Answer:
The answer is D
Step-by-step explanation:
Answer:
the answer is the last option. p <_ 48
blue), and
• put a blue marble in the bag if the two marbles you drew are different colors.
Repeat this step (reducing the number of marbles in the bag by one each time) until only one
marble is left in the bag. What is the color of that marble?
The final marble left in the bag will be red.
Let, analyze the process step by step:
Initially, the bag contains 99 red marbles and 99 blue marbles.
When you take two marbles out of the bag, there are two possibilities: either you get two red marbles or two blue marbles, or you get one red and one blue marble.
a. If you get two marbles of the same color (both red or both blue), you put a red marble in the bag.
b. If you get one red and one blue marble, you put a blue marble in the bag.
After putting a marble back in the bag, you have one less marble in the bag.
You repeat this process, reducing the number of marbles in the bag by one each time, until only one marble is left in the bag.
Now, let's think about the outcomes at each step:
If the bag contains an odd number of marbles (99 red + 99 blue = 198), the final marble will be red because at each step, you are adding a red marble back to the bag.
If the bag contains an even number of marbles (e.g., 100 red + 100 blue = 200), the final marble will be blue because at each step, you are adding a blue marble back to the bag.
In this case, the bag contains 99 red marbles and 99 blue marbles, which is an odd number (198 marbles).
Therefore, the final marble left in the bag will be red.
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Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
52º + 90º = 142º
142º - 180º = 38º
180º - 38º = 142º
To solve the problem, create the equation 2(x + 2) = 3x - 6. Simplify the equation and solve for x to find the number.
To solve this problem, we can create an equation based on the given information. Let's call the number we're trying to find 'x'. The sum of the number and two can be written as (x + 2). Doubling this expression gives us 2(x + 2). 'Six less than three times the number' can be written as 3x - 6. So, we have the equation 2(x + 2) = 3x - 6. Solving this equation will give us the value of the number 'x'.
Expanding the equation, we get 2x + 4 = 3x - 6. Simplifying it further, we can subtract 2x from both sides to get 4 = x - 6. Adding 6 to both sides gives us 10 = x. Therefore, the number we're looking for is 10.
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3
B.
2
C.
-0.5
D.
-3
Answer:
3
Step-by-step explanation:
Given :
To Find: What is the coefficient of x in the division
Solution:
On Dividing we
Quotient = 3x+2
Remainder = -3x
So, coefficient of x in quotient = 3
Thus the coefficient of x in the division is 3
Hence Option A is correct
Answer:
-27
Step-by-step explanation:
(-3)³ = -3 · -3 · -3 = 9 · -3 = -27