Answer:
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
5y - 8 = 3y + 1 Add 8 to both sides
5y = 3y + 1 + 8 Subtract 3y from both sides
5y - 3y = 9 Combine
2y = 9 Divide by 2
2y/2 =9/2
y = 4. 5
5y - 8 =
5(4.5) - 8 =
22.5 - 8 =
14.5
That represents 1/2 of MO
MO = 2 * 14.5
MO = 29
Answer:
1) 
2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Step-by-step explanation:
1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Answer:
The factors are (5x + 3) and (2x + 1)
Step-by-step explanation:
When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.
The general form of a quadratic is ax² + bx + c
Factor: 10x² + 11x + 3
Here a = 10, b = 11, and c = 3
Step 1: Multiply ac, we SLIDE a over to c. Notice the 10 is gone for now..
x² + 11x + 30
Step 2: Factor this (this step will always factor)
x² + 11x + 30 = (x + 5)(x + 6)
So the factors are (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before. We divide the constants in the factors...
(x + 5/10 )(x + 6/10 )
Now reduce the fractions as much as possible...
(x + 1/2 )(x + 3/5)
*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....
(2x + 1)(5x + 3) *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!
These are our factors!
They are acute angels cause there smaller than 90