Answer:
The system of equation to model the situation are:
C = 10t + 8
C = 12t
Step-by-step explanation: Complete question ( Let C be the total cost and let t be the number of tickets).
Ordering tickets online cost $10 plus additional service charge of $8.
Therefore total cost,C = 10t + 8
Buying tickets at the door cost $12
Therefore, total cost,C = 12t
The system of equation to model the situation are:
C = 10t + 8
C = 12t
State C spent $28.3 million and State D spent $26.3 million.
Step-by-step explanation:
Total spent for tourism = $54.6 million
Let,
The amount spent by State C = x
The amount spent by State D = y
According to given statement;
x+y = 54.6 Eqn 1
x=y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=26.3 in Eqn 2
State C spent $28.3 million and State D spent $26.3 million.
Keywords: linear equations, substitution method
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The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
The density of the gold sample is 19.3g/cm³
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Answer:
The friend caught the ball at 2 feet.
Step-by-step explanation:
1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.
2. False; the x-component of the vertex is 0.5
3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.
4. False; when x = 0, y = 2.
Answer:
105 shifts
Step-by-step explanation:
Hourly net rate of pay = $12
1 shift = 8 hours
⇒ net pay per shift = $12 × 8 = $96
Total cost = tuition + residence + books
= $4500 + $4800 + $700
= $10,000
To calculate how many shifts Joanne needs to work, divide the total cost by the pay per shift and round it up:
Number of shifts = total cost ÷ net pay per shift
= $10,000 ÷ $96
= 104.1666666...
= 105 shifts
<u>Note</u>: we need to round up, as if Joanne works 104 shifts, she will earn $9,984 which is not quite enough to pay for tuition, residence and books.
