answer is attached with solution
answer is 5/17
Prime factorizations - Wednesday work
1. 44 2^2 • 11
2. 125 5^3
3. 85 5 • 17
4. 39 3 • 13
5. 63 3^2 • 7
6. 240 2^4 • 3 • 5
7. 87 3 • 29
8. 45 3^2 • 5
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:
6x-32 is the expression that you are looking for
Answer:
y = 4/3x - 12
Step-by-step explanation:
To find the slope of the line, we do (y2 - y1) / (x2 - x1)
If we put in the values, we'll get
(-4 - -8) / (6 - 3)
Simplify and get
(-4 + 8) / 3
4 / 3
Your slope is now 4/3, so you can put it into your equation y = mx + b
y = 4/3x + b
To find b, we can plug in the values from one of your points. Lets use (3, -8)
-8 = 4/3 * 3 + b
Now solve the equation
-8 = 4 + b
-12 = b
Now that you have b, your equation is complete:
y = 4/3x - 12
