Let's say x = full price tickets
Let's say y = student tickets
We can write two equations:
From "585 tickets were sold" we can make the equation:
x + y = 585
And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:
2.50x + 1.75y = 1,217.25
So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.
x + y = 585
x + y - y = 585 - y
x = 585 - y
Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25
Distribute your 2.50
1462.5 - 2.50y + 1.75y = 1217.25
Add the y's: 1462.5 - 0.75y = 1217.25
Subtract 1462.5 from both sides:
1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5
-0.75y = -245.25
Divide both sides by -0.75:
y = -245.25/-0.75
y = 327
There were 327 student tickets :)
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
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Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
––––––––––––
g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
The distance between A (4, 6) and B (9, 7) is √26 or 5.1.
<h3>How to find the distance between two points?</h3>
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
So the distance between A (4, 6) and B (9, 7) will be
d = √26 = 5.099
Rounded to nearest tenth ⇒ 5.1 units.
Hence "The distance between A (4, 6) and B (9, 7) is √26 or 5.1".
To learn more about the distance between two points,
brainly.com/question/24485622
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The number 4,770,000 in appropriate scientific notation would be 4.770000x10^16
Answer: The y values remain the same, but the x value changes its sign
Step-by-step explanation: There is a way to remember this. If you reflect across the y axis the y will stay the same and, if you reflect across the x axis the x will stay the same. So if the axis is in the problem then that axis will stay the same and the other axis will change to its opposite.
