Answer:
The slope is 1.
Step-by-step explanation:
Remember:
![m = \frac{y_2 - y_1 }{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%20%7D%7Bx_2%20-%20x_1%7D)
Let's plug in!
![m = \frac{ 9 - 4}{4 - ( -1)} = \frac{ 5}{ 5} = 1](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%209%20-%204%7D%7B4%20-%20%28%20-1%29%7D%20%3D%20%5Cfrac%7B%205%7D%7B%205%7D%20%3D%201)
15/6 = 2.5 cherry tomatoes per serving
500 * 2.5 = 1,250 cherry tomatoes
Answer: the original length of the piece of wood is 23 feet
Step-by-step explanation:
Let x represent the original length of the piece of wood.
He cuts 3 feet off the piece of wood. This means that the remaining length of wood would be
(x - 3) feet
he cuts the remaining length of wood into four equal parts. if each part is 5 feet long, it means that
(x - 3)/4 = 5
Cross multiplying by 4, it becomes
x - 3 = 4 × 5
x - 3 = 20
x = 23
Answer:
See below.
Step-by-step explanation:
So we have the inequality:
![2x+6>20](https://tex.z-dn.net/?f=2x%2B6%3E20)
Subtract 6 from both sides:
![2x>14](https://tex.z-dn.net/?f=2x%3E14)
Divide both sides by 2:
![x>7](https://tex.z-dn.net/?f=x%3E7)
So, the solution is all numbers greater than 7.
And we're done!
2000 * .1 = 200 + 2000 = 2200 (First year)
2200 *.1 = 220 + 2200 = 2420 (second year )
2420* .1 = 242 + 2420 = 2662 (third year )
2662 * .1 = 266.2 + 2662 = 2928.2 (fourth year)
They spent $2928.2 on clothing for 4 years.