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vovangra [49]
3 years ago
6

Janel's study group started 3:00. Her friends Jackson and Teagan arrive at 10 minutes after 3. Her friend Natalie arrives 45 min

utes later. When did Natalie arrive? Write this time in two other ways.
Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

Natalie arrived at 3:55 pm or 15:25

Step-by-step explanation:

Start time is 3:00

The first two friends arrived at 10 minutes after 3. Arrival time = 3:10

Natalie arrived 45 minutes later. Arrival time is 3:10 + 45 = 3:55

Natalie arrived at 3:55, using 24-hour formats, the arrival time is 15:55

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Answer:

x = 7

Length = 4 inches , Width = 15 inches

Step-by-step explanation:

<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>

Area of rectangle = Length × Width

A = L × W

L = x - 3

W = x + 8

Therefore:

A = L × W

60 = ( x - 3 ) ( x + 8 )

( x - 3 ) ( x + 8 ) - 60 = 0

x^2 + 8x - 3x - 24 - 60 = 0

x^2 + 5x - 84 = 0

x^2 + 12x - 7x - 84 = 0

x ( x + 12 ) - 7 ( x + 12 ) = 0

( x + 12 ) ( x - 7 ) = 0

THEREFORE:

x = - 12 , x = 7

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>

L = x - 3

L = ( - 12 ) - 3

L = - 15

OR

L = ( 7 ) - 3

L = 4

THEREFORE:

Length can not be a negative number. Hence, L can not equal to - 15.

L = 4 inches

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

W = x + 8

W = ( 7 ) + 8

THEREFORE:

W = 15 inches

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Step-by-step explanation:

The image of the motion of Paul's derive is attached already.

From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.

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Average speed = \frac{total distance }{time}

To find the total distance covered;

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Distance covered between 1 - 4 = 225 - 75 = 150miles

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learn more:

Speed and motion brainly.com/question/10048445

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