Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Number of boys added: 18
</em>
- <em>Ratio of boys to girls: 5:4
</em>
So, the total number of boys is:
x + 18
Number of girls = y
Number of boys / number of girls = 5/4
(x+18) /y = 5/4
Solving for "y"
4 (x +18) =5 y
4x +72 = 5y
(4x +72) /5 = y
The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Answer:
x=15/8
Step-by-step explanation:
Inverse variation is given by
xy = k
Substituting x=5 and y=12
5*12 = k
60 =k
Our original equation is xy = 60
Now let y=32
x*32 = 60
Divide each side by 32
32x/32 = 60/32
Divide top and bottom by 4
x = 15/8
Answer:
y+8=-2(x-4)
Step-by-step explanation:
point-slope form is y-y1=m(x-x1) where m is the slope, and (x1,y1) is a point.
We are given all of that information:
slope: -2
point: (4,-8)
substitute the numbers into the equation
y--8=-2(x-4)
we can make --8 to positive 8
so:
y+8=-2(x-4)
this is the equation in point-slope form
Hope this helps!
Answer: 
Step-by-step explanation:
As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.
Using the identity 
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