Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults
We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:
We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.
Typically elimination is the easiest strategy because you are able to cross out variables.
Becomes:
We see that both equations now have 3x. We can cancel out 3x.
Now that we know y=180, we can plug it back into one of our equations to find x.
320 student tickets and 180 adult tickets were sold.
Answer:
39.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.
Tan = Opposite/Adjacent
This lets us write two equations in two unknowns:
tan(67°) = AD/CD . . . . . . . . . . angle at guy point
tan(39°) = AD/(CD+32) . . . . . .angle 32' farther
__
Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.
CD = AD/tan(67°)
tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation
tan(39°)(AD/tan(67°) +32) = AD
32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term
32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient
AD ≈ 39.486 . . . . feet
The tower is about 39.5 feet high.
Answer:
V=2
Step-by-step explanation:
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
P=8/V
Inverse variation is expressed as
y=k/x
Where,
k= constant.
From the question,
P=8/V
Where,
8=constant
What is the value of V when p=4
P=8/V
Make V the subject of the formula
pV=8
V=8/p
Substitute the value of p
V=8/4
V=2
5678(1+(0.045×6))
5678=P as it is the principal amount
You didn't say if the car bought is the new car or the old car so I'm assuming the car bought for $22,500 is the new car.
You divide 22,500 by 2 to get the cost of the old car. When you do this, you find out the old car costed $11,250.
the equation is 22,500/2=p
If $22,500 is the cost of the old car, then it's not my fault that the poster did not make it clear. If the previous car costed $22,500, then the previous car costed $22,500
