Answer:2x/5-7+9x/2
Step-by-step explanation:
<span>The correct answer is option C. i.e. Statements 1 and 2 are postulates because they are true facts.A line must contain atleast two point because then only line can be formed. Similarly, a plane is formed when there are atleast three non-collinear points.</span>
You wanna get the y by itself. So you will subtract 11.9 then move it to the other side. so that is 10.5y = -11.9x +178.5. Then divide everything by 10.5. Then you get y = -11.9x/10.5+17. 11.9x/10.5 is because you cant put 10.5 into 11.9 evenly so you leave it as a division problem.
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12
![12(x+y=1360)\\12x+12y=16320\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=12%28x%2By%3D1360%29%5C%5C12x%2B12y%3D16320%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 2 from Eqn 3
![(12x+12y)-(8x+12y)=16320-13328\\12x+12y-8x-12y=2992\\4x=2992\\](https://tex.z-dn.net/?f=%2812x%2B12y%29-%288x%2B12y%29%3D16320-13328%5C%5C12x%2B12y-8x-12y%3D2992%5C%5C4x%3D2992%5C%5C)
Dividing both sides by 4
![\frac{4x}{4}=\frac{2992}{4}\\x=748](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B2992%7D%7B4%7D%5C%5Cx%3D748)
748 student tickets were sold.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
Distance around the track = 194.3 metres.
Step-by-step explanation:
Given: The two straight sides are of the track are 50 metres each
Diameter of each bend = 30 metres
Thus;
radius of the bends = ![\frac{diameter}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdiameter%7D%7B2%7D)
= ![\frac{30}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B2%7D)
= 15 metres
So that,
length of the semicircular bend =
x 2
r
=
r =
x 15
= 47.143
length of each semicircular bend is 47.14 metres.
Distance around the track = addition of the length of each straight sides + addition of the length of the bends
= 50 + 50 + 47.14 + 47.14
= 194.28
Therefore,
Distance around the track = 194.3 metres.