Answer:
$300
Step-by-step explanation:
Let Dave's saving be D and Sam's savings be S
- <u>"At first, the ratio of Dave's savings to Sam's savings was 5:4":</u>
- <u>"After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10":</u>
<em>So we subtract 40 from each of them and then the ratio becomes 13 is to 10. Hence we can write:</em>
<em>Plugging in into S (as we found earlier), we can solve for D (our answer):</em>
So, Dave's savings at first, D, is $300.
The distance traveled, d = 2/5 miles = 0.4 miles.
The time taken to travel 0.4miles is given as, t = 1/4 hr = 0.25 hr.
Thus, the average speed, s = distance traveled divided by time taken.
i.e.
we can now go through the options and see the correct answers:
option A is correct because unit rate per hour is the same thing as average speed
option B is wrong because average speed is greater than 1mile/hr from our calculation above
option C is wrong because 13/5 gives us 2.6 miles/hr
option D is correct because the average speed is indeed greater than 1
option E is wrong because average speed is 1.6 miles/hr not 2 1/4 miles/hr
Thus, the answers are:
Option A and Option D
The fraction of the entire class paired for the game is: 24/31
<h3>Fraction of the entire class paired for the game</h3>
From the task content:
- It follows that; (3/4)x = 4/5y
Hence, it follows that;
By substitution;
Hence;
- (3/4)×16/31 = 12/31
- (4/5) × 15/31 = 12/31
Hence, the fraction of the entire that was paired is; 12/31 + 12/31 = 24/31.
Read more on fractions;
brainly.com/question/78672
Answer:
9w to the power of is 81w
Step-by-step explanation:
6.05 because the 5 is in the hundredths place...