Answer:the number of hot dogs is 10
Step-by-step explanation:
Let x represent the number of hamburgers.
Let y represent the number of hot dogs.
The ratio of hamburgers to hot dogs is 6 to 5. This means that the ratio of x to y is 6/5
x/y = 6/5
5x = 6y
x = 6y/5
Three times the number of hot dogs is 6 more than twice the number of hamburgers. This means that
3y = 2x + 6 - - - - - - - - -1
Substituting x = 6y/5 into equation 1, it becomes
3y = 2(6y/5) + 6
3y = 12y/5 + 6
Multiplying both sides of the equation by 5, it becomes
15y = 12y + 30
15y - 12y = 30
3y = 30
y = 30/3 = 10
x = 6y/5 = 6×10/5
x = 60/5 = 12
Hello,
John : n
Brad : n + 12
n + n + 12 = 84
2n + 12 = 84
2n = 84 - 12
2n = 72
n = 72/2
n = 36
John $36 and Brad $36 + $12 = $48
Step-by-step explanation:
(1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Replace tanx with sinx/cosx:
(1-sinx/cosx)/(1+sinx/cosx)
Multiply numerator and denominator by cosx:
(cosx-sinx)/(cosx+sinx)
Multiply numerator and denominator by cosx-sinx:
(cos^2x-2sinxcosx+sin^2x)/(cos^2x-sin^2x)
For the numerator, since sin2x = 2sinxcosx, and sin^2x + cos^2x = 1, we have 1-sin2x
For the denominator, cos^2x - sin^2x = cos2x
So (1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Answer:
The length of the garden should be 
Step-by-step explanation:
Let
x------> the length side of the garden
we know that
The area enclosed by the fence is equal to
