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Mekhanik [1.2K]
3 years ago
13

Solve the problem by entering and solving an equation.

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.

To Find : The width of the frame .

Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;

\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}

Where , l is the length of the rectangle and b is the breadth of the rectangle .

⇒ Perimeter = 2 ( l + b ) .

⇒ 52 in. = 2 ( 12 + x ) in.

⇒ 52 in.= 24in. + 2x .

⇒ 2x =( 52 - 24 ) in

⇒ 2x = 28 in.

⇒ x = 28/2 in.

⇒ x = 14 in.

<u>Henc</u><u>e</u><u> the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>recta</u><u>ngle</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u> </u><u>inches</u><u>.</u>

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Answer:

63 free throws.

Step-by-step explanation:

18/2 = 9

7 x 9 = 63

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8 0
3 years ago
513 as a percentage of 900
zavuch27 [327]
513 as a percentage of 900 can be re-written as;
\frac{513}{900} *100
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When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x.
timama [110]

The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)

Subtraction of fraction

Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction

1/2x = -1/2x

  • Subtract 4 from both sides

1/2x - 4 = -1/2x - 4

(x-8) / 2 = (-x-8) / 2

(x - 8) / 2 = (-x-8) / 2

  • cross product

2(x - 8) = 2(-x - 8)

2x - 16 = -2x - 16

2x + 2x = -16 + 16

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Learn more about fraction:

brainly.com/question/11562149

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7 0
2 years ago
A high school club has 10 members who are seniors and 8 members who
Taya2010 [7]

Answer:

The probability that the person will not  be a senior

P(E⁻) = 1 - P(E)

       =  1- \frac{5}{9} = \frac{4}{9}

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A high school club has 10 members who are seniors and 8 members who  are juniors

n(S) = 10 + 8 = 18

If a member is randomly selected to be the club president

Let 'E' be the event that the person will  be a senior

The probability that the person will  be a senior

      P(E) = \frac{n(E)}{n(S)}

     P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}

The probability that the person will not  be a senior

P(E⁻) = 1 - P(E)

       =  1- \frac{5}{9} = \frac{4}{9}

     

6 0
3 years ago
What is the area of the rectangle with the given dimensions?
rewona [7]

Answer:

F

Step-by-step explanation:

The area is equal to length times width.

Use the foil method to multiply (2x-5)(3x+3).

7 0
3 years ago
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