Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
Answer:
The answer is "
"
Step-by-step explanation:
In this question, the image file is missing, which is defined in the attached file. please find it.
Answer:
7.79
Step-by-step explanation:
Answer:
New balance = -151.89 + 4.5x
(where x is the value of the smaller deposit)
Step-by-step explanation:
The inicial balance was -126.89.
Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.
Then, the customer made a withdraw of $25.
So, The new balance can be calculated as:
New balance = inicial balance + x + 3.5x - 25
New balance = -126.89 + 4.5x - 25
New balance = -151.89 + 4.5x
120 barrels x 12 quarts per barrel = 1440 total quarts
1440 quarts / 11 quarts per hour = 130.91 hours to fill all the barrels
1 day = 24 hours
130.91 hours / 24 hours = 5.45 days = 5.5 days
