Please Answer Quick 70 Points !
1 answer:
Answer:
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
Step-by-step explanation:
we have
-----> First equation
-----> Second equation
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (1,7)
The ordered pair (7,19) lie on the first line, so is a solution of the first equation
see the attached figure
<u><em>Verify each statement</em></u>
case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The statement is true
case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true
The statement is false, because the ordered pair (7,19) not lie on the second line
case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
The statement is true
case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true
The statement is false,because it makes only the first equation true
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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.