Answer:
x=20
Step-by-step explanation:
we know that
the fourth point is plotted 5 units to the right of (-4,4)
so
the coordinate x of the fourth point is equal to
-4+5=1
the y-coordinate of the fourth point is the same y coordinate of (-4,4)
therefore
the coordinates of the fourth point is (1,4)
How many males and how many females would there be if the total enrollment is 15000?
Ratio is
90 males 15000 - x
------------- = ---------------
125 fem x
Then 90x = 1875000 - 125x, or 215x = 1875000
x = approx 8720 females
and 15000-8720, or 6279 males
If every male finds a dance partner, that would leave (8720-6279) females, or 2440, without dance partners. ;(
Check: is the male:female ratio near 90:125?
Is 6279:8720 approx equal to 90:125?
Yes. 0.72 (approx) = 0.72 (approx).
Answer:
B) 1.75 + 0.45m = 13.90
Step-by-step explanation:
To calculate the Taxi fare, we need to sum the fixed charge and the additional charge. Fixed charge ever is $1.75. The additional charge changes with the miles traveled (one mile costs $0.45, two miles $0.90, and so on), so we need multiply the charge ($0.45) by the miles m traveled.
1.75 + 0.45 m
The problem says that the fare was equals to $13.90 so the final equation is
1.75 + 0.45m = 13.90
Answer:
Step-by-step explanation:
The rate of change is equal to (y2-y1)/(x2-x1) where (x1,y1)=((0,150) and (x2,y2)=(5,0). Therefore the rate of change equals (0-150)/((5-0)=-30 songs/week. This is equal to the slope of the line that goes through these two points. The initial value is the y coordinate of the point when x=0 which is 150. The equation of the line is y=-30x+150, and this is the slope-intercept form (y=my+b) where m is the slope of the line and b is the y-intercept.
