Answer:
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
![Students = 1](https://tex.z-dn.net/?f=Students%20%3D%201)
![Adults = 4](https://tex.z-dn.net/?f=Adults%20%3D%204)
![Total = \$48](https://tex.z-dn.net/?f=Total%20%3D%20%5C%2448)
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
![4 * x + 8 * 1 = 48](https://tex.z-dn.net/?f=4%20%2A%20x%20%2B%208%20%2A%201%20%3D%2048)
![4 x + 8 = 48](https://tex.z-dn.net/?f=4%20x%20%2B%208%20%3D%2048)
Subtract 8 from both sides
![4 x + 8 -8= 48 - 8](https://tex.z-dn.net/?f=4%20x%20%2B%208%20-8%3D%2048%20-%208)
![4 x= 40](https://tex.z-dn.net/?f=4%20x%3D%2040)
Solve for x
![x = 40/4](https://tex.z-dn.net/?f=x%20%3D%2040%2F4)
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Answer:
Is the Square Root of 7 Rational or Irrational? A rational number is defined as a number that can be expressed in the form of a quotient or division of two integers, i.e. p/q, where q is not equal to 0. ... Due to its never-ending nature after the decimal point, √7 is irrational.
8 2/3 :) This is what I got.
Answer: x = log₃₇(12)
Step - by - step explanation:
1. Remove the variable from the exponent using logarithms
37^x=12
Take the common logarithm of both sides of the equation:
log₁₀(37^x)=log₁₀12)
Use the log rule: log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:
x*log₁₀(37)=log₁₀(12)
2. Isolate the x-variable
x*log₁₀(37)=log₁₀(12)
Divide both sides of the equation log₁₀(37) by:
x = log₁₀(12) / log₁₀(37)
Use the formula ![log_{b}(x)/log_{b}(a) = log_{a} (x)](https://tex.z-dn.net/?f=log_%7Bb%7D%28x%29%2Flog_%7Bb%7D%28a%29%20%3D%20log_%7Ba%7D%20%28x%29)
to combine the logarithms into one:
x=log₃₇(12)
Decimal form:
x=0.6881648129099501
Hope this helps!
Answer: 67
Step-by-step explanation:
Let x = number of passengers.
Case M: x< =75 (no refund)
Cost per passenger = $230
To generate the revenue, we should satisfy
230x =15990
x = 69.5
Set x = 67 in order to generate the revenue.
Case N: x>75
Cost per passenger minus refund = 230 - 5 = $225
Therefore
225x = 15990
x = 71.1
Because x<75, ignore this answer.
More than 75 passengers will generate more than $15990.