Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
26.75
Step-by-step explanation:
There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.
The first is A=(b*h)/2
In this case you need to find the height using a²+b²=c²
Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.
3.8²+x²=8²
14.44+x²=64
x²=49.56
x=7.039 -now you have the height for the triangle and can use this to find the area
A=b*h (in this case we dont have to divide by two since we need two triangles because we split the original in two to find the base of 3.8)
so it's 3.8*7.039=26.75
(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"
It will teach you the formula 
which teaches you to find the area of any triangle when all you are given is three sides
If the dice is only rolled once, the possibility of getting less than7 is100%
The solution to the system of linear equations is: (−5, −11).
<h3>What is the Solution to the System of Linear Equations?</h3>
The solution to a system is the x and y -coordinates that satisfies the two linear equations.
Given the linear equations:
Line A: y = x − 6
Line B: y = 3x + 4
Now, equating these two equations
x - 6 = 3x + 4
2x = -10
x = -5
y = -11
Hence, the solution is: (−5, −11), because the point satisfies both equations.
Learn more about solution to a system here:
brainly.com/question/13729904
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