Answer:
D: 1/35
Step-by-step explanation:
First, you have to know how many marbles there are, and if you count them all up there are 15 marbles in total. Next, there are 3 blue marbles, so you would put the fraction as 3/15, or simplified to 1/5. Now, if you don't replace that blue marble, you now only have 14 marbles, and there are 2 yellow, which means you have a 2/14 chance of drawing a yellow marble, simplified to 1/7. But because there are two parts of the problem you are going to multiply 1/5 by 1/7 to get 1/35, which is your answer.
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
So, standard form basically takes the shape of Ax+By=C. You want all of your variables to be on the left side and your constant on the right. There can also be no fractions!
In your case, since you didn't mention a y value for y, your line is y=-3/2x+6
first we get rid of the fraction by multiplying both sides of the equation by 2:
(2)y= (-3/2x+6)(2) and get
2y=-3x+12
now all there is left to do is get x to the other side by adding it to both sides:
3x+2y=12 is your final answer
Answer:
(-4,6)
Step-by-step explanation:
y=6
5x+5(6)=10
5x+30=10
5x=-20
x=-4
(x,y)
(-4,6)
