Find the missing side of a triangle with leg length 10 yards and Hypotenuse 26 yards?
1 answer:
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Let's call a child's ticket and an adult's ticket
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket costs 17,000 and each child's ticket
costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:
Let's solve:
- Find
on its own, which will allow us to substitute it into the first equation
- Substitute in
for
- Apply the Distributive Property
- Combine like terms
- Subtract 1972000 from both sides of the equation and multiply both sides by -1
We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>
Step-by-step explanation:
The total miles covered per day = 45
No of commuting days in a week = 5
Total miles in a week = 45 * 5 = 225
The total amount spent on gasoline = $ 38
Cost of gasoline per gallon = $ 2.48
The number of gallons consumed per week = = 15.32 gallons of gasoline per week.
This confirms (ii) statement
The amount spend on gasoline per mile = = $0.17
This confirms (i) statement
The number of miles per gallon of gasoline = = 14.68 miles
The statement (iii) is false.