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julsineya [31]
3 years ago
11

Tom drives a truck. His regular trip is a distance of 280 km. He drives at an average speed of 80 km/h. For safety reasons Tom’s

boss puts a speed limiter on his truck. This reduces Tom’s average speed by 10 km/h. The total operating cost for the truck is $400 000 per year. The percentage breakdown of this total amount was: 40%: Fixed costs (insurance, registration, wages) 30%: Fuel 20%: Finance 10%: Maintenance (service, repairs, tyres) Suppose the fuel price increases from $1.50 to $1.60 per litre. How much does this add to the total operating cost per year?
Mathematics
2 answers:
kakasveta [241]3 years ago
5 0
Cost of fuel = 30% of $400 000 = 30/100 x 400000 = $120 000

Fuel amount = $120 000/$1.5 = 80 000 liters
new cost of fuel = 80000 x $1.6 = $144 000

increase in cost = 144000 - 120000 = $24000

So the increase in petrol price increases the operating cost by $24000
Feliz [49]3 years ago
3 0
Your answer will be <span>So the increase in petrol price increases the operating cost by $24000

hope this helped! haha have a great one, :) x

</span>
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Two fair dice are rolled. Determine whether the events are dependent or independent. (a) (the first die shows 3) and (the two di
Alborosie

Answer: The events are independent

a) p = 1/36 b) p = 5/216

Step-by-step explanation: both events are independent because the fact that the first die shows it sample space {1, 2, 3, 4, 5, 6} does not stop the second die from showing it own sample space too which is {1, 2, 3, 4, 5, 6}.

The sample space of first die = {1, 2, 3, 4, 5, 6}

The sample space of second die = {1, 2, 3, 4, 5, 6}

The sample space of 2 dice rolled at once is seen as attachment to this answer, find attachment below.

Probability that an event will occur = number of time the event will occur / total number of possible outcome of the event

a)

Probability that first die will show 3 = number of times 3 shows up in the event / total number of outcome of the die = P (3)

P (3) = 1/6

Probability that 2 dice sum up to give 7 = 6/ 36 = 1/6 ( from the sample space for 2 dice attached, it is seen that the sum of 7 comes out 6 times and the total sample space is 36)

P (first die show 3) = 1/6

P ( 2 dice sum to 7) = 1/6

P ( first die show 3) and P ( 2 dice sum to 7) = 1/6 * 1/6 = 1/36.

b)

Probability of the first die showing 4 = P(4) = 1/6

Probability of 2 die sum up to give 8 = 5/36

P ( first die show 8) and P ( 2 die sum up to give 8) = 1/6 * 5/36 = 5/216

7 0
3 years ago
Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote fr
dezoksy [38]

1200 x 0.15 = 180

 so company a is cheaper by 180 dollars

3 0
3 years ago
Read 2 more answers
Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Vera_Pavlovna [14]

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

<u>For option A:</u>

(0,4)

Putting x=0 and y = 4 in both equations

-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2

This is not the correct answer as both equations are not true with this solution

<u>For Option B:</u>

(0,-4)

Putting x = 0 and y = -4 in both equations

-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2

Both equations are true for (0,-4) hence it is the solution of the system.

<u>For Option C:</u>

(4,0)

-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2

Not true for both equations

Hence,

Option b is the correct answer.

7 0
2 years ago
What is the value of x in the equation 3x-1/9y=18 when y= 27
makkiz [27]

Answer:

x=7

Step-by-step explanation:

3x-1/9(27)=18\\3x-3=18\\3x=18+3\\3x=21\\3x/3=21/3\\x=7

6 0
3 years ago
Read 2 more answers
A box has demensions of 17in long 1.3 ft wide and 8in high what is the volume of the Box? The formula for the volume is v=1 w•h.
KIM [24]

Using the formula V = L x W x H, multiply the 3 dimensions together.


17 x 1.3 x 8 = 176.8 cubic inches.

4 0
3 years ago
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