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topjm [15]
4 years ago
8

If you are driving 60 miles per hour, how many hours will it take you to drive from Lubbock to San Antonio? Round your answer to

the nearest hour.
(use the chart below)

Abilene ....n/a......185..... 447...... 165.......... 261

Dallas .....185........n/a.... 633...... 351.......... 277

El Paso ...447..... 633.....n/a....... 344...........558

Lubbock ..165 ......351... 344........n/a...........394

San Ant....261..... 277.... 558....... 394...........n/a

1. 7
2. 8
3. 9
4. 10
Mathematics
1 answer:
Deffense [45]4 years ago
5 0

Answer: 3

Step-by-step explanation:

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The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle​
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Answer:

  • Length of rectangle is 31 yards and Width is 24 yards.

Given:

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Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

\\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x - 744 = 0 \\ \\ \\  \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x = 24 \:  or \:   - 31 \\ \\

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

  • Width of rectangle = x = 24 yards
  • Length of the rectangle = x + 7 = 31 yards

\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

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Step-by-step explanation:


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