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yawa3891 [41]
4 years ago
6

Latoya drove 693 miles in 11 hours. At the same rate, how long would it take her to drive 315?

Mathematics
1 answer:
mixas84 [53]4 years ago
7 0

Answer:

At the same rate it would take her <u>5 hours</u> to drive 315 miles.

Step-by-step explanation:

Given:

Latoya drove 693 miles in 11 hours.

So, to find at the same rate how long it would take her to drive 315 miles.

Now, for getting the rate of driving we put the formula:

<em>Time = 11 hours.</em>

<em>Distance = 693 miles.</em>

Speed = \frac{distance}{time}

Speed = \frac{693}{11}

Speed= 63\ miles\ hour.

Now, to get the time for her to drive 315 miles at the same rate:

Time=distance\div speed

Time = 315\div 63

Time = 5\ hours.

Therefore, at the same rate it would take her <u>5 hours</u> to drive 315 miles.

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A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?​
zzz [600]

Answer:

\boxed{ \bold{ \huge{ \boxed{  \sf 240 \:  {inches}^{2} }}}}

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

<u>Fi</u><u>rst</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangle</u>

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⇒\sf{64 = 2(20 + w)}

Distribute 2 through the parentheses

⇒\sf{64 = 40 + 2w}

Swap the sides of the equation

⇒\sf{40 + 2w = 64}

Move 2w to right hand side and change it's sign

⇒\sf{2w = 64 - 40}

Subtract 40 from 64

⇒\sf{2w = 24}

Divide both sides of the equation by 2

⇒\sf{ \frac{2w}{2}  =  \frac{24}{2} }

Calculate

⇒\sf{w = 12 \: inches}

Width of a rectangle ( w ) = 12 inches

<u>Now</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of </u><u>a</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>0</u><u> </u><u>inches</u><u> </u><u>and </u><u>width </u><u>of</u><u> </u><u>1</u><u>2</u><u> </u><u>inches</u>

\boxed{ \sf{area \: of \: rectangle = length \:  \times  \: \: width}}

plug the values

⇒\sf{area \: of \: rectangle =20 \times  12 }

Multiply the numbers : 20 and 12

⇒\sf{area \: of \: rectangle = 240 \:  {inches}^{2} }

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

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3 years ago
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
wel

Answer:

D

Step-by-step explanation:

To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.

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The slope is:  \frac{3}{200} .
________________________________________________________
Note:
________________________________________________________
slope = rise/ run = 15 ft/ 1000 ft ;

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