All categories

3 years ago

The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Mathematics

1 answer:

Stella [2.4K]3 years ago

5 0

Answer:

$\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}$

Step-by-step explanation:

$\star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}$

$\star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}$

$\star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}$

$\boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}$

$\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}$

$\text{Step \: 1 : \: Collect \: like \: term}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}$

$\hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}$

$\hookrightarrow{ \sf{2(5x - 5 + 4)}}$

$\text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}$

$\text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}$

$\hookrightarrow{ \sf{2(5x - 1)}}$

$\text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}$

$\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}$

$\hookrightarrow{ \sf{10x - 2}}$

$\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}$

$\text{Hope \: I \: helped !}$

$\text{Best \: regards ! }$

~ $\text{TheAnimeGirl}$

You might be interested in

Solve this:<br><br>16<x+9 or 18≤x+9

soldi70 [24.7K]

1) 16 < x + 9

x + 9 > 16

x > 16 - 9

x > 9

2) 18 ≤ x + 9

x + 9 ≥ 18

x ≥ 18 - 9

x ≥ 9

_______

Hope it helps ⚜

5 0

2 years ago

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

4 0

3 years ago

I screenshotted my question.

andrey2020 [161]

Answer:

Step-by-step explanation:

Hello,

$4-4x\leq 24\\\\\text{We can divide by 4.}\\\\1-x\leq 6\\\\\text{We can add x.}\\\\1\leq x+6\\\\\text{We can subtract 6.}\\\\1-6=-5\leq x \large \boxed{\sf \bf x \in [-5;+\infty[}$

Thanks

3 0

3 years ago

Read 2 more answers

Another One I need help withhhh sorrry

Effectus [21]

Answer:

y = 2x+3

Step-by-step explanation:

Sorry I'm probably too late since Quizziz doesn't wait unless you have the freeze timer thing.

y = mx+b

b is the y intercept. The y intercept (when x=0) is given in the table.

Now plug a coordinate in to solve for m.

My coordinates: (1,5)

5 = m + 3

Solve.

2 = m

m = 2

Note: never plug in the y intercept when looking for m.

You can also find the slope by (subtracting the y value of one coordinate from another y value of another coordinate)/(subtracting x value from the first y coordinate above from the x value from the second coordinate).

In this case, it'd be

m = (7-5)/(2-1)

m = 2/1

m = 2

6 0

3 years ago

choli [55]

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

5 0

3 years ago