Answer:
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Step-by-step explanation:
3 dozen chocolate chip cookies
3 cups of flour
1 cup of sugar
2 cups of chocolate chips
The recipe is for 3 dozen cookies as stated above.
If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.
That means you need 2/3 of all the ingredients.
2/3 × 3 dozen chocolate chip cookies
2/3 × 3 cups of flour
2/3 × 1 cup of sugar
2/3 × 2 cups of chocolate chips
We simplify the amounts to:
2 dozen chocolate chip cookies
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
If we start with 6 and 8, we can break 6 up into 2*3 and 8 into 2*2*2, thus getting a prime factorization of 2*2*2*2*3, or 2^4 *3.
If we begin with 4 and 12, 4 breaks into 2*2 and 12 into 2*2*3, so the prime factorization of 48 is still 2^4 *3.
The starting factors do not matter, since the answer comes out to be the same. There is exactly one correct answer- it doesn't matter how it's found.
Hope this helps! :)
Answer:
a. Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are
b. Theoretical Probability. Experimental Probability.
Use theoretical probability by counting the favorable outcomes and put that in a fraction above all possible outcomes.
Use experimental probability by comparing the number of times the event occurs to the total number of trials.
Step-by-step explanation:
I don't really know what to explain. :v
Answer:
-2y^2 -x^2 -5
Step-by-step explanation:
Just simplify everything. I recomend putting them in seperate groups. By exponent. Don't forget the signs, they are very important.