Answer:
y = 45
Explanation:
(8)(10)(2)y = 7200
[ Simplify both sides of the equation ]
160y = 7200
[ Divide both sides by 160 ]
160y / 160 = 7200 / 160
y = 45
Check:
8(10)2(45) = 7200
Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)
Proof:
We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:
N + 2N > 3N
3N > 3N
3 > 3
which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.
Answer:
x = 1.71
Step-by-step explanation:
![x^3-20=-15\\x^3=-15+20\\x^3=5\\\sqrt[3]{x^3} =\sqrt[3]{5} \\x=1.71](https://tex.z-dn.net/?f=x%5E3-20%3D-15%5C%5Cx%5E3%3D-15%2B20%5C%5Cx%5E3%3D5%5C%5C%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B5%7D%20%5C%5Cx%3D1.71)
Answer:
B= 15 adults tickets
C= 35 student tickets
Step-by-step explanation:
x+y=50
solve for y
y=50-x
5x+3y=180
5x+3(50-x)=180
5x+150-3x=180
2x=30
x=15
y=50-15
y=35
Answer:
where the triangles are........????
