\4x^2+3x-24x-18\\\\\boxed{4x^2-21x-18}](https://tex.z-dn.net/?f=%28x-6%29%284x%2B3%29%5C%5C%5C%5Cx%2A4x%20%3D%204x%5E2%5C%5C%5C%5Cx%20%2A%203%20%3D%203x%5C%5C%5C%5C-6%20%2A%204x%3D%20-24x%5C%5C%5C%5C-6%20%2A%203%20%3D%20-18%5C%5C%5C%5C%5C%5C4x%5E2%2B3x-24x-18%5C%5C%5C%5C%5Cboxed%7B4x%5E2-21x-18%7D)
Hope this helps.