Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel
Let that certain number be 'n'
50% (n) = 39
50% ⇒ 0.5
0.5 (n) = 39
Divide both sides by 0.5
0.5n = 39
/0.5 /0.5
n = 78.
So that certain number is actually <em><u>78! :)</u></em>
CROSS CHECK:
50% of 78
0.5 × 78
= 39
Hope this helps! :)
Answer:
148°
Step-by-step explanation:
x = 180 - 32 = 148°
(Supplementary angles)
Answer:
Step-by-step explanation:
The volume of a cube is given by the formula :
a³ (where a is the side length )
So now we have to cube these lengths :
Part A :
(3x²y)³ =
(3x²y)(3x²y)(3x²y) =
(9x^4y²)(3x²y) =
27x^6y³ (This is now fully simplified so our final answer for a)
Part B:
(5y²)³ =
(5y²)(5y²)(5y²) =
(25y^4)(5y²) =
125y^6 (This is now fully simplified so our final answer for b)
Hope this helped and have a good day
