Average rate of change = slope = (5-3)/(-1-1)=2/-2=-1
Answer:
Ratio = 5/12
Jack had = $972
Step-by-step explanation:
<u>Given:</u>
- Total money $1377
- Amy had = x
- Jack had = y
- Amy spent = 0.8x
- Jack spent = 1/3y
<h3>Part A</h3>
<u>Since they spent same amount of money:</u>
- 0.8x = 1/3y
- 8/10x=1/3y
- x/y = 10*1/8*3 = 5/12
The ratio was 5/12
<h3>Part B</h3>
<u>Sum of money:</u>
<u>As per ratio, x = 5/12y, substituting x in above equation:</u>
- 5/12y + y = 1377
- 17/12y = 1377
- y = 1377*12/17
- y = 972
Jack had $972
Answer: 2
Step-by-step explanation:
You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles
Answer:
Derek needs to add 3/4 cups of flour.
Step-by-step explanation:
If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.