Answer:
C) 12/20
Step-by-step explanation:
Between 1 and 20, 10 numbers are even, 4 numbers are perfect squares (1, 4, 9, and 16), and 2 numbers are both even and perfect squares (4 and 16).
So the probability is:
(10 + 4 − 2) / 20 = 12/20.
Answer:
100m^2
Step-by-step explanation:
square has equal sides.
To find the area of the square, the formula is:
Area= length times width
So for square ABCD, 10*10=100m^2
The slope of a line perpendicular to another is the negative reciprocal of the original. The negative reciprocal of -1 is 1. The equation will read:
y=x+b
To solve for the y-intercept (b), plug in the given values of x and y:
4=-2+b
<em>*Add 2 to both sides*</em>
D. 6
Hope this helps!!
Answer:
60 km/h
Step-by-step explanation:
Let us use the x to represent the speed of the car since it is the smaller value.
Then, the distance covered by the car is 4x since was going 4 kph.
The distance covered by the train is (x+5) times 7 or 7x+35.
We know that the total distance covered is 640 km.
Using this information, we can set up the equation 4x+7x+35=640.
By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.
After this, we divide both sides by 11 and get x=55.
Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.
Train=60 km/h
Step-by-step explanation:
x + y = 9. => 2x + 2y = 18.
2x + 2y = 18
- (2x - 3y = -12)
=> 5y = 30, y = 6.
Therefore x + (6) = 9, x = 3.
The solution is x = 3 and y = 6.
