The perimeter of a rectangle is 56 cm . The length of the rectangle can be represented by 6x-7 and it’s width by 2x+3.what are the dimensions of this rectangle in centimeters​

Answers

Answer 1

Answer:

The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.

Step-by-step explanation:

From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:

[tex]p = 2\cdot w +2\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width of the rectangle, measured in centimeters.

[tex]l[/tex] - Length of the rectangle, measured in centimeters.

If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:

[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]

[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]

[tex]16\cdot x-8 = 56[/tex]

[tex]16\cdot x = 64[/tex]

[tex]x = 4[/tex]

And the length and the width of the rectangle are, respectively:

[tex]l = 6\cdot (4)-7[/tex]

[tex]l = 17\,cm[/tex]

[tex]w =2\cdot (4)+3[/tex]

[tex]w = 11\,cm[/tex]

The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.


Related Questions

If 28 strawberries make 4 smoothies how many smoothies make 70 strawberries

Answers

28 ......> 4

70........> x

28x=4(70)

28x=280

X=10

Answer:

i think 10 im not sure dont go for my answer. because i did 70÷7=10 because 28÷4=7

Nathan purchases a digital camera for his family to use on their vacation. The model he purchases is on sale for $129. The sales tax rate for his city is 7%. How much sales tax does Nathan pay on the digital camera?

Answers

Answer
9.03
Explanation
7% of 129

Find the first five terms of the following sequence, not including the oth term:
t(n) = 25+ 8n

Answers

Answer:e

B

Step-by-step explanation:

Eb

what is the aswer need asap

Answers

Hello,

The correct answer is 18.
Hope this helps!! Let me know if you want me to justify my answer.
Brainliest?

What is the image of (−5,9) after a reflection over the y-axis?

Answers

Answer:

(5, 9 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(- 5, 9 ) → (5, 9 )

AYOOOOOO can someone help pls

Answers

Answer:

B

Step-by-step explanation:

look at the arrow on answer B it hits 1 on x axis and 6 on y axis. do the math 6x10=60

Need help plsss
Question is below

Answers

Answer:

Step-by-step ex

its 0.2

Rylee saved $9 on a $60 pair of
shoes. What percent did she save?

Answers

Answer:

Answer is %15

Step-by-step explanation:

9/60 = 0.15

= >0.15 * 100 = 0.15

PLEASE HELP ME ASAP!!​

Answers

Answer:

it would be (1,-3) because those point are in the shaded region. therefore it is a solution

Step-by-step explanation:

Answer:

(1,-3) is right

Step-by-step explanation:

A number squared increased by 5 is 41

Answers

I believe the answer is 6.

There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.

If t stands for hours and the pool is being filled using the equation: 1600=320t+640, how many hours will it take to fill the pool?

Answers

Answer:

4

Step-by-step explanation:

do 320 +320 untill you get to 1,600  

Haley has volunteered to make costumes for the eighth-grade play. She needs to make 6 jester costumes. Each jester costume requires 4 3/4yards of fabric. How much fabric in yards, will Haley use in all?

Answers

Answer:  I believe h\Haley needs 28.5 yards of fabric.

Step-by-step explanation:

4 3/4 x 6 = 28.5

A business had a profit of $4,312.31 in one month. The next month, the business had a loss of
$1,025.19. What was the total profit for these two months?

Answers

Answer:

3287 12

Step-by-step explanation:

subtract the second number from the first number

The total profit for these two months is $3287.12

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given;

Profit of business in first month= $4,312.31

Loss of business in first month= $1,025.19

Total profit= Profit - loss

                =4312.31-1025.19

                =3287.12

So, the profit made will be $3287.12

Learn more about the profit and loss please visit the link given below;

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PLEASE HELPPP
What is the side length if the area of the square is 121 cm??
А
121 cm
B.
11 cm
с
12 cm
D
13 cm

Answers

Answer:

B: 11

Step-by-step explanation:

121 is the area. Since a square is a shape with all even sides you need to find one number that multiplies by itself to get 121. 11x11=121

B: 11

Which equation is shown in the graph?

Answers

the answer is “d” “y=-2x+3”
I think it is a. y=-2x+3

HURRRYYYYYYY PLEASEEEEEEEE

Answers

a it would be a aaaaaaaa


Original price: $70; Markup: 15%. What is theretail price?
If you answer I will give you brain-lest :)

Answers

Answer:

80.50

Step-by-step explanation:

profit=$10.50

i would like a brailiest if you dont mind

Answer:

If it's percents, the answer is 10.5

Step-by-step explanation:

Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Answers

Answer:

the first is linear and the second is exponential

Answer:

Linear and Neither

Step-by-step explanation:

Got the answer from the test because I got it wrong and it said this was the right answer.

