Answer:
11
Step-by-step explanation:
50-x=3(24-x)
50-x=72-3x
2x=22
x=11years ago when kate's father was 3 times as old as kate=11
To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:
-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2
Now that we have x, we can substitute it into one of the equations to find y:
y = -(-2) + 2
y = 2 + 2
y = 4
The last step is to substitute both values into both equations to see if they are correct:
4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True
Answer:
x = -2
y = 4
Answer:
22 m^2
Step-by-step explanation:
The area of the bottom rectangle is A = l*w
The length is 8 and width is 2
A = 8*2 =16
The area of the top rectangle is A = l*w
The length is 3 and width is 2
A = 3*2 =6
Adding the areas together
A = 16+6 = 22
Answer: y= - 2/3x+6
Step-by-step explanation:
Just plug in values into this equation (slope intercept form)
y=mx+b
3 is x value
4 is y value
m is the slope which is - 2/3
So after you plug in the values, solve for b ("b" is the y intercept):
4=-2/3(3)+b
4=-2+b
b=6
Then add in the b value into your equation and you will get y= - 2/3x+6
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
