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:
Per minute value fee would be the slope of the line.
Step-by-step explanation:
Given:
Per minute charges by the phone company = $ 0.50
Connection fee (fixed) charged by company = $ 1.0
We have to represent the total cost in terms of y and also explain the slope of the line.
According to the question:
Let the number of minutes be "x" .
And the total cost charged be "y" .
So,
The total cost = (No. of minutes)(Per minute charge) + Connection fee
Re-arranging in term of x and y.
⇒ 
⇒ 
...equation (i)
Slope- intercept form: 
m is the slope and b is the y-is intercept.
⇒ Comparing equation (i) with the slope- intercept form.
⇒ 
and 
So,
The slope of the line is 0.50 which is also represented by the per minute value of the call.
Per minute value fee would be the slope of the line.
Answer: 5%
Step-by-step explanation:
A meteorologist predicted that Monday's hight temperature would be 76F and on Monday, the temperature reached 80F.
The percentage error will be
Percentage error=
(Exact value-Forecasted value)/exact value x 100
= 76-80/80 × 100
= -4/80 × 100
=4/80 × 100
= 400/80
= 5%
The percentage error is 5%.
Answer:
32
Step-by-step explanation:
I did the mathmathics
