The answer is (4,2). The solution to a system of equations is when there is an intersection.
Answer: the cost of an adult ticket is $9.
The cost of a child's ticket is $13
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales, the school sold two adult tickets and three students tickets for a total of $57. It means that
2x + 3y = 57- - - - - - - - - -1
The school took and $70 on the second day by selling two adult tickets and four student tickets. It means that
2x + 4y = 70- - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- y = - 13
y = 13
Substituting y = 13 into equation 1, it becomes
2x + 3 × 13 = 57
2x + 39 = 57
2x = 57 - 39 = 18
x = 18/2
x = 9
Answer:
449 per hour
Step-by-step explanation:
First of all we know the question is asking us to round to the nearest tenth and find the rate of gallons per hour.
First:
Know there are 60 minutes in one hour
Second:
Take 7.48 and multiply it by 60
Third:
This should give you---448.8
Which is correct, but we are not done
Fourth:
Round to the nearest whole number
448.8
8 is closer to 10 than it is to 1 so we add 0.2
Which gives us 449
Five:
Just add the "per hour"
Six:
Your answer is---449 per hour---
Answer:
x = y = (15/2)√2
Step-by-step explanation:
You can recognize this as an isosceles right triangle, so x=y. They Pythagorean theorem then tells you that ...
15² = x² + x²
225/2 = x²
√(225/2) = x = √(225·2/4) = (15/2)√2
The solution is x = y = (15/2)√2.
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<em>Comment on isosceles right triangles</em>
It is worth remembering that the ratio of sides of an isosceles right triangle is ... side : side : hypotenuse = 1 : 1 : √2.
Knowing this lets you write down the solution to this problem as ...
x = y = 15/√2
Of course, the denominator of this fraction can be rationalized by multiplying the fraction by (√2)/(√2) to get (15√2)/2 or (15/2)√2.
This is impossible to answer without the scatterplot. Look at the point where the person scored 81, from there "draw" a straight line down to the bottom line, where it should answer how long the student studied for.
