The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is tripl
1 answer:
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<u>Part (a)</u>
The variable y is the dependent variable and the variable x is the independent variable.
<u>Part (b)</u>
The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:
dollars
Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.
Therefore, the price of the fair admission is: $33.50-$13.50=$20
If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:
......Equation 1
<u>Part (c)</u>
The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.
Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.
Answer:
See below
Step-by-step explanation:
16 + (18 + 10) = (x + 18) + 10x
16 + 28 = (x + 18) + 10x Add like terms in the parentheses
44 = (x + 10x) + 18 Use the community property to regroup like
terms
44 = 11x + 18 Simply
<u>-18 = -18</u> Substract 18 from both side
26 = 11x Simply
<u>26</u> = <u>11x</u> Divide by 11
11 11
Reduce