Answer:
x=5, y=8
Step-by-step explanation:
x+y=13
2x-y=2
add these two equations
3x=15
therefore x=5
apply this value in x+y=13
5+y=13
then y=13-5 = 8
Answer:
<h3>x^2+3x-12/(x+3)(x-5)(x+7)
</h3>
Step-by-step explanation:
<h3>D</h3>
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
So,
The probability of drawing a yellow marble is

.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:

.
The probability of drawing a red marble is

.
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
Answer: 15in^2
Step-by-step explanation:
first you need to find the area of the rectangle, so you would multiply 7 and 3, which gives you 21, (A=L•W). So now you need to find the area of the triangles, the formula for that is A= 1/2 b•h, so you get 3in for the area of the triangle, but since there are two and they are the exact same triangle you would just combine them, so the area for both triangles is 6in, so then you would need to subtract the 6 from the 21 so that you can find the area of the shape, and your final answer would be 15in(squared). hopefully you understand