Answer:
The probability that the sum of the dice is 3, is 3/16.
Step-by-step explanation:
It is given that two four-sided dice are rolled.
Total number of sides of each dice = 4
Possible values for each dice = 1,2,3,4
If two four-sided dice are rolled, then the total possible outcomes are

Total number of possible outcomes = 16
The sum of the dice is 3.

Total number of favorable outcomes = 3
The probability that the sum of the dice is 3.

Therefore the probability that the sum of the dice is 3, is 3/16.
Answer:
this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2
Step-by-step explanation:
lot 1- lot 2-
3:4 2:3
if both have 12 trucks, you need to multiply the number of cars with the number you used to make the trucks 12
3:4 would turn into 9:12
2:3 would be 8:12
this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22
Answer:
x=3.5
Step-by-step explanation:
12x=4(x+2)+20
multiply the parentheses by 4
12x = 4x+8 +20
add 20 to 8
12x = 4x +28
subtract 4x on both sides
8x = 28
divide both sides by 8
x=3.5