Answer:
s = 2t₁ + t₂
3 possible combinations:
t₁ = 0 min , t₂ = 8 min
t₁ = 1 min , t₂ = 6 min
t₁ = 2 min , t₂ = 4 min
Step-by-step explanation:
The distance covered by a body in uniform motion is given by the following equation:
s = vt
where,
s = distance
v = speed
t = time
For running:
s = s₁
t = t₁
v = 2 miles/min
Therefore,
s₁ = 2t₁
For walking:
s = s₂
t = t₂
v = 1 miles/min
Therefore,
s₂ = t₂
And the total distance will be:
s = s₁ + s₂
<u>s = 2t₁ + t₂</u>
where,
s = total distance covered in miles
t₁ = running time in min
t₂ = walking time in min
Now, the total distance is given as 8 miles:
8 = 2t₁ + t₂
So, the 3 possible combinations of time to satisfy this equation can be:
<u>t₁ = 0 min , t₂ = 8 min</u>
<u>t₁ = 1 min , t₂ = 6 min</u>
<u>t₁ = 2 min , t₂ = 4 min</u>
Answer:
( 2x +3) (x+1)
Step-by-step explanation:
2x^2 + 5x + 3
2 factors to 2 and 1
3 factors to 3 and 1
We need to get 5x in the middle
( 2x +3) (x+1)
Answer:
£120
Step-by-step explanation:
Given that
The price after reduction = £78
So, 65% = £78.
We have to calculate 100 %
To do so, find 5% and multiply that by 20
65% = £78
5% = 78/13 = £6
So, 100% = 6 x 20 = £120
Hope this helps.
Good Luck
Please mark brainiest
Answer:
The mean absolute deviation = 3.5°F
Step-by-step explanation:
The sum of the given temperatures, ∑T, is found as follows;
∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F
The number of days, n, over which the temperature was tracked = 8 days
Therefore, the mean, 
, of the data set = ∑T/n = 480°F/8 = 60°F
The mean absolute deviation is given by the following formula;
Therefore, we have;
66 - 60 = 
= 6
57 - 60 = 
= 3
61 - 60 = 
= 1
65 - 60 = 
= 5
54 - 60 = 
= 6
62 - 60 = 
= 2
59 - 60 = 
= 1
56 - 60 = 
= 4
The mean absolute deviation is therefore;
The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.
