Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
=> equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
=> equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × 
1 × 
Thus:
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1


Subtract both sides by 15


The ordered pair would be (15, 12)
Answer: 461.60 is the volume of liquid the tank can hold.
Step-by-step explanation:
We were given;
Height H = 9 ft
Diameter D = 14 ft
Pie π = 3.14
We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone
So
V = 1/3 * πr2h
First we need to find our radius r
Radius = 1/2 of diameter = 14/2 = 7
So using the formula
V = 1/3 * πr2h
V = 1/3 (3.14 * 7² * 9)
V = (3.14 * 49 * 9)/3
V = 1384.74 / 3
V = 461.58 = 461.60 (nearest ten)
12x-4y=16
Isolate Y:
Subtract 12x from both sides
-4y=-12x+16
Divide by -4
y=3x-4
Therefore the slope is 3
Answer:
0.07kg
Step-by-step explanation:
1kg = 1000g
so grams/1000 =kg
70/1000 = 0.07kg