Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
E
Step-by-step explanation:
using the rule of radicals
× 
⇔ 
, hence
= 
= 
× 
× 
[ = i]
= 2i → E
The sum of 5 times a number and -8:
5x - 8 = y
Answer:
(x + 2) ^2 (x - 2) ^ 2 so A is the answer.
Step-by-step explanation:
I think there's an image needed to answer this question?
I tried answering without, but you do need the image.
If the length is 40 and the width is 25, the ration of length:width is 40:25.
This can be simplified to 8:5
So the answer would be any drawing with the following dimensions:
1. length 8 ft and width 5 ft
2. length 16 ft and width 10 ft
3. length 24 ft and width 15 ft
4. length 32 ft and width 20 ft
5. length 40 ft and width 25 ft
It's most likely not the last 3 because the sizes are very big, but yeah a scale drawing maintains the same ratio so I assume one of the options for your answers is gonna be one of the answers from 1 - 4 above (5 is the given dimensions so I highly doubt that's the answer)