A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin. You instead decide to make
mini-muffins, and the recipe yields 20 mini-muffins. If you eat 7 mini-muffins, how many calories will you consume?

Answers

Answer:

If you eat 7 mini-muffins, will you consume 1134 calories.

Step-by-step explanation:

A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin.

i.e.

No of muffins = 12 muffinsCalories per muffin = 270 calories

Total calories of standard muffins = 270 × 12 = 3240 calories

If the same amount of calories are made by 20 mini-muffins, then the total number of calories per mini-muffin will be:

3240/20 = [tex]162[/tex] calories per muffin

As you ate 7 mini-muffins.

Thus,

Your eaten calories = 162 × 7             ∵ 162 calories per muffin

                                 = 1134 calories

Therefore, if you eat 7 mini-muffins, will you consume 1134 calories.

Ling earns $108 for working 9 hours. Rachel earns $77 for working 7 hours. Ruben earns $92 for working 8 hours. Patrick earns $115 for working 10 hours. Who has the highest hourly wage? A. Ling B. Rachel C. Ruben D. Patrick

Answers

Answer:

A. Ling

Step-by-step explanation:

we want to find the hourly earning

Ling earns $108 for working 9 hours.

hourly earnings is

108/9=$12 per hour

Rachel earns $77 for working 7 hours.

hourly earnings is

77/7=$11 per hour

Ruben earns $92 for working 8 hours.

hourly earnings is

92/8=$11.5 per hour

Patrick earns $115 for working 10 hours.

hourly earnings is

115/10=$11.5 per hour

Zoe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 6 hours and charged her $121 for parts. The total was $571. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

571 = 121 + 6x

Step-by-step explanation:

Identify The domain of the rational function, g(x)= 1/x+3
A (-∞, ∞)
B (-∞, 3)U(3, ∞)
C (-∞, -3]U[-3, ∞)
D (-∞, -3)U(-3, ∞)

Answers

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) D

Step-by-step explanation:

The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.

∵ g(x) = [tex]\frac{1}{x+3}[/tex]

The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

The domain = (-∞ , -3) ∪ (-3, ∞)

Sure blame the answer

Answers

Option 3 I’m pretty sure

Maria is trying to estimate y70. She uses this table of values:
Square 8.028.12 8.22 8.32 8.42
8.52
Value
64.0 65.6 67.2 68.9 70.6
72.3
Square 8.628.728.82
8.92 9.02
Value
74.0
75.7 77.4 79.281.0
What should she do next to find y70 to the nearest hundredth?

Answers

Answer:

The answer is A. She should find the squares of numbers between 8.3 and 8.4.

Step-by-step explanation:

I took the quiz

The ages of ten employees at a small company are shown below.

30, 32, 35, 35, 38, 38, 38, 40, 40, 45

If the data set were expanded to include a new employee who is 20 years old, how would the mean of the data set change?

A) The mean decreases by 2 years.
B) The mean decreases by about I .6 years.
C) The mean increases by about 1.6 years.
D) The mean does not change.

Answers

Answer:

B

Step-by-step explanation:

Before you add 20 the mean is 37.1 after you add 20 it’s 35.54.

37.1-35.54=1.56

Round 1.56 to 1.6

Estimate 5,860÷2.1≈
i really need help on it.

Answers

Answer: it 2790

Step-by-step explanation:

The value of 5,860÷2.1 is 2790.

What is division?

In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.

What are the terminologies used in the division?

dividend, divisor, quotient remainder.

Learn more about division here: https://brainly.com/question/25289437

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help I need to know how to do it step by step asap ​

Answers

Answer:

y=1/4x+3

Step-by-step explanation:

what is the answer to this question some one please help me (7−b)+(3b+2)

Answers

Answer:2b+9

Step-by-step explanation:

2b+9. first rearrange. then combine like terms

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

-5

Step-by-step explanation:

[tex]f(x) = - 5 \\ \\ plug \: x = - 4 \\ \\ f( - 4) = - 5[/tex]

Since it is constant function so the value will remain unchanged.

CAN SOMEONE HELP ME PLEASE

Answers

No I can not ask nicer
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