Answer:
Children: $13
Adults: $18
Step-by-step explanation:
Well for both sets we can set up the following system of equations,

So first we need to solve for a in the first equation.
3a + 4c = 106
-4c to both sides
3a = -4c + 106
Divide 3 by both sides
<u>a = -4/3c + 35 1/3</u>
Now we plug in that a for a in 2a + 3c = 75.
2(-4/3c + 35 1/3) + 3c = 75
-8/3c + 70 2/3 + 3c = 75
Combine like terms
1/3c + 70 2/3 = 75
-70 2/3 to both sides
1/3c = 4 1/3
Divide 1/3 to both sides
c = 13
Now we can plug in 13 for c in 3a + 4c = 106,
3a + 4(13) = 106
3a + 52 = 106
-52 to both sides
3a = 54
Divide 3 by both sides.
a = 18
<em>Thus,</em>
<em>an adult ticket is $18 and a children's ticket is $13.</em>
<em />
<em>Hope this helps :)</em>
13)
Circumference (C) = 2π·r
11π = 2π·r
11/2 = r
******************************
Area (A) = π·r²
= π·(11/2)²
= 121π/4
≈ 94.985 in²
14)
diameter = 2r
42 = 2r
21 = r
*******************
Area (A) = π·r²
= π·(21)²
= 441π
≈ 1384.74 in²
***************************
$280/1384.74 in²
x = $0.20
Answer: about 20 cents per square inch
Answer:
9016 litres left
Step-by-step explanation:
The fish were not sick.
You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left
To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
Answer:
the tax will be 86.8 I hope it helps