Answer:
- Elvira's speed: 3.0 mph
- Aletheia's speed: 2.4 mph
Step-by-step explanation:
Let "e" and "a" represent the speeds of Elvira and Aletheia, respectively. Then the total distance they cover is ...
distance = speed × time
(1/2)e + (2/3)a = 3.1
And the relationship between their speeds is ...
e - a = 0.6
__
To solve this system, we can double the first equation and subtract the second to get ...
2(1/2e +2/3a) -(e -a) = 2(3.1) -(0.6)
7/3a = 5.6 . . . . . . . . . . simplify
a = (3/7)(5.6) = 2.4 . . . multiply by 3/7
e = a +0.6 = 3.0 . . . . . Elvira's speed is 0.6 mph more than Aletheia's
Elvira's walking speed is 3.0 miles per hour; Aletheia's is 2.4 miles per hour.
Answer:
80 ways
Step-by-step explanation:
The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.
In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:
8 * 10 = 80
There are 80 ways to combine appetizers and the main course
Answer:
Archimedes was the first to derive this formula.
Step-by-step explanation:
Answer:
answer is 1/8
Step-by-step explanation:
hope this helps
3.
area=legngth tiimes width
legnth is 10 more than 2 times width
l=10+2w
lw=area=(10+2w)w=10w+2w^2
area=3600
3600=10w+2w^2
so divide by 2
1800=5w+w^2
subtract 1800 from both sides
(note they used x instead of w)
0=w^2+5w-1800
then the facotred form is (w-40)(w+45)=0
0 product property measn if you have xy, then x and or y =0
therefor
w-40=0 and w+45=0
w=40 or -45
discard negative because negative legnth is not possible
explian how solution relates to situation
it is math so it is correct because we represented it corrrectly
the other solution is because of math and eliminate negative legnth becasue tha tis not possible
basically because we represented it correctly
not a very clear quetion to answer
basically 'because it represents the solution so we solved it and it is correct'