Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />
Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.
Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.
Then, you can represent the number of hours he worked as a waiter this month with this equation:
Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:
Since , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.
This is:
The two angles are x and 9x/5
<h3 /><h3 />
Let the two angles we require be x and y.
<h3 /><h3>Ratio of both angles</h3>
We have that the ratio of both angles are x:y
Since both angles are in the ratio 5:9, we have that,
x:y = 5:9
⇒ x/y = 5/9
<h3 /><h3>Value of the other angle</h3>
So, we Make y subject of the formula
Multiplying both sides by y, we have
y × x/y = 5/9 × y
x = 5y/9
Multiplying both sides by 9, we have
9 × x = 5y/9 × 9
9x = 5y
Dividing both sides by 5, we have
9x/5 = 5y/5
y = 9x/5
So, the two angles are x and 9x/5
Learn more about angles here:
brainly.com/question/14362353
Answer:
q = - 
p
Step-by-step explanation:
less than p = 
p
Thus
p + q = p ( multiply through by 3 to clear the fraction )
3p + 3q = 2p ( subtract 3p from both sides )
3q = - p ( divide both sides by 3 )
q = - p
