7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1
Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's
Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000
N / D = 2180 / 1000
Simplifying our fraction
= 2180/1000
= 109/50
= 2 9/50
8)
Considering the graph of the velocity of the car, it is found that the interval in which it was stopped at a traffic light was:
Between 3 and 4 minutes.
<h3>When is a car stopped at a traffic light?</h3>
When a car is stopped at a traffic light, the car is not moving, that is, it's velocity is of zero.
In this problem, the graph gives the <u>velocity as a function of time</u>, and it is at zero between 3 and 4 minutes, hence the interval in which it was stopped at a traffic light was:
Between 3 and 4 minutes.
More can be learned about the interpretation of the graph of a function at brainly.com/question/3939432
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Answer:
x=60
Step-by-step explanation:
divid the numbers
multiply all terms by the same value to eliminate fraction denominator
simplify
Answer:
(x, y) = (6, -9)
Step-by-step explanation:
Add the two equations to eliminate the y-variable:
(3x +5y) +(-7x -5y) = (-27) +(3)
-4x = -24 . . . simplify
x = 6 . . . . . . divide by -4
Substitute this value of x into the first equation and solve for y:
3(6) +5y = -27
5y = -45 . . . . . . . subtract 18
y = -9 . . . . . . . . . divide by 5
The solution to this system of equations is (x, y) = (6, -9).
Answer: His average speed for his total journey from York to Blackpool is approximately 61.41 km/h.
Step-by-step explanation:
Since, The distance covered by him from York to Leeds = 45 km,
The speed when he covered this distance = 54 km/ h
Thus, the time taken by him in travelling from York to Leeds = 45/54 hours (Because, Time = Distance/speed)
Now, The distance covered by him from Leeds to Blackpool = 42 km,
The time taken by him in travelling from Leeds to Blackpool = 35 minutes = 35/60 hours
Hence, the total time taken by him in this journey
hours
And, the total distance he covered= 45 + 42 = 87 km
Thus, His average speed