Number of child tickets bought is 20
<h3><u>
Solution:</u></h3>
Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket
cost of each child ticket = 5 dollars
cost of each adult ticket = 8 dollars
Let "c" be the number of child tickets bought
Let "a" be the number of adult tickets bought
Total tickets sold were 110 bringing in 820 dollars
<em>Number of child tickets bought + number of adult tickets bought = 110</em>
c + a = 110 ----- eqn 1
<em><u>Also we can frame a equation as:</u></em>
Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

5c + 8a = 820 -------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "c" and "a"
From eqn 1,
a = 110 - c ------ eqn 3
Substitute eqn 3 in eqn 2
5c + 8(110 - c) = 820
5c + 880 - 8c = 820
-3c = - 60
c = 20
Therefore from eqn 3,
a = 110 - 20 = 90
a = 90
Therefore number of child tickets bought is 20
Answer:
x=3
Step-by-step explanation:
3x + x + x + x − 3 − 2 = 7 + x + x
Combine like terms
6x -5 = 7+2x
Subtract 2x from each side
6x-2x -5 = 7+2x-2x
4x-5 =7
Add 5 to each side
4x-5+5 = 7+5
4x =12
Divide by 4
4x/4 = 12/4
x = 3
Answer:
Consistent and dependent
Step-by-step explanation:
Given


Required
The words that describe the equations
Make y the subject in (2)

Collect like terms

Divide through by 2

Substitute:
in (1)



Collect like terms


Solve for x

Simplify

Substitute
in 



So, we have:
and 
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h
P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule
Potential energy is work , from the known formula
W = Fd ( work = force x distance )
W = P ( in case of potential energy height change)
F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body
F = mg ( not just <m> as the force is mg (Newton) gravity effect)
d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so
d = h
W = Fd = (F = mg) x (d = h) = mgh
W = mgh = P
</span>
Hello,
Here is your answer:
The proper answer to your question is..... 200,000=4x-20
When your doing questions like these make sure you pay attention to the question.
Your answer is 200,000=4x-20
If you need anymore help feel free to ask me!
Hope this helps!