208- ( 2* 46)= X
208- 92=2x
x=58
The length is 58cm.
Check by:
58*2 +46*2
116+92= 208
Answer:
-5 - 3x > 10
Step-by-step explanation:
x = -6
Plug in the x value for each inequality:
-5 - 3(-6) > 10
-5 + 18 > 10
13 > 10
True
-3 - 5(-6) < -14
-3 + 30 < -14
27 < -14
False
1 - 2(-6) > 13
1 + 12 > 13
13 > 13
False
2 - (-6) < -3
2 + 6 < -3
8 < -3
False
Only one of these is true; that is the answer.
Well a yard is 3 ft
so divide 3 into 13
3 goes into 13 4 times and you get 12
you have 4 whole yards and 1 ft left or 1/3 of a yard.
:) hoped this helped
7/63 can be simplified down to 1/9 because if you were to multiply 7 by 9 you would get 63? or an easier way to do it would be to divide 63 by 7
Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
