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2 years ago

The perimeter of the rectangle is 76 units. Find the length of side pq

Mathematics

1 answer:

larisa [96]2 years ago

6 0

Answer: $PQ=16\ units$

Step-by-step explanation:

The missing figure is attached.

The perimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

You can identify in the figure that:

$w=SR=PQ=2z+2\\\\l=QR=PS=3z+1$

Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:

$76=2(3z+1)+2(2z+2)$

Now you must simplify and solve for "z"

$76=6z+2+4z+4\\\\76-6=10z\\\\70=10z\\\\\frac{70}{10}=z\\\\z=7$

Finally, substituting the value of "z" into $PQ=2z+2$ , you get:

$PQ=2(7)+2=16\ units$

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Answer:

If you have

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The point (2,4) would be transformed to (1,1)

Step-by-step explanation:

If your compression is horizontal then the transformation you are making is the following

$g(x) = f(x/2)$

Therefore, if you have

$f(x) = x^2$

The point (2,4) would be transformed to (1,1)

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2 years ago

Which number is a solution of the inequality x <-4? Use the number line to help answer the question.

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Answer:

0 is the answer

Step-by-step explanation:

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2 years ago

On July 9, Mifflin Company receives a $10,200, 90-day, 6% note from customer Payton Summers as payment on account. What entry sh

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Answer:

Since on July 9, Mifflin Company receives a $ 10,200, 90-day, 6% note from customer Payton Summers as payment on account, to determine what entry should be made on July 9 to record receipt of the note the following calculation must be performed :

90 days = 3 months

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2 years ago

What is the width of a rectangle with an area of 5/8 in. squared and a length of 10 inches?

Ad libitum [116K]

5/8=10×w this is my equation then i divide by 10 on both sides
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2 years ago

John sells hamburgers ($3) and cheeseburgers ($3.50). One afternoon he sells a total of 24 burger for $79. How many of these wer

ankoles [38]

John sold 10 hamburgers and 14 cheeseburgers.

Step-by-step explanation:

Given,

Cost of one hamburger = $3

Cost of one cheeseburger = $3.50

Total burgers sold = 24

Total revenue earned = $79

Let,

Number of hamburgers sold = x

Number of cheeseburgers sold = y

According to given statement;

x+y=24 Eqn 1

3x+3.50y=79 Eqn 2

Multiplying Eqn 1 by 3

$3(x+y=24)\\3x+3y=72\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(3x+3.50y)-(3x+3y)=79-72\\3x+3.50y-3x-3y=7\\0.50y=7$

Dividing both sides by 0.50

$\frac{0.50y}{0.50}=\frac{7}{0.50}\\y=14$

Putting y=14 in Eqn 1

$x+14=24\\x=24-14\\x=10$

John sold 10 hamburgers and 14 cheeseburgers.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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2 years ago