Answer:
x<1 or x>5
Step-by-step explanation:
2x -3< -1 or -3x < -15
Solve them separately then put them back together
2x-3 < -1
Add 3 to each side
2x-3+3<-1+3
2x<2
Divide by 2
2x/2 <2/2
x<1
-3x < -15
Divide each side by -3, remembering to flip the inequality
-3x/3 > -15/-3
x>5
Put them back together
x<1 or x>5
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.
Let the two segments be x and y
x+y=45...1
X/y = 2/3...2
From1, y=45-x
Sub this into 2
x/(45-x)=2/3
3x=90-2X
5x=90
x=18
y=45-18=27
Answer:
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The amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a rate that is used to convert one nation's currency to another.
The exchange rate is based on the purchasing power of each nation's currency.
<h3>Data and Calculations:</h3>
Dollars before traveling to Mexico = $270
Value of Mexican pesos received for $270 = 3,000 pesos
Exchange rate = $1 = 11.11 pesos (3,000/$270)
Amount of pesos left after the trip = 100 pesos
Value of 100 pesos in dollars = <u>$9</u> (100/$11.11)
Thus, the amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
Learn more about exchange rates at brainly.com/question/2202418
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