Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
Learn more on word problem here;
brainly.com/question/13818690
#SPJ1
Answer:
Total revenue = 13.5 + 9 = $22.5
Step-by-step explanation:
The toll charges $1.00 for passenger cars and $2.25 for other vehicles. During daytime hours 60% of all the vehicles are passenger vehicles.
A particular daytime period 15 vehicle crossed the bridge. Recall that during daytime period, 60% of all the vehicles are passenger vehicles . Therefore,
Passenger vehicles = 60% of 15
Passenger vehicles = 60/100 × 15
Passenger vehicles = 900/100
Passenger vehicles = 9
9 of the vehicles are passenger vehicle and the charges for passenger cars is $1.00. other vehicle is $2.25.
revenue for passenger cars = 1 × 9 = $9
revenue for other vehicles = 2.25 × 6 = $13.5
Total revenue = 13.5 + 9 = $22.5
The Answer Is g(x)=1/3x^2
Use (3,3) to find the equation.
3^2x1/3=3
Meaning y or g(x) equals 3. Which is true.
<h2>
Answer:</h2>
<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>
This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.
None of the choices equal 1/50, so let's just make it a percentage anyway.
1/50 ---> 0.02
0.02 ---> 2%
<em>The answer is 2%, or 1/50 as a fraction.</em>