Answer: ![3\leq x \leq 18](https://tex.z-dn.net/?f=3%5Cleq%20x%20%5Cleq%2018)
Step-by-step explanation:
Given, the length of the rectangular dog run is 18 feet.
Formula: Perimeter = 2 ( length + width)
Let width be x.
Then, Perimeter = 2 (18 + x ) feet
The perimeter of the dog run must be at least 42 feet and no more than 72 feet.
That is
![42\leq 2 (x+18)\leq 72](https://tex.z-dn.net/?f=42%5Cleq%202%20%28x%2B18%29%5Cleq%2072)
Divide inequality by 2, we get
![21\leq 18+x\leq 36](https://tex.z-dn.net/?f=21%5Cleq%2018%2Bx%5Cleq%2036)
Subtract 18 from each side, we get
![3\leq x \leq 18](https://tex.z-dn.net/?f=3%5Cleq%20x%20%5Cleq%2018)
Required inequality : ![3\leq x \leq 18](https://tex.z-dn.net/?f=3%5Cleq%20x%20%5Cleq%2018)
Slope is 0
Step-by-step explanation:
- Step 1: Find slope using the formula for slope, m = (y2 - y1)/(x2 - x1) Here, x1 = -2, y1 = -1, x2 = 5 and y2 = -1
⇒ m = (-1 - -1)/(5 - -2)
= 0/7 = 0
The distance from A to B is the radius, as point A is the center of the circle, and B is a point on the circle.
AB is 5 inches, so the radius will be 5 inches.
D is another point on the circle, so AD would also be considered a radius. This means that the distance from A to D would be 5 inches.
The number of solutions of the system of equations is 904 086
Answer:
Let P represent the number of pies sold and J represent the number of juices sold.
a)
The first equation for the sum of the sales:
P + J = 79
P = 79 - J
Next, for the sum of the amounts earned:
1.65P + 1.36J = 118.17
Substituting P,
1.65 (79 - J) + 1.36J = 118.17
J = 42
Using this value of J,
P = 79 - 42
P = 37
b)
Mr. Sanchez's class earned: 1.65 x 37 = $61.05
Mr. Kelly's class earned: 1.36 x 42 = $57.12
So Mr. Sanchez's class earned more money.
c) Mr. Sanchez's class earned:
61.05 - 57.12
= $3.93 more than Mr. Kelly's class
Step-by-step explanation:
:)