MATHEMATICS MIDDLE SCHOOL

One taxi leaves at a stop at every 6 minutes a second taxi leaves the stop every 9 minutes if they leave at 4.00 p.m at what time will they next leave together

Answers

Answer 1

Answer:

Both taxis will leave together at 04:18 PM after 04:00 PM

Step-by-step explanation:

We have to use the LCM to find the time on which both will leave at the same time,

Given

Departure interval for first taxi = 6 minutes

Departure interval for second taxi = 9 minutes

We have to find the LCM of 9 and 6

So,

Factors of 6: 6,12,18,24,30,36,42,48,54,60

Factors of 9: 9,18,27,36,45,54,63,72

The LCM is 18.

So,

Both taxis will leave together at 04:18 PM after 04:00 PM

Keywords: LCM, time

Learn more about LCM at:

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How do you write 525.048 in word from

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five hundred twenty-five and forty-eight thousandths...
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A string of decorative lights is 28 feet long the first light on the string is 16 inches from the plug if the lights on the string are spaced 4 inches apart how many lights are there on the string

Answers

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A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67 Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67

Answers

Answer:

The graph which describes the relationship between company charges and minutes of usage is the graph containing the points (100,135) and (500,375) and has a slope of 0.6. Where the first coordinate of the points are the minutes and the second coordinate the charges.

Step-by-step explanation:

As the first coordinate of a point always represents the x variable and the second coordinate they value, the possible options to describes this situation are:

The graph join which joins the points (100,135) and (500,375) and has a slope =0.6

The graph join which joins the points (100,135) and (500,375) and has a slope =1.6

The other options are not possible since the order of the coordinates is inverted.

One of the possibilities showing above must be rejected since one have the incorrect slope. To verify the correct slope we calculate the variation of y coordinates and divide by the variation of x coordinates:

$m=((y2-y1))/((x2-x1))$

Assuming the point named '2' as the point (100,135) and the point named '1' as (500,375):

$m=((375-135) \$)/((500-100) minutes)$

$m=((240) \$)/((400) minutes)$

$m=0.6 \$/minutes$

Thus, that the graph joining the points (100,135) and (500,375) and has a slope of 0.6 the only possible action.

The correct answer to this question is letter "B. Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6." The one on the x axis should be the number of minutes and on the other hand, the one on the y axis should be the amount being charged.

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Answers

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Answers

Answer:

$9.45054*10^(14)$

Step-by-step explanation:

we have

$(8.6*10^(7) )/(9.1*10^(-8))=(8.6)/(9.1)*( 10^(7))*(10^(8))\n \n= (8.6)/(9.1)*( 10^(7+8))\n \n= (8.6)/(9.1)*( 10^(15))\n \n=0.945054*( 10^(15))\n \n=9.45054*10^(14)$

Answer:

$\large\boxed{9.45\cdot10^(14)}$

Step-by-step explanation:

$(8.6*10^7):(9.1*10^(-8))\n\n=(8.6)/(9.1)\cdot(10^7)/(10^(-8))\qquad\text{use}\ (a^n)/(a^m)=a^(n-m)\n\n=(86)/(91)\cdot10^(7-(-8))\n\n=(86)/(91)\cdot10^(7+8)\n\n=(86)/(91)\cdot10^(15)\n\n\approx0.945\cdot10^(15)\n\n=9.45\cdot10^(-1)\cdot10^(15)\qquad\text{use}\ a^n\cdot a^m=a^(n+m)\n\n=9.45\cdot10^(-1+15)\n\n=9.45\cdot10^(14)$

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Answers

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