Answer: Angie's profit equation is 25x−200=p
Step-by-step explanation:
Let x represent the number of lawns that Angie mows in her neighborhood.
Let p represent the profit made by mowing x lawns.
Profit = Revenue - cost
She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x
So her revenue is 25x
She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as
p = 25x - 200
Answer:
11610
Step-by-step explanation:
First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.
Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.
Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.
Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.
Answer:
See below
Step-by-step explanation:
<u>Given points:</u>
<u>Let's calculate it's equation:</u>
- y = mx +b
- m = (4 + 11)/(6 +3) = 15/9 = 5/3
- y = 5/3x + b
- -11 = 5/3*(-3) + b ⇒ b = -11 + 5 = -6
- y = 5/3x - 6
<u>The given line:</u>
Compared, the lines have different slope (5/3 vs 32) but same y- intercept (-6), so both pass through the point of (0, -6). y= 32x - 6 has greater rate of change.
The formula of a volume of a cone:
![V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DBh%5B%2Frex%5D%3C%2Fp%3E%3Cp%3EB%20-%20area%20of%20a%20base%3C%2Fp%3E%3Cp%3Eh%20-%20height%3C%2Fp%3E%3Cp%3EWe%20have%3C%2Fp%3E%3Cp%3E%5Btex%5DV%3D90%5C%20cm%5E3%2C%5C%20B%3D18%5C%20cm%5E2)
Substitute:

<h3>Answer: 15 cm.</h3>
Gcf refers to a digit which can divide both numbers without a remainder
20|50 is divisible by 2 to become 10|25 and then divisible by 5 to become 2|5
=2×5
Gcf= 10