Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
First of all we have to find the slope
m = y₂-y₁ / x₂-x₁
m = -8 + 16 / -10 + 8
m = 8/-2
m = -4
y-y₁ = m (x-x₁)
y + 8 = -4 (x + 10)
y + 8 = -4x - 40
y = -4x -40 - 8
y = -4x -48
The car takes the time 5.5 hours i.e.5 hours and 30 minutes to travel 462 kilometres when the car travels at average speed of 84 kilometres per hour
Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres
To calculate the time taken for the journey we use the below-mentioned formula

(speed)×(Time taken)=distance

Time taken=
Time taken=5.5 hours i.e.5 hours and 30 minutes
As a result, the time spent on the car journey is 5.5 hours
Hence, It takes the time 5hours and 5 minutes to travel 462 kilometres
Learn more about time here:
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Answer:
B
Step-by-step explanation:
Answer: 1.44 centimeters cubed.
Step-by-step explanation:
To find the volume of a rectangular prism, use the following formula:
, where w equals the width, h equals the height, and l equals the length.
Substituting 0.6, 1, and 2.4 for the variables:
V = 0.6 * 1 * 2.4
V = 1.44 cm^3
The volume of the prism is 1.44 centimeters cubed.