Answer:
1. x = {1.5, 0.2}
2. x = 1
Step-by-step explanation:
Answer:
That would be A) -3/5.
Step-by-step explanation:
Here it is.
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle:
, where
is the radius (diameter ÷ 2) and the
is alterable.
1) Substitute the given values into the formula.
= 
2) Solve it.
= 
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
Answer:
.08cm or 0.08cm
Step-by-step explanation:
First of all, we can see that 20mm is in millimeters, not centimeters.
If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.
There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.
So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.
The formula for the volume of a cuboid is: 
We have the width, length, and volume, so let's plug it in.

To solve for h:
1. Multiply 20 and 100
2. Divide both sides by 2200

3. Divide right side
h = 0.8
Keep in mind that this is in millimeters. In centimeters, it would be .08