Answer:
400.00
Step-by-step explanation:
Answer:
1680
Step-by-step explanation:
nPr = n!/(n-r)!
Therefore;
8P4 = 8!/(8-4)!
we get;
= 8!/4!
= (8×7×6×5×4×3×2×1)/(4×3×2×1)
= 40,320/ 24
= 1680
Answer:
The symphonic choir can record a maximum of 14 songs.
Step-by-step explanation:
We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of song minutes.
If we call the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are ; therefore, we have the inequality
<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>
We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:
The maximum integer value can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.
Answer:
Reflect over the y-axis
Step-by-step explanation:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).
Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.
The reflection of the point (x,y) across
the y-axis is the point (-x,y).
Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20