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vampirchik [111]
3 years ago
13

Olivia family drove to Disney land For spring break. Her mom and dad shared the driving duties for a total of 14 hours. her mom

drove 65 mph and her dad drove 60 mph if they drove a total of 895 miles how many hours did each person drive for
Mathematics
1 answer:
Kay [80]3 years ago
6 0

Mom drove for 11 hours.

Dad drove for 3 hours.

<u>Step-by-step explanation</u>:

  • Total hours = 14 hours
  • Total distance = 895 miles
  • Mom drove a speed of 65 mph
  • Dad drove a speed of 60 mph

Let 'x' be the number of hours drove by mom.

Let 'y' be the number of hours drove by dad.

x + y = 14     ---------------(1)

65x + 60y = 895  ---------(2)

Multiply eq(1) by 60 and subtract eq(2) from (1),

60x + 60y = 840

-(<u>65x + 60y = 895</u>)

 <u> -5x   = -55    </u>

x = 55/5

x = 11

∴ Mom drove for 11 hours.

Substitute x=11 in eq(1)

11+y = 14

y = 3

∴ Dad drove for 3 hours.

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Answer:

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Step-by-step explanation:

<u>Given expressions:</u>

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The linear equation is y = 4x - 4

And the graph of the linear equation can be seen in the image below.

<h3>How to graph the last line?</h3>

It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.

Remember that a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:

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The graph is below.

If you want to learn more about linear functions:

brainly.com/question/4025726

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