(2−2n)−(5n−27) >0
distribute
2-2n -5n +27 >0
combine like terms
-7n +29 >0
subtract 29 from each side
-7n> -29
divide by -7 (flips the inequality)
n < -29/-7
n <4.14
natural numbers are 1,2,3,4......
n must be 1,2,3,4
Answer: 1,2,3,4
Solution:
Area of parallelogram
= b × h
= 20 × 16
= 320 in^2
Area of triangle
= 1/2 × 20 × 8
= 80 in^2
Area of figure
= 320 + 80
= 400 in^2
Step-by-step explanation:
picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.
There are 26 letters in alphabet
number of consonants = 21 and number of vowels = 5
We need to pick 3 consonants from 21 consonants
Probability of picking 1 consonant from 26 alphabets = 21/ 26
after picking 1 consonant then number of consonant becomes 20
Probability of picking second consonant from 25 alphabets = 20/ 25
Probability of picking third consonant from 24 alphabets = 19/ 24
We need to pick 2 vowels from 5 vowels
Probability of picking 1 vowel from remaining 23 alphabets = 5/ 23
Probability of picking second vowel from remaining 22 alphabets = 4/ 22
Now multiply all the probabilities

= 0.02022
Ok so use calculator type in 900 divided by 100 would equal 9 so the answer is 95%
Answer:
10.3 miles
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 5^2 = c^2
81 + 25 = c^2
106 = c^2
the square root of 106 and c^2 is approximately c = 10.3