Answer:
$43
Step-by-step explanation:
Given



Required
Calculate the amount spent
First, we need to calculate the total amount she had.



Represent amount spent with x.
The relationship between total amount, spending and amount left is:


Collect Like Terms


Answer:
The system has no solution
Step-by-step explanation:
we have
----> equation A

isolate the variable y

Divide by 3 both sides
----> equation B
Compare equation A and equation B
Their slopes are equal and their y-intercepts are different
Remember that
If two lines have the same slope, then the lines are parallel
In this problem we have two different parallel lines, so, the lines don't intercept
therefore
The system has no solution
Answer:
correct
Step-by-step explanation:
Imagine a point in the top left quadrant of a graph
when you rotate it 180 degrees it will end up in the bottom right quadrant
The same will apply if you flip on the y axis and the x axis in no given order
Answer: P (3 or odd) = 1/2
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
cot(x)
Step-by-step explanation:



Recall the Pythagorean Identity 