Step-by-step explanation:
x = 36
y = 48
z = 72
hope it helps
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.
For the first one, the range is the largest number minus the smallest number. The largest number in this case is 11 and the smallest is 4. 11 - 4 = 7 so the maximum range is 7 inches.
For the second one, the IQR is Q3 - Q1. This means 30 - 20 = IQR and 30 - 20 is 10 books.
And the last one asks for dinner customers, and there are 54 total. 28 of them chose cheesecake as their favorite dessert. This means that the amount of dinner customers that chose cheesecake as their favorite is 28/54 or 0.5185, whihc is 51.85%
Hope this helps!!
Answer:
the number of vegetables did farmer bring in the market is 1764 vegetables
Step-by-step explanation:
The computation of the number of vegetables did farmer bring in the market is shown below:
= 18 bags × 42 kgs + 28 bags × 36 kgs
= 756 + 1008
= 1764 vegetables
Hence, the number of vegetables did farmer bring in the market is 1764 vegetables
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
= 
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
