A square+14a-51=0 <br> answer in one equation

Help! Need this done quickly! picture is upside down so please flip your screen! sorry!

iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

$A=l^2$ where l is the side length

Plug in the given area 121 in.²

$121=l^2$

Take the square root of both sides

$\sqrt{121} = \sqrt{l^2} \\11=l$

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

$P=4l$ where l is the side length

$P=4(11)\\P=44$

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

$P=2(l+w)$ where l is the length and w is the width

Plug in 3x and x-2 as the length and width

$P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)$

Plug in the perimeter 44 in.

$44=2(4x-2)$

Expand the parentheses

$44=8x-4$

Add 4 to both sides to isolate 8x

$44+4=8x-4+4\\48=8x$

Divide both sides by 8 to isolate x

$\frac{48}{8}=\frac{8x}{8} \\6=x$

Therefore, the value of x is 6.

I hope this helps!

4 0

3 years ago

3. A fast food joint sells 5 boxes of chicken nuggets for $33.90. Another fast food joint sells 4 boxe:

mrs_skeptik [129]

33.90/5= 6.78 or 26.88/4= 6.72. The 4 boxes of chicken fingers has the cheaper unit price

3 0

3 years ago

A camera manufacturer spends $2,000 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell

anzhelika [568]

If you do the calculations and have in mind the data given then we may say that 1) The company must sell 250 cameras in one day and
2) If the manufacturer increases the production by 50 then the profut would be 400.
Your option is the first one, option A

8 0

4 years ago

Read 2 more answers

How do you find out if a decimal is terminating or repeating?

leva [86]

Answer:

A terminating decimal, terminates, or stops. For example: 1.5. A repeating decimal keeps repeating itself. For example: .999999999999 (and so on). Hope I helped!

Step-by-step explanation:

7 0

3 years ago

Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

5 0

3 years ago

A square+14a-51=0 answer in one equation