Answer:
A
Step-by-step explanation:
Given the 2 equations
4x + 5y = - 12 → (1)
- 2x + 3y = - 16 → (2)
Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)
- 4x + 6y = - 32 → (3)
Add (1) and (3) term by term
11y = - 44 ( divide both sides by 11 )
y = - 4
Answer:
<em>56 adult tickets were sold</em>
Step-by-step explanation:
Ratio of ticket sold to Children and adult is in the ratio 4 : 7
Total ratio = 4 +7 = 11
Ratio of adult = 7
Total ticket sold = 88
Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold
Number of adult tickets sold = 7/11 * 88
Number of adult tickets sold = 7 * 8
Number of adult tickets sold = 56 tickets
<em>Hence 56 adult tickets were sold</em>
Answer: -2
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Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.
Repeat the same steps as before to find that (8,4) is also on the parabola
We need to find the slope of the line through (4,12) and (8,4)
m = (y2 - y1)/(x2 - x1)
m = (4-12)/(8 - 4)
m = -8/4
m = -2
The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.
The line goes down 2 units each time you move to the right 1 unit.
The rhombus is shown in the diagram below
The length of one side of the rhombus is 5 units, hence all the other sides are also 5 units each.
85000+3500+10000=98500 is a historic price of equipment. Annual depreciation is (98500-15000)/5=83500/5=16700. At december 31 2016 will be gone 2 years-2015 and 2016. So the accumulated depreciation will be 2*16700=33400
