The perimeter of the park is 3x^2 + 37x - 4
<h3>How to determine the perimeter?</h3>
The side lengths of the triangular park are:
10x + 3x^2 - 8, 12x and 15x + 4
Add these sides to determine the perimeter
P = 10x + 3x^2 - 8 + 12x + 15x + 4
Collect the like terms
P = 3x^2 + 10x + 12x + 15x - 8 + 4
Evaluate the sum
P = 3x^2 + 37x - 4
Hence, the perimeter of the park is 3x^2 + 37x - 4
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Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
Answer:
49.62
Step-by-step explanation:
You can start by dividing the shape into 2 separate rectangles to make calculating the area easier.
9.3 x 2.4 = 22.32
10.5 x 2.6 = 27.3
Then, add the areas of the two separate rectangles to find the total area of the shape.
22.32 + 27.3 = 49.62. Hope that helped
D=2n
.05n+.1d=3.5
I multiplied the nickels and dimes by these values because that is their actual monetary value
.05n=3.5-.1d
multiply everything by 20
n=70-2d
d/2=70-2d
.5d+2d=70
2.5d=70
d=28
n=14
so there are <u>28 dimes and 14 nickels
</u>checking this answer
28 dimes = $2.8
14 nickels = .70
2.8+.7=3.5
