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3 years ago

The length of a rectangle is 2 units shorter than one-fifth of the width, x. what is the perimeter of the rectangle

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

L -2= (1/5)w

P = 2l +2w

P = 2((w/5)+2) +2w

P = 2((10+w)/5 +2w

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AysviL [449]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su

irinina [24]

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression $24\div(12-8)\times 6+3$

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression $24\div(12-8)\times 6+3$

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

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3 years ago

The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform t

shtirl [24]

Answer:

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

Step-by-step explanation:

As the given Augmented matrix is

$\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 1 :

$r_{1}$ ↔ $r_{1} - r_{2}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 2 :

$r_{3}$ ↔ $r_{3} - 8r_{1}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right]$

Step 3 :

$r_{2}$ ↔ $\frac{r_{2}}{7}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right]$

Step 4 :

$r_{1}$ ↔ $r_{1} + 14r_{2}$ , $r_{3}$ ↔ $r_{3} - 124r_{2}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right]$

Step 5 :

$r_{3}$ ↔ $\frac{r_{3}. 7}{254}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right]$

Step 6 :

$r_{1}$ ↔ $r_{1} - 4r_{3}$ , $r_{2}$ ↔ $r_{2} + \frac{1}{7} r_{3}$

$\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right]$

∴ we get

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

6 0

3 years ago

Marriyam was given $75 for a birthday present. She's going to use that gift, plus the earnings from her summer job, to buy a ska

DanielleElmas [232]

Answer:

250.

Step-by-step explanation:

She Has 75 In Total,

Skateboard Costs = 325 Dollars.

75-325 = 250, So She Needs To Earn 250.

Since 1 Hour = 1 Dollar,

She Needs To Work 250 Hours.

I Apologize For A Wrong Answer Incase.

4 0

3 years ago

Read 2 more answers