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AfilCa [17]
3 years ago
15

Devon purchased tickets to an air show for 9 adults and 2 children. the total cost was $252. the cost of a child's ticket was $6

less than the cost of an adult's ticket. find the price of an adult's ticket and a child's ticket.
Mathematics
1 answer:
umka21 [38]3 years ago
5 0
A=cost of 1 adult ticket
c=cost of 1 child ticket

so
9a+2c=252
and
c=a-6
sub a-6 for c

9a+2(a-6)=252
9a+2a-12=252
11a-12=252
add 12 both sides
11a=264
divide both sides by 11
a=24

sub back
c=a-6
c=24-6
c=18

adult ticket costs $24 and child ticket costs $18
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Answer:

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Step-by-step explanation:

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3 years ago
Find the similarity ratio of a cube with volume 216 ft to a cube with volume 1000ft
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\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-----------------------------\\\\
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and simplify it away
3 0
3 years ago
What is the y-value in the solution to this system of linear equations?
Westkost [7]

Answer:

A

Step-by-step explanation:

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4x + 5y = - 12 → (1)

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Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)

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Add (1) and (3) term by term

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3 0
3 years ago
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3 years ago
In the diagram, point X is the centroid. If<br> EX=8, what is the length of XC ?
Phoenix [80]

Answer:

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Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

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2 years ago
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