Answer:
A
Step-by-step explanation:
...
Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,

Put all the values to find P.

So, the flag pole is 38.96 feet tall.
We know that
<span>The absolute value of a number is its size. For positive numbers the size is the same as the number. For negative numbers it is the corresponding positive number.
</span>
in this problem
<span>|-8|</span>=8
<span>
the answer is
8
</span>
Answer:
a)
0.8 hours
b)
1.1 kilometers/min
Step-by-step explanation:
a)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = 60 kilometers per hour
t = time taken for the train to travel from town A to town B
Time taken is given as
t = D/v
inserting the values
t = 45/60
t = 0.8 hours
b)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = ?
t = time taken for the train to travel from town A to town B = 40 minutes
Speed of the train is given as
v = D/t
inserting the values
v = 45/40
v = 1.1 kilometers/min