The translations would be this
1) reflection over the x-axis
2) translation of (-6,0)
1) JPR, JRP, PJR, PRJ, RJP, RPJ
2) To start with there are 4 green marbles and a total of 6 marbles.
First drawing: p(green) = 4/6 = 2/3
He replaces the first marble, so for the second drawing he has again 4 green marbles out of a total of 6 marbles.
p(green) = 4/6 = 2/3
The combined probability is the product of the 2 probabilities.
p(green followed by green) = p(green) * p(green) = 2/3 * 2/3 = 4/9
3)
Total number of combinations of 3 different shirts and 2 pairs of pants is 3 * 2 - 6. You are interested in a single combination out of a possible 6.
p(white shirt & tan pants) = 1/6
Formula for the rectangle area is a * b, In this case we know that:
a * b = 180
a (width) = unknown
b (length) = 1 1/4a
We can write it down as:
a * 1 1/4 * a = 180
a² * 1 1/4 = 180 / ÷ 1 1/4 (both sides)
a² = 144 / square root (both sides)
a = 12
Doublecheck:
a = 12
b = 1 1/4 * 12 = 15
a * b = 12 * 15 = 180 (so it's correct)
Answer: The dimensions of the painting are <u>12 x 15 inches</u>.
Answer:
2
Step-by-step explanation:
We can set up equation for this one.
Let's say the number is X.
the sum of X and 14 can be expressed as : X+14
five times the sum of X and 14 can be expressed as 5(x+14)
and 5(X+14) = 80
The number is 2
Answer: y = 3x -4
Step-by-step explanation:
the slope is 6/2 or 3 and y when x is 0 is -4. Hope this helps!
