Answer:
Jo started decelerating at the 10th minute
His average speed for the last 30 minutes of the journey is 4/30 km/minute
Step-by-step explanation:
To get what Jo did at 10 minute, we look at the graph.
At the 10th minute, we can see that we have a sharp turn from the top to the zero position at the 20th minute
so we can say that Jo started deceleration at the 10th minute
For the last 30 minutes of the journey, he travelled a distance of 4km
So, mathematically, his average speed will be;
Distance/ time = 4km/30 minutes = 4/30 km/minute
Answer:
Step-by-step explanation:
<u>Let the numbers are:</u>
- x, x + 1, x + 2, x + 3 and x + 4
- Their sum is 5x + 10
- Their mean is (5x + 10)/2 = x + 2
If we swap the digits on the largest number, the sum increases by 1 more than x + 2
<u>We are looking for the number x + 4 = ab such that:</u>
- ba - ab = ab - 2 + 1
- ba = 2ab - 1
- 10b + a = 2(10a + b) - 1
- 10b + a = 20a + 2b - 1
- 8b = 19a - 1
- 19a = 8b + 1
<u>By trial method we get the solution:</u>
<u>Since x + 4 = 37, the lowest number is:</u>
<u>Lets verify:</u>
<u>The sum is:</u>
<u>The mean is:</u>
<u>Change the largest number tp 73 and find the sum again:</u>
- 175 + (73 - 37) = 175 + 36 = 175 + 35 + 1
The sum has increased by 1 more than 35
Answer:
3.6 gB
Step-by-step explanation:
You can think of this question in terms of the y = mx+b equation.
$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.
78.9 = 4x + 64.5
4x = 14.4
x = 3.6 gB of data (or 3 if it wants a whole number)
Answer:
y=x
Step-by-step explanation:
Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional
