Answer:
1 and 5. Can I get a brainliest???
Step-by-step explanation:
Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
3x+6=288
3x=282
x=94
the three numbers are 94, 96, and 98
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
The required system of equations is
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:
I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:
Adding eq(1) and eq(2)
Putting value of x=1 into eq(1) to find value of y
The solution set after solving system of equations is (1,4).
The required system of equations is
Keywords: System of equations
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Answer:
cos α = 8/17
Apply Pythagoras theorem for triangle ,
Let get unknown side of triangle is y
17^2 = 8^2 + y^2
17^2 - 8^2 = y^2
225 = y^2
y = sqrt(225)
y = 15
tan α = 15/8
Step-by-step explanation: