The length of a rectangle is 6 yd longer than its width. If the perimeter of the rectangle is 76 yd, find its length and width.

Answers

Answer 1

Answer:

W=16

L=21

Step-by-step explanation:

76=2W+2(W+6)

    =2W+2W+12

76=4W+12

64=4W

    4

16=W

check:

L=16+6=22

P=2(22)+2(16)

=76

Answer 2

The length is 22 unit and width is 16 unit.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

The length of a rectangle is 6 yd longer than its width.

If the perimeter of the rectangle is 76 yd.

let the width be x then length is (x+ 6).

So, Perimeter of rectangle = 2(l + w)

76 = 2(x + x +6)

38 = 2x+ 6

2x = 32

x = 32/2

x = 16

So, the length is 22 unit and width is 16 unit.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2


Related Questions

If 3x−y=12, what is the value of 8x and 2y?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answers

Answer:

With the information that you provided it is D

Haru if you have more information you can repost and I will change the answer

Step-by-step explanation:

Answer:

A) 212

Step-by-step explanation:

y+6≠ 4

please help me

Answers

Answer:

[tex]y+6≠ 4 \\ y≠ 4 - 6 \\ y≠ - 2[/tex]

Find the value of X, show work​

Answers

Answer: 0

Step-by-step explanation: you just have to divide a little bit then you just multiply.

Answer: x=7.2

Step-by-step explanation:

Use the Pythagorean theorem:a^2+b^2=c^2 c being the hypothenuse and b and a being the other 2 sides

so 7.8*7.8=60.84 3*3+9 60.84-9=51.84 then the square of that would be 7.2 so x=7.2

At a restaurant, 36%
of the customers
are vegetarians. If there are 200 people
in the restaurant,
how many of them
are not vegetarians?

Answers

Answer:

128

Step-by-step explanation:

72 people are vegetarians so 200-72=128

find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or < than 3dx^2 - 3 if x > 3

Answers

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

Additional comment

With these values, the function becomes ...

  [tex]f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}[/tex]

In a class of 25 students, 80% attended the field trip to the science museum.

There were students who did not attend the field trip.

Answers

Answer:

5 kids didn't attend

Step-by-step explanation:

80 percent of 25 is 20 so 5 didn't go

In 2013 the population of Indonesia was 200 million. The population was increasing by 2.3% per year. What will the population of Indonesia be in 2022.

Answers

Answer:

241,400,000

Step-by-step explanation:

200,000,000×100÷2.3= 4,600,000

2022-2013= 9

4,600,000×9= 41,400,000

200,000,000 + 41,400,000 = 241,400,000

Answer:

241,400,000

Step-by-step explanation:

200,000,000×100÷2.3= 4,600,000

2022-2013= 9

4,600,000×9= 41,400,000

200,000,000 + 41,400,000 = 241,400,000

I'll GIVE BRAINLY!! PLZ EXPLAIN


Solve the following quadratic function by utilizing the square root method.
y=16-4x^2

Answers

Answer: y = 14x^2 + 16

Step-by-step explanation: Sorry if it wrong and plz let me know.

Answer:

The answer is x= 4 root

Step-by-step explanation:

because 16-4^2, now 4^2=16 because 4x4, so 16/4= 4 which is x, but rooted

I’d like to understand this problem broken down into steps that are easily understood
-2x+7=3-(-2x)

Answers

Answer:

X = 1

Step-by-step explanation:

-2x + 7 = 3 - ( -2x)

-2x + 7 = 3 +2x (- - = +) (+ + = +) and (different signs always negative: - + = -)

(any term or numbers moved from one side of the = sign goes from negative to positive or from positive to negative, from multiplying to dividing and from dividing to multiplying. First isolate the additions or subtractions.)

-2x + 7 = 3 + 2x

-2x + 7 - 3 = 2x

-2x + 4 = 2x

4 = 2x + 2x

4 = 4x (a number next to a letter is multiplying. It goes to the other side of the equation dividing)

4 /4 = x

X = 1

☆Answer :

-2x + 7 = 3 - (-2x)

-2x + 7 = 3 + 2x

-2x - 2x = 3 - 7

-4x = -4

x = 1

Select each equation which is equivalent to 60% of 25.
0.6 • 25 = x
x • 1.6 = 25
610=x25
60100=25x
x25=60100
6.0 • 25 = x

Answers

Answer:

answer is 0.6 x 25 = x

Step-by-step explanation:

to find % of number, you simply just need to convert the percent to a decimal, which is done by division of 100.

60 / 100 = 0.6

Midpoints
H is the midpoint of iJ, and IH, = 0.75. What is the value of HJ?

Answers

IH + HJ = 2 (IH)

0.75 + HJ = 2(0.75)

0.75 + HJ = 1.5

HJ = 1.5 - 0.75

HJ = 0.75

y= -2x+5 what is the answer

Answers

Answer:

???

Step-by-step explanation:

What is x, if you know what x is maybe I could help you?!?

Answer:

x=5/2

Step-by-step explanation:

y= -2x + 5

0 =-2x+5

2x=5

Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $50
more than Seiji.
(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount
Gavin earned.
(b) Graph the equations in the system. Let the x-axis = Seiji and the y-axis = Gavin. (Complete the
numbering on the axis)
(c) Use your graph to estimate how much each person earned.

Answers

[a] If the total is 450 and Gavin (g or y) earned 50 more than Seiji (s or x) then we can create the following system:

{ s + 50 = g

{ g + s = 450

[b] See attached

[c] Gavin earned $250 and Seiji earned $200

    Using the graph, we will look at where the points intercept. The x will be Seiji, and the y will be Gavin. Using this, we can see the answer is (200, 250) leaving Seiji with 200 dollars and Gavin with 250 dollars

    (there is also a simpler way to do this, but as I was following the assignment I think this is what you need!)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

if a cylinder with a radius of 2cm has a volume of 314cm^3, what is the height of the cylinder? assume 3.14 for pi

Answers

Answer:

25 cm

314 cm^3 = 3.14 × 2^2 × h

h = 314 ÷ 4 ÷ 3.14

h = 25 cm

1 1\4-2\7 show your work

Answers

Answer:

27/28

Step-by-step explanation:

You would have to find the LCM of 4 and 7, which is 28. Then you multiply the numerators by the same number you multiplied on the denominator. You would then get 1 7/28 - 8/28 = 35/28 - 8/28 = 27/28.

What is the constant in this
expression?
8x – 2 - 6x^3

Answers

Answer:

Step-by-step solution :

STEP

1

:

Equation at the end of step 1

 (23x2 -  6x) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  8x2-6x-3  

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   8 • -3 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -6 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5  

     -2    +    12    =    10  

     -1    +    24    =    23  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 6x - 3

What is the maximum value of 5 - 4x - x2 and the value of x for which the maximum occurs? Explain your answer.​

Answers

Answer:

Max value: 9

Max x value: -2

Step-by-step explanation:

We're trying to find the vertex of y = 5 - 4x - x²

We can try to convert this equation to vertex form

First, subtract 5 from both sides

y = 5 - 4x - x²

- 5  -5

y - 5 = -4x - x²

Then add -4 to both sides (this is because this the sqaure of half b -4)

y - 5 - 4 = -4x - x²+ 4

y - 9 = -4 - 4x - x²

Factor the right side of the equation

y - 9 = -(x + 2)(x + 2)

y - 9 = -(x + 2)²

Add 9 to both sides

y - 9 = -(x + 2)²

 + 9      + 9

y = -(x + 2)² + 9

To find the max values we have to make it to where x + 2 = 0

x + 2 = 0

  - 2     - 2

x = - 2

When we make equation inside the parenthesis 0, we get y = 9

y = -(-2 + 2)² + 9

y = -(0)2 + 9

y = 9

What percent is represented by the shaded portion on this 10 × 10 grid?

A grid model has 100 squares. 76 squares are shaded.
StartFraction 7.5 Over 100 EndFraction percent
StartFraction 75 Over 100 EndFraction percent
7.5%
75%
please answer tihis quick I am timed

Answers

Answer:

75/100

Step-by-step explanation:

Jared predicted that the number of mango trees, x, planted in a farm could yield y = (x + 40)² + 60 mangoes per year. If you will graph the number of mango trees, planted per year what is the turning point? *

a. (-4,6)
b. (4,6)
c. (40,60)
d. (-40,60)​

Answers

Answer:

the option d is the correct answer

Jerome has $11 for his lunch. Mini hamburgers cost $2 each and fries cost $1. Write and solve an equation to determine how many mini hamburgers Jerome can buy if he orders a single order of fries.

please help​

Answers

Answer:

8 Dollars for the hamburger and fry meal. then use the extra two dollars for a drink.

Step-by-step explanation:

Graph the piecewise function

f(x)= {-2x-3 if -1

Answers

If my calculations are correct the answer should be 5

33.33333333333 as a fraction?

Answers

Answer:

33/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

3333333333333 / 100000000000

I know I'm in 8th grade but I have dyslexia and I don't learn like others I need help on the easiest way to divide :)

Answers

Answer:

Chunking is best for smaller numbers and arithmetic. Short division is great for dividing larger numbers by one digit numbers. Long division is handy for dividing large numbers by numbers with 2 or more digits.

Step-by-step explanation:

plz help

25pts and brainliest

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{7}{8}.(- 16).(- 7).(- \frac{1}{14}) \\\\\\\ 7.(- 2).\frac{7}{14} \\\\\\\ 7.(- 2).\frac{1}{2} \\\\\\ 7.(- 1) \\\\ - 7[/tex]

I hope I've helped you.

Please, I really need help with this, I can't get the right answer, Please and thank you

Answers

Answer:

I believe that y=7I'm not sure what your tring to figure out

Calculate the Land Transfer Tax on a house for 248000

Answers

Answer:Calculate the Land Transfer Tax on a house for 248000

   Calculation example

1.multiply $55,000 by 0.5% (55,000 × 0.005) = $275.

2.multiply the amount exceeding $55,000 up to $250,000 by 1.0% (195,000 × 0.01) = $1,950.

3.multiply the amount exceeding $250,000 up to $400,000 by 1.5% (150,000 × 0.015) = $2,250.

Step-by-step explanation:

a x + 2 d = 2 c x + 5 b

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

FAST NOW! HELP ASAP
GET RIGHT YOU GET BRAINIEST

Answers

Answer:

21 inches squared

Step-by-step explanation:

i think thats the answer???

Answer:3x7=21

Step-by-step explanation:

multiply 3x7 and its 21

44:53

Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left?





Answers

Answer:

Given coordinates on the graph is (4,0), (8,10), (12,20).

We need to find the rate of change for the function graphed.

Actually rate of change is the second name of slope.

So, we need to find the slope between given coordinates.

We know slope formula

Let us choose first two coordinates (4,0), (8,10).

(x1,y1) = (4,0) and (x2,y2) = (8,10).

Plugging values of x1,x2,y1 and y2 in slope formula, we get

Slope=

Therefore, rate of change is 5/2 or $2.5 earned per bookmark sold.

Step-by-step explanation:

PLz Mark as Brainliest

in each diagram below, line A is parallel to line B. in which diagram does the alternate interior angle postulate justify angle 1 being congruent to angle 2

Answers

Answer:

Step-by-step explanation:

a

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