Answer:
- 3 hours
- 1 hour 45 minutes
- 300 miles
Step-by-step explanation:
1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...
time = distance/speed
time = 210 mi/(70 mi/h) = 3 h
The trains collide after 3 hours.
__
2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...
(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes
The fly first meets the oncoming freight train after 1 h 45 min.
__
3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.
Find the are of the pool by dividing the volume by the depth:
1960 / 4 = 490
The pool is 490 square feet.
Area is found by multiplying the length by the width.
Let the width = X
We are told the length is 2.5X ( 2.5 times longer)
So we now have 2.5x * x = 490
2.5x * x = 2.5x^2
Now we have 2.5x^2 = 490
Divide both sides by 2.5:
x^2 = 490/2.5
x^2 = 196
find X by taking the square root of 196:
x = √196
x = 14
The width is 14 feet
The length is 2.5 * 14 = 35 feet
Answer:
66 jars of jam
Step-by-step explanation:
Elizabeth is selling jam at a farmers market.
She earns $5 for each jar of Jan that she sells
Her goal is to earn $450 during the weekend.
Elizabeth has already made $95 from the sale of her jams and $24 from leading a demonstration
Therefore the total amount that has been made is
= $95 + $24
= $119
Since her target is $450 and she has already made $119 then the amount remaining to complete the target can be calculated as follows
= $450 - $119
= $331
The minimum number of jars that Elizabeth must sell to realize her goal can be calculated as follows
= 331/5
= 66
Hence Elizabeth must sell 66 jars of jam to reach her goal.
Answer:
0.25
Step-by-step explanation:
we have

we know that

substitute

Remember that

so

Answer: 9 fewer
Step-by-step explanation:
Add 13 and 11 which gives you 24. Then add 8 and 7 which gives you 15. Then subtract 24 - 15 which gives you a difference of 9.