Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
X intercept is when y=0
or f(x) = 0
set the f(x)'s to 0
your answer is C
x-1=0 x+1=0 x+3=0
so x= -3, -1, and 1
Answer:
7500 pounds of toppings
Step-by-step explanation:
6,900 + 600=
I believe there are 20 quarters and 3 nickels.....
Total value of the jar is $5.15.....
Quarters are worth 25 cents
And nickels are worth 5 cents.
First you know that there are 4 quarters in a dollar.
You have 5 dollars so you do 4 x 5 = 20
So five dollars ($5.00) is 20 quarters.
And you still have 15 cents left.
Because quarters are 25 cents the rest are nickels.
Nickels are worth 5 cents so you'd do 5 x 3 = 15.
15 cents!
Add all this together and get $5.15.
So your answer is
There are 20 quarters and 3 nickels in the jar.
