Answer: 17 nickels, 8 dimes
Step-by-step explanation:
Since we are given system of equations, we can use elimination method to find n or d. First, let's eliminate n. To do so, we need to make sure they are equal to each other. Then, we would have to multilpy the second equaiton by 0.05.
0.05N+0.1D=1.65
0.05N+0.05D=1.25
Now, we can subtract the 2 equations.
0.05D=0.4
D=8
Now that we know the number of dimes, we can plug it into any of the equations to find nickels.
N+8=25
N=17
There are 17 nickels and 8 dimes.
...it’s 0.21 because 21% is 21/100 which makes it 0.21
Answer: 2
Have a good day ¯\_(ツ)_/¯
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
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.
