Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction
![15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B%2815%5Ctimes4%29%20%2B%201%7D%7B4%7D%20%3D%20%5Cfrac%7B61%7D%7B4%7D)
So the area of 1st rectangle is
![A_1 = 12\times \frac{61}{4} = 183 \: in^{2}](https://tex.z-dn.net/?f=A_1%20%3D%2012%5Ctimes%20%5Cfrac%7B61%7D%7B4%7D%20%3D%20183%20%5C%3A%20in%5E%7B2%7D)
He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction
![10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B%2810%5Ctimes3%29%20%2B%201%7D%7B3%7D%20%3D%20%5Cfrac%7B31%7D%7B3%7D)
![10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B%2810%5Ctimes4%29%20%2B%201%7D%7B4%7D%20%3D%20%5Cfrac%7B41%7D%7B4%7D)
So the area of 2nd rectangle is
![A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}](https://tex.z-dn.net/?f=A_2%20%3D%20%5Cfrac%7B31%7D%7B3%7D%5Ctimes%20%5Cfrac%7B41%7D%7B4%7D%20%3D%20105.91%20%5C%3A%20in%5E%7B2%7D)
The total construction paper needed for this project is
![A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}](https://tex.z-dn.net/?f=A%20%3D%20A_1%20%2B%20A_2%5C%5C%5C%5CA%20%3D%20183%20%2B%20105.91%5C%5C%5C%5CA%20%3D%20288.91%20%5C%3A%20in%5E%7B2%7D)
Therefore, Dennis need 288.91 square inches of construction paper for his project.
Answer:0.001
x=the number of workers taking the bus to work
p= probability of success =(15/100) = 0.15
q= probability of failure =1- p = 0.85
P(X=6) = 10C6(0.15)^6(0.85)^4
= 0.001
Answer:
im tired and i have a race today wish me luck
Step-by-step explanation:
No! a liter is as much as a big bottle of soda! he should use 3 milileters. please vote me brainliest if i helped :) ❤️