X/4 = 8
multiply both sides by 4 to get the value of x
x=32
Answer:
Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.
Each rug is 1/8 of the floor space. So, 4 rugs would cover half of the floor space. Multiply, then reduce.
4(1/8)=4/8 or 1/2
Answer:
20 Bicycles
Step-by-step explanation:
The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:
The minimum value of C occurs at the axis of symmetry.
Axis of Symmetry, 
Comparing with the standard form of a quadratic equation 
a=0.5, b=-0.2
x=0.2 Hundreds =0.2 X 100 =20
When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.
Answer: it will take them 28 minutes to fill the tank.
Step-by-step explanation:
The first pipe alone can fill the tank in 84 minutes. This means that the rate at which the first pipe fills the tank per minute is 1/84
The second pipe can fill the tank in 42 minutes by itself. This means that the rate at which the second pipe fills the tank per minute is 1/42
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined rate of filling the tank would be
1/84 + 1/42
Assuming it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,
1/84 + 1/42 = 1/t
3/84 = 1/t
t = 84/3
t = 28 minutes
