Answer:
6:4
This ratio means that for every 6 basketballs there are 4 soccer balls.
Answer:
A. 15 mo; $875
B. 5 mo; $250
Step-by-step explanation:
A. <em>Gym fees
</em>
Let n = no. of months
<em>Community Gym</em>: Fees = 50 + 55n
<em>Workout Gym:</em> Fees = 200 + 45n
When the fees are equal,
50 + 55n = 200 + 45n Subtract 50 from each side
55n = 150 + 45n Subtract 45n from each side
10n = 150 Divide each side by 10
n = 15
<em>Community Gym</em>: Fees = 50 + 55n
Fees = 50 + 55×15
Fees = 50 + 825
Fees = $875
<em>Workout Gym</em>: Fees = 200 + 45n
Fees = 200 + 45×15
Fees = 200 + 675
Fees = $875
After 15 mo, the fees at each gym will be equal at $875.
B. <em>Computer
</em>
Option 1: Savings = 200 + 10n
Option 2: Savings = 100 + 30n
When the savings are equal,
200 + 10n = 100 + 30n Subtract 100 from each side
100 + 10n = 30n Subtract 10n from each side
100 = 20n Divide each side by 20
n = 5
<em>Option 1</em>: Savings = 200 + 10n
Savings = 200 + 10×5
Savings = 200 + 50
Savings = $250
<em>Option 2</em>: Savings = 100 + 30n
Savings = 100 + 30×5
Savings = 100 + 150
Savings = $250
After five months, the savings by either option will be equal at $250.
Given:
To find:
The exponential form of given equation.
Solution:
We have,
According to the property of the logarithm,
Using the above property of the logarithm, we get
Therefore, the required equation in exponential form is .
So the equation to find the discriminant is √(b^2 - 4ac), with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation above, we can solve for it as such:
Since the discriminant is greater than zero and a perfect square, this means that there are 2 real, rational solutions to this polynomial.
Question
Tickets for a game Cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number of adults. The total amount of money from ticket sales was $619. How many of each tickets were sold?
Step-by-step explanation: