<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.
Since we know that he ate 1/4 pound one time, and 1/6 another time, we have to add up the fractions.
1/4+1/6
LCM of 4 and 6 = 12
3/12 + 2/12
Add the numerators:
5/12
So, he ate 5/12 of a pound of bars in both breaks.
Hope this helps!
Answer:
x = 6
<u><em>Sorry if this answer is not correct, if it is or is not, please tell me in the comments!</em></u>
Step-by-step explanation:
All of the angles add up to 180 degrees (since it is a triangle), so
(11x - 3) + (7x + 5) + (13x - 8) = 180
Then, combine the like terms.
31x - 6 = 180
Now, out goal is to separate the x from everything. To do that, we need to add 6 to 180.
31x = 186
Then divide by 31.
x = 6
(Feel free to replace x with 6 back in the previous equation to double check it!)
Well capacity is how much space u can put in an object something is and ounces is the measure of how much is in so the capacity can be like 5 ounces
Subtract 20n from both sides of the equation.
n^2+100-20n=0
factor using the perfect square rule.
(n-10)^2=0
set the n-10 equal to 0.
n-10=0
add 10 to both sides of the equation.
n=0