Using proportions, it is found that her discount is of $0.29664.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount.
In this problem, the total amount she spent on gas is given by:
T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.
Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the <em>proportion </em>to find that her discount is given by:
Her discount is of $0.29664.
More can be learned about proportions at brainly.com/question/24372153
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
, where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared
(5, -2, -3)
<h3>Explanation:</h3>We assume your equations are ...
These have solution (x, y, z) = (5, -2, -3).
_____
<em>How we know</em>
Trying the choices in the last equation eliminates the first and last. Trying the second choice in the first equation eliminates it, leaving the 3rd choice as the answer you're looking for.
We also know because we can ask a graphing calculator to solve the matrix equation (or row-reduce the augmented matrix).
<em>Comment on this problem</em>
The hardest part of this problem is figuring your intent. The equations are not well-separated, so we have a hard time telling what is a constant and what is a coefficient. It took a couple of guesses to sort it out. A little editing before posting would be helpful.
