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For this fraction, we have (3x+2) in both the numerator and the denominator. So, they will be cancelled together.
Then we can notice that we can divide the coefficients in the numerator and the denominator by 9 as 36/9 = 4 and 9/9 = 1
So, the expression now becomes:
(x+7) / 4(x-5) which is the simplest form.
To find the hourly rate, we would first need to take the total earnings and subtract the bonus. $164 - $50 = 114 This gives us the total money earned for hourly work. Then we need to add the total hours worked: 4 + 8 = 12. Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour. The equation could look like: 4h + 8h + $50 = $165
Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Step-by-step explanation:
-24ab^2
Is the answer
Hope this helps.