The correct answer is B) y = 120000x + 420000.
We multiply 120,000 by x since that is the cost per person per day, and x is the number of days. We add 420,000 because that is the one time cost of the round trip airfare.
Answer:
the integer in question lies between 13 and 14.
Step-by-step explanation:
Review the perfect squares in the neighborhood of 194. The first that came to my mind was 225 (the squre of 15), and then 196 (the square of 14), and then 169, the square of 13.
Since 169 < x^2 < 196, the integer in question lies between 13 and 14.
Check with a calculator: √194 ≈ 13.93
Answer: I can help
Step-by-step explanation:
Based on the given sequence of numbers above, the best definition of it would be a geometric sequence. It is a geometric sequence because term of the sequence of numbers after the first is found by multiplying the previous one by a fixed, non-zero number, and the sequence shows a common ratio.
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
