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julsineya [31]
3 years ago
13

The length of a rectangle is 2x-5 and its width is x+9. Express the perimeter of the rectangle

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0
<h2>Hey there!</h2>

<h2>Given,</h2>

       length = 2x-5 and breadth(width) = x+9

<h3>We know that:</h3><h3>Perimeter of a Rectangle is = 2*(l + b)</h3>

                                             = 2*(2x-5 + x +9)

                                             = 2*(x+4)

                                             = 2x + 8

<h3>So, the perimeter of the given rectangle is = 2x + 4</h3><h3 /><h2>Hope it help you</h2>
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3 years ago
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Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
Troyanec [42]

Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = \frac{2}{9}

Fraction spent on rent = \frac{1}{3}

She spent 1/4 of the remainder on transportation

Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210

Upon simplifying we get,

n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210

n=\left(\frac{2}{9}+\frac{3}{9}\right) n+\frac{1}{4} n\left(1-\frac{(2+3)}{9}\right)+210

On simplification, we get

n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210

\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210

On adding fractions we get,

\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}

Hence, the paycheck amount is $630

3 0
3 years ago
What is 4278649 rounded to the nearest hundred
satela [25.4K]

Answer:

4278600

Step-by-step explanation:

You go to the number that would be in the 100th place (6) look to the number to the right (4), greater than 5 round up less than 5 round down.

3 0
4 years ago
John wrote that 5+5=10.
Anvisha [2.4K]

By the additive property of equality, the equations John wrote are equivalent.

<h3>Additive property of equality: Determining equivalent equations</h3>

From the question, we are to determine if the equations John wrote are equivalent.

From the given information,

John wrote that

5 + 5 = 10

Then,

He added n to both sides of the equation to get

5 + 5 + n = 10 + n

From the Additive property of equality, we have that

"<em>If we add or subtract the same number to both sides of an equation, the sides remain equal</em>."

Since, John added the same number, n, to both sides of the equation, the equations John wrote are equivalent.

Learn more on Determining equivalent equations here: brainly.com/question/21765596

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8 0
1 year ago
Jamelia estimates the square root of 72 in the following way:
Zigmanuir [339]
Part a)
we have that
<span>√72
</span>√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
<span>
</span><span>alternative method</span><span>
72 is equal to-------> 2</span>³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2

Part b)<span>Estimate the square root of 72 to the nearest tenth
</span>
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5

the answer Part b) is 8.5
8 0
3 years ago
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