Let student tickets be s and adult tickets be a. The number of tickets sold of both adult and student then is s + a = 396. If each student ticket costs $3, then we represent the money equation by tacking the dollar amount onto the ticket. 3s is the cost of one student ticket. 4a is the cost of an adult ticket. The total money from the sales of both is 4a + 3s = 1385. We now have a system of equations we can solve for a and s. If s+a=396, then s = 396-a. We will sub that into the second equation to get 4a + 3(396-a) = 1385. Distributing we have 4a+1188-3a=1385. a = 197. That means there were 197 adult tickets sold. If s + a = 396, then s + 197 = 396 and s = 199. 197 adult tickets and 199 student tickets. There you go!
Answer:
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
Answer:
26.3 grams
Step-by-step explanation:
36% = 36/100 = 0.36
73 * 0.36 = 26.28 grams ≈ 26.3 grams
Answer:
27
Step-by-step explanation:
If set A has 3 elements then number of elements in A*A*A is 27
Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
