3/20, 6/20, 9/20, 12/20 so the common difference is 3/20, ie each term is 3/20 greater than the term preceding it. Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number, in this case:
a(n)=3/20+(3/20)(n-1)
a(n)=3/20+3n/20-3/20
a(n)=3n/20 so the 5th term is:
a(4)=3*5/20=15/20=3/4
2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.
Therefore, she will use 10 pounds of apples.
Answer:
y = -1/2x + 6
Step-by-step explanation:
Find the slope
( 5 , 2) ( -3 , 6)
m =( y2 - y1 )/ ( x2 - x1)
x1 = 5
y1 = 2
x2 = -3
y2 = 6
m = ( 6 -2)/(-3 - 5)
m = 4/-8
m = - 1/2
Substitute m into the equation of a line
y = mx + c.
y = -1/2x + c
Substitute any of the two points given into the equation
Let's pick (2 ,5)
x = 2
y = 5
y = -1/2x + c
5 = -1/2(2) + c
5 = -1*2/2 + c
5 = -2/2 + c
5 = -1 + c
c = 5 + 1
c = 6
y = -1/2x + 6
The equation of the line is
y = -1/2x + 6
Solve for y on one of the questions. I'll do the second one. it will be y=3.25x+0.75. Plug it in for y in the other problem like this: -4.5x-2(3.25x+0.75). Solve. X= 5.5 and Y=18.625
Answer:
437-418=19
Step-by-step explanation:
418+19=437
