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EleoNora [17]
2 years ago
15

the distance between Johannesburg and bloemfontein is estimated at 435km. if they travel at an average speed of 120km per hour,h

ow long will it take them to travel from Johannesburg to bloemfontein? give answer in hours ,minutes and seconds​
Mathematics
2 answers:
rjkz [21]2 years ago
8 0

Answer:

3.625h,217.5min,13050sec

Step-by-step explanation:

S=vt

t=S/v

t=435/120 (km) /(km/h) =3.625h

t= 3.625*60 min = 217.5 min

t=217.5*60sec = 13050 sec

Umnica [9.8K]2 years ago
4 0

Answer:

t= 3.625 gio 217.5 phút = 13.050 giây

Step-by-step explanation:

s= vt

t=s/v

t= 435/120= 3.625 gio

t= 3.625*60=217.5 phút

t=  217.5*60 = 13.050 giây

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Two car washes charge a basic fee plus a fee based on the number of extras that
mezya [45]

<u><em>Answer:</em></u>

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>The general form of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

<u>For the first car wash, we are given the equation:</u>

y₁ = x + 9

<u>Now, we will start by getting the equation for the second car wash:</u>

<u>1- getting the slope:</u>

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5

The equation now is: y = 1.5x+c

<u>2- getting the y-intercept:</u>

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

<u>The equation for the second car wash is:</u>

y₂ = 1.5x + 6

<u>Part 1:</u>

As mentioned above, the y-intercept represents the basic fee

<u>For the first car wash:</u>

y₁ = x + 9 ................> The basic fee is $9

<u>For the second car wash:</u>

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

<u>Part 2:</u>

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

<u>Let's verify:</u>

<u>For x = 6:</u>

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

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