Answer:
Using 5.25 cups of flour would make 3 batches of cookies. He made 180 cookies.
Step-by-step explanation:
To see how many batches you make all you do is take the 5.25 and divide it by 1.75 because thats how much it takes to make 1. When you divide it you get 3. If there are 5 dozen in each batch thats 60 cookies because 1 dozen is 12. Then,since he made 3 batches you multiply the 60 by 3 and you get 180.
Hope this helps!
You should place 4 red beads and 10 yellow beads into the container. This satisfies both, the ratio and the amount of beads in each container
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.
Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
Answer:
5x² - 31x + 30
Step-by-step explanation:
(5 - x)(6 - 5x)
= 30 - 25x - 6x + 5x²
= 30 - 31x + 5x²
= 5x² - 31x + 30
