Answer:
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 24 adult tickets and 3 student tickets for a total of $223.00. This means that
24x + 3y = 223 - - - - - - - - - - - -1
The school took in $152 on the second day by selling 7 adult tickets and 6 student tickets. This means that
7x + 6y = 152 - - - - - - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
144x + 18y = 1338
21x + 18y = 456
Subtracting, it becomes
123x = 882
x = 882/123
x = 7.17
Substituting x = 7.17 into equation 2, it becomes
7 × 7.17 + 6y = 152
50.19 + 6y = 152
6y = 152 - 50.19 = 101.81
y = 101.81/6 = 16.97
8 because 18+14 =32 then divide 32 by 2. Then 18-14= 4 then multiply that by 2 and you get 8. 16 -8 = 8
Step-by-step explanation:
42
=21+21
=42
OR
10+32
=42
D:The circumference string is 3.14 times longer than the diameter string.
Answer:
Step-by-step explanation:
If A and B are nxn matrices then tr(AB)=tr(BA)... Hypothesis (1)
Prove:
A is similar to B
⇒There exists an invertible n-by-n matrix P such that B=P^{-1}AP.
⇒ tr[B]=tr[P^{-1}AP]
⇒tr[B]=tr[(P^{-1}A)P] Matrix multiplication has the associative property
⇒tr[B]=tr[P(P^{-1}A)] Using hypothesis (1)
⇒tr[B]=tr[(PP^{-1})A] Matrix multiplication has the associative property
⇒tr[B]=tr[IA] I is the identity matrix
⇒tr[B]=tr[A]
