Answer:
76.55
Step-by-step explanation:
To see how much Thomas has you have to do 200.00 + 48.75 x 3 = 146.25 - 69.70 = 76.55
Answer:
B&D
Step-by-step explanation:
i think this is correct, if not let me know, correct me.
Answer:
A) $15t - $700 ≥ $1000
B) At least 114 tickets
C) As the attached graph
Step-by-step explanation:
The 7th grade class is putting on a variety show to raise money.
It cost $700 to rent the banquet hall that they are going to use.
If they charge $15 for each ticket,
We are to find how many tickets they need to sell in order to raise at least $1000.
Let the number of tickets they need to sell be t.
The inequality that represents this situation is;
$15t - $700 ≥ $1000
The least number of tickets they can sell is;
$15t ≥ $1000 + $700
$15t ≥ $1700
t ≥ 113.3333 (rounded to four decimal values)
But since we can have 0.3 tickets the class will have to sell at least 114 tickets
The graphed situation is as attached. We need the shaded region.
The horizontal function is x(t) = 8·t
The vertical function is y(t) = -16·t² + 100
A) The answer is: it takes her
2.62 time units to reach the ground.
The time taken to move horizontally is equal to the time taken to move vertically from the cliff to the ground, therefore, we can set:
8·t = -16·t² + 100
and solve for t:
16·t² + 8·t - 100 = 0
4(4·t² + 2·t - 25) = 0
4·t² + 2·t - 25 = 0


t₁ = (-1 + √101) / 4 = 2.62
t₂ = (-1 - √101) / 4 = - 2.76
We cannot accept negative times, therefore the solution is
t = 2.62 time-units.
B) The answer is: she lands
20.96 distance-units from the cliff.
In order to find the distance travelled, substitute the time taken found in point A into the equation of the horizontal movement (using the vertical one you would calculate the height of the cliff):
x(t) = 8·t
x(2.62) = 8 · 2.62 = 20.96
Hence, Lukalu lands
20.96 distance-units from the cliff.