Answer:
adult tickets = 17, children tickets = 9
Step-by-step explanation:
Let x be the number of children and y the number of adults
Then given that 26 tickets are sold, we can write
x + y = 26 → (1)
Given that ticket cost was $194 we can write
5.5x + 8.5y = 194 → (2)
Rearrange (1) expressing y in terms of x by subtracting x from both sides
y = 26 - x → (3)
Substitute y = 26 - x into (2)
5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side
5.5x + 221 - 8.5x = 194
- 3x + 221 = 194 ( subtract 221 from both sides )
- 3x = - 27 ( divide both sides by - 3 )
x = 9
Substitute x = 9 into (3) for corresponding value of y
y = 26 - 9 = 17
Hence number of adult tickets sold = 17
number of children tickets sold = 9
Answer:
y = 6
Step-by-step explanation:
Its going by 6's
Answer:
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Step-by-step explanation:
778885542123456678900098776554331112345678900
It could be anything they are both variables.
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
