Answer:
(a) 55080 m³
(b) 1312 truckloads
(c) 11 days
Step-by-step explanation:
(a) We have a rectangular prism with the dimensions 12 by 85 by 54, so the volume is just the product of these numbers:
V = 12 * 85 * 54 = 55080 m³
(b) The truck can hold 42 m³ of earth, so divide 55080 by 42 to get the number of truckloads required:
55080 / 42 = 1311.4
Since we will still need a truckload to hold that little bit of earth that involves 0.4 of a truck, we round up to 1312 truckloads.
(c) In one day, 4 trucks work for 6 hours and since each truck can remove 42 m³ with 5 loads per hour, we have:
42 * 5 * 6 * 4 = 5040 m³ earth removed a day
Divide 55080 by 5040 to get the number of days:
55080 / 5040 = 10.9 ≈ 11 days
Answer:
![x=\frac{13}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B4%7D)
Step-by-step explanation:
![\log _4\left(x-3\right)+\log _4\left(4x+3\right)=1](https://tex.z-dn.net/?f=%5Clog%20_4%5Cleft%28x-3%5Cright%29%2B%5Clog%20_4%5Cleft%284x%2B3%5Cright%29%3D1)
![\left(x-3\right)\left(4x+3\right)=4](https://tex.z-dn.net/?f=%5Cleft%28x-3%5Cright%29%5Cleft%284x%2B3%5Cright%29%3D4)
![x=\frac{13}{4},\:x=-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B4%7D%2C%5C%3Ax%3D-1)
Can you try putting these on a graph and then show your work and I can help
The correct answer is a) 5x√2x
10, because 6(2) is 12 then you divide that by 3 which is four to which you add 6. therefore the answer is 10.