Answer:
x=20
Step-by-step explanation:
Rewrite the equation as
x
/32
=
5/
8
Multiply both sides of the equation by 32
32 ⋅ x /32 = 32 ⋅ 5/8
Simplify both sides of the equation.
Cancel the common factor of
32
Cancel the common factor.
<h3><u>
32·</u> x/<u>32</u> · 5/8
</h3>
Rewrite the expression.
x = 32 ⋅ 5/8
Simplify
32⋅5/8
Cancel the common factor of
8
Factor 8 out of 32
x = 8 ( 4 ) ⋅ 5/8
Cancel the common factor.
Rewrite the expression.
x = 4 ⋅ 5
Multiply 4 by 5
First you need to subtract the 29 and the 8 - equals 21
Then you subtract 7 and 4- equals 3
Lastly divide 21 and 3 and get the answer which is 7
Hope this helps.
When you have 3 choices for each of 6 spins, the number of possible "words" is
3^6 = 729
The number of permutations of 6 things that are 3 groups of 2 is
6!/(2!×2!×2!) = 720/8 = 90
A) The probability of a word containing two of each of the letters is 90/729 = 10/81
The number of permutations of 6 things from two groups of different sizes is
(2 and 4) : 6!/(2!×4!) = 15
(3 and 3) : 6!/(3!×3!) = 20
(4 and 2) : 15
(5 and 1) : 6
(6 and 0) : 1
B) The number of ways there can be at least 2 "a"s and no "b"s is
15 + 20 + 15 + 6 + 1 = 57
The probability of a word containing at least 2 "a"s and no "b"s is 57/729 = 19/243.
_____
These numbers were verified by listing all possibilities and actually counting the ones that met your requirements.
Any angle that is bent at 45 degree, 90 degree,180 degree are called benchmark angles. Obtuse angle, Acute angle, Right angle, Straight angle are called benchmark angles
Divide that number by 12 for the answer
