Answer:
D 4/121
C 14/55
Step-by-step explanation:
The total number of tiles in mathematics is 11
P(a) = number of a's/ total = 2/11
We replace the tile
so there are 11 tiles and the are mathematics
P(a) = number of a's/ total = 2/11
P(a, replace then a) = 2/11 *2/11 = 4/121
P(vowel) = vowel/total = 4/11
We keep the vowel so there are only 10 tiles
3 vowels and 7 consonants
P( consonants) = consonant/total = 7/10
P(vowel, no replace, consonant) = 4/11*7/10 = 14/55
![\begin{gathered} \text{Car A travels 308 miles on 11 gallons, so, the ratio of miles per galon is} \\ \frac{308}{11}=28\text{ miles per gallon} \\ \\ \text{for the car B, the ratio is} \\ \frac{406}{14}=29\text{ miles per gallon} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BCar%20A%20travels%20308%20miles%20on%2011%20gallons%2C%20so%2C%20the%20ratio%20of%20miles%20per%20galon%20is%7D%20%5C%5C%20%5Cfrac%7B308%7D%7B11%7D%3D28%5Ctext%7B%20miles%20per%20gallon%7D%20%5C%5C%20%20%5C%5C%20%5Ctext%7Bfor%20the%20car%20B%2C%20the%20ratio%20is%7D%20%5C%5C%20%5Cfrac%7B406%7D%7B14%7D%3D29%5Ctext%7B%20miles%20per%20gallon%7D%20%5Cend%7Bgathered%7D)
thus, the best car is car B,because it can tavel 29 miles with only one gallon,andcar A can only travel 28 miles with one gallon.
First, you know that 3/4 = .75. Now we can distribute. multipy -10*.75. Then multiply .75*2/5. Add those two answers together to get your final answer.
Answer:
50 inches.
Step-by-step explanation:
Let the length of the each ribbon was x.
Now, she cuts 9 pieces of same length L which means total length is 9L.
Now, doing the same she was left with 5 inches of ribbon. Hence, we have
[tex[9L+5=x.....(1)[/tex]
Similarly, we can write a equation for the second situation.
![2L+40=x......(2)](https://tex.z-dn.net/?f=2L%2B40%3Dx......%282%29)
From equation 1 and 2,
![9L+5=2L+40\\\\7L=35\\\\L=5](https://tex.z-dn.net/?f=9L%2B5%3D2L%2B40%5C%5C%5C%5C7L%3D35%5C%5C%5C%5CL%3D5)
Plugging this value in equation 1,
![9(5)+5=x\\\\x=45+5\\x=50](https://tex.z-dn.net/?f=9%285%29%2B5%3Dx%5C%5C%5C%5Cx%3D45%2B5%5C%5Cx%3D50)
Therefore, the length of each ribbon when she bought them was 50 inches.