We know: The total number of tickets is 35. Another way of saying this is the number of adults plus the number of children equals 35. i.e.:
Using the symbols provided we can write this is as:
We also know: The total money collected is $75. We know that $6 was collected for every adult or
and $1 for every child or
. i.e.:
Using the symbols provided and adding it all up we can write this is as:
Equation 1:
Equation 2:
A. Given (This is part of the original problem)
b. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)
c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)
d. Subtraction (m<2 is being subtracted)
e. Subtraction postulate (Since the same quantity was being subtracted from each side of the equation, they are still equal)
Answer:
= 6
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 6 and r = 30 ÷ 6 = 5, thus
= 6
So we have the formula:
where
is the distance in kilometers
is the petrol in liters
is the petrol consumption in kilometers per liter
We now for our problem that <span>David drove a distance of 187 km, so </span>
. We also know that he used 28 liters of petrol, so
. Lets replace those values in our formula to find the petrol consumption:
Now, remember that are some rules to determine the number of significant figures in a number:
1. Non-zero digits are always significant figures.
2. A zero between tow significant figures is always a significant figure.
Applying those tow rules we realize that
has 6 significant figures, whereas
has three significant figures and
only two. In mathematical operations with significant figures, the answer should be given with the same significant figures as the number with least significant figures involved in the operations. In our case, that number is
, and
has two significant figures, so our answer should have 2 significant figures. To give our answer with 2 significant figures, we are going to round it:
We can conclude that the patrol consumption of David's vehicle is
6.7 kilometers per liter.
