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vodka [1.7K]
3 years ago
12

the perimeter of a rectangle brownie pan is 50 Inches. the lenght of the pan is 5 less than twice the width. write a system of e

quations to help determine the length and width.
Mathematics
1 answer:
Serga [27]3 years ago
6 0

Answer: The system of equation is,

2 ( x + y ) = 50

x = 2 y - 5

Step-by-step explanation:

Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.

Thus, the perimeter of the brownie = 2 ( x + y )

But, According to the question,

Perimeter of the brownie = 50,

2 ( x + y ) = 50

The length of the brownie is 5 less than twice the width,

That is, x = 2 y - 5

Thus, the required system of equation is,

2 ( x + y ) = 50 , x = 2 y - 5


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The sum of one-fifth of a number and two is five
Veseljchak [2.6K]

Answer:

15

Step-by-step explanation:

Let us first write an equation where the unknown number is represented with variable x. <em>The sum of a fifth of x and two is five:</em>

\frac{1}{5} x+2=5

Great! Let's solve for x by isolating the variable.

\frac{1}{5}x=3\\x=15

<u>Therefore, the unknown number is 15.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

3 0
3 years ago
the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
A car travels 150 miles in 2 hours. Which of the following represents a corresponding unit rate? Choose all that apply.
azamat
The answer is C.) 1.25 miles per day
6 0
2 years ago
23 – 7x2 + 19x – 19 is divided by 3 – 3?<br> result in the form q(x) + baby
snow_tiger [21]

Answer:

=−7x2+19x+ 41/3

Step-by-step explanation:

5 0
3 years ago
For somebody that need it
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Answer:

is there a question in this? lol, if not, tyy!!

Step-by-step explanation:

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