Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
Answer:
Problem 1)
![slope_{perpendicular} = -4](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20-4%20)
Problem 2)
![slope_{perpendicular} = -3](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20-3%20)
Step-by-step explanation:
![slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
![slope_{perpendicular} = \dfrac{-1}{m}](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7Bm%7D%20)
Problem 1) M(9,6), N(1,4)
![slope = m = \dfrac{6 - 4}{9 - 1} = \dfrac{2}{8} = \dfrac{1}{4}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7B6%20-%204%7D%7B9%20-%201%7D%20%3D%20%5Cdfrac%7B2%7D%7B8%7D%20%3D%20%5Cdfrac%7B1%7D%7B4%7D%20)
![slope_{perpendicular} = \dfrac{-1}{\frac{1}{4}} = -4](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20-4%20)
Problem 2) M(-2,2), N(4,-4)
![slope = m = \dfrac{4 - 2}{4 - (-2)} = \dfrac{2}{6} = \dfrac{1}{3}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7B4%20-%202%7D%7B4%20-%20%28-2%29%7D%20%3D%20%5Cdfrac%7B2%7D%7B6%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20)
![slope_{perpendicular} = \dfrac{-1}{\frac{1}{3}} = -3](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20-3%20)
I think C would be for number 11
A is for 12.
x/2 < - 18
Answer: Andre picked 252 pounds of apples
Step-by-step explanation:
Let x = number of pounds of apple picked by Jane.
Let y = number of pounds of apple picked by Andre
Let z = number of pounds of apple picked by Maria
Andre picks three times as many pounds as maria. It means that
y = 3z
Jane picks two times as many pounds as Andre. It means that
x = 2y
The total weight of the apples is 840 pounds. It means that
x + y + z = 840 - - - - - - - - - 1
We will substitute z = y/3 and x = 2y into equation 1
2y + y + y/3 = 840
Cross multiplying with 3
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 252× 2 = 504
z = y/3 = 252/3 = 84
Answer:
it is a true
Step-by-step explanation:
because they mean the same thing just written differently