Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
Solving the system of equations we get solution set (38/11,26/11)
Step-by-step explanation:
We need to solve the system of equations:
Let:
Multiply equation 2 with 5 and subtract both equations to find value of x:
So, value of x = 38/11
Now, finding y:
Putting value of x in equation 2
So, value of y = 26/11
So, Solving the system of equations we get solution set (38/11,26/11)
Keywords: System of equations
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Since the required number is between 234 and 250, then the first digit of the number is 2 and the second digit can either be 3 or 4.
Let the second and the third digits be x and y respectively, then
2 + x + y = 2y
Consider when the second digit is 3, then
2 + 3 + y = 2y
5 = y
Thus, the number is 235.
Similarly, consider when the second digit is 4, then
2 + 4 + y = 2y
6 = y
Thus, the number is 246.
Since the required number is an even number, therefore, Isabel's number is 246.
Answer:
The height of the tank in the picture is:
Step-by-step explanation:
First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:
- <em>1 liter = 1000 cm^3</em>
So:
- <em>1.2 liters = 1200 cm^3</em>
Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:
- Volume of a cube = long * wide * height
Now, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
- Height = 1200 cm^3 / (12 cm * 8 cm)
- Height = 1200 cm^3 / (96 cm^2)
- Height = 12.5 cm
Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:
- Heigth of the tank = Height empty zone + height zone with water
- Heigth of the tank = 12.5 cm + 7 cm
- <u>Heigth of the tank = 19.5 cm</u>
In this form, <u>we calculate the height of the tank in 19.5 cm</u>.
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
