Answer:
34 apples
Step-by-step explanation:
To answer: try setting up each of the equations for Annie and Eva.
Annie: 2(bag) + 5
Eva: 1(bag) + 11
Those two equations equal each other. So set that up:
2(bag) + 5 = 1(bag) + 11
Now solve for the size of the bag.
2(bag) - 1(bag) = 11 - 5
1(bag) = 6 apples
Now substitute 6 back into either equation to determine number of apples.
Annie: 2(6) + 5 = 12+5=17
They each have 17, so there are 34 apples in total.
Answer:
1.
Part A: Yes, it is (a - b)².
Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.
Part C: x² - 12x + 36.
2.
Part A: Not a special product.
Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.
Part C: x² + 9x + 8.
3.
Part A: Yes, it is (a + b)²
Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.
Part C: 9x² + 12x + 4.
4.
Part A: Yes, it is (a + b)(a - b), a difference of squares.
Part B: a² - b² => 4x² - 49
Part C: 4x² - 49
5.
Part A: Not a special product.
Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.
Part C: 2x² - 15x + 25
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
Answer:
3/1 I am not absolutely sure though...
This can be done without exponential equations.
It doubles every 12 years so it has doubled in price
5,000 * 2 = 10,000
After 36 years the value has increased 8 times
5,000 * 8 = 40,000
After 48 years the value has increased 16 times
5,000 * 16 = 80,000