4 x > − 16 (Possibility 1)
4 x
4 > − 16
4 (Divide both sides by 4)
x > − 4
6 x ≤ − 48 (Possibility 2)
6 x
6 ≤ − 48
6 (Divide both sides by 6)
x ≤ − 8
Answer:
x > − 4 or x ≤ − 8
Answer:
200
Step-by-step explanation:
11^2+10^2=x^2
121+100=x^2
221=x
nearest 100th would be 200
Answer:
![2\frac{2}{3}\text{ ft}^3\approx 2.67\text{ ft}^3](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B3%7D%5Ctext%7B%20ft%7D%5E3%5Capprox%202.67%5Ctext%7B%20ft%7D%5E3)
Step-by-step explanation:
We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.
To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:
![\text{Amount of soil in each pot}=\frac{8\text{ ft}^3}{3}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20soil%20in%20each%20pot%7D%3D%5Cfrac%7B8%5Ctext%7B%20ft%7D%5E3%7D%7B3%7D)
![\text{Amount of soil in each pot}=2\frac{2}{3}\text{ ft}^3](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20soil%20in%20each%20pot%7D%3D2%5Cfrac%7B2%7D%7B3%7D%5Ctext%7B%20ft%7D%5E3)
![\text{Amount of soil in each pot}=2.6666\text{ ft}^3](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20soil%20in%20each%20pot%7D%3D2.6666%5Ctext%7B%20ft%7D%5E3)
![\text{Amount of soil in each pot}\approx 2.67\text{ ft}^3](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20soil%20in%20each%20pot%7D%5Capprox%202.67%5Ctext%7B%20ft%7D%5E3)
Therefore, Martha needs to put approximately 2.67 cubic feet of soil in each flower pot.
(0,-12) is the y intercept
Answer:
He can make <u>3 birdhouses</u> if he has 12 feet of wood.
Step-by-step explanation:
Given:
Henry uses 3 feet of wood to make 3/4 of a birdhouse.
If he has 12 feet of wood.
Now, to find the birdhouses he can make.
So, to get the number of birdhouses we use unitary method:
Henry uses 3 feet of wood to make
of a birdhouse.
So, in 1 feet of wood to make =
= ![\frac{3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D)
Thus, in 12 feet of wood =
= ![\frac{36}{12}=3.](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B12%7D%3D3.)
Therefore, he can make 3 birdhouses if he has 12 feet of wood.