Answer:
A + 1.50r = 26.00
Step-by-step explanation:
A is the admission price, which is $15.50. So A = 15.50. Substitute 15.50 for A and subtract 15.50 from each side
A + 1.50r = 26.00
15.50 + 1.50r = 26.00
1.50r = 10.50
Divide each side by 1.50.
1.50r = 10.50
r = 7
Mark can ride 7 rides in one day.
Answer:
Graph B
The graph matches the data on the frequency table.
Answer:
x = 5
Step-by-step explanation:
4x + 2y + z = 24
2x - 3y - z = 2
5x + y + 2z = 21
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Eliminate z
Add the 1st and 2nd eqn
4x + 2y + z = 24
2x - 3y - z = 2
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6x - 1y = 26 eqn A
Multiply the 2nd eqn by 2, then add the 3rd.
4x - 6y -2z = 4
5x + y + 2z = 21
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9x - 5y = 25 eqn B
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Now you have 2 eqns in 2 unknowns, not 3.
Multiply eqn A by 5 and subtract eqn B.
30x - 5y = 130 eqn A times 5
9x - 5y = 25 eqn B
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21x = 105
x = 5
The ratio of the trout with tags that are caught and the total trout with tags is first calculated.
r = 12 trout / 180 trout = 1/15
Then, we divide the number of trouts caught without tag by the value obtained above.
N = (48 - 12) / (1/15) = 540
Then, we add the number obtained above and 180.
T = 540 + 180 = 720
ANSWER: 720
