The length of a rectangle is twice as great as its width. When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches. Show an equation to find the length and width of the original rectangle. Solve the equation and give the original length and width.

Answers

Answer 1

Answer:

Original rectangle

Length = 20 inches

Width = 10 inches

Step-by-step explanation:

Let

Original rectangle

Width = x

Length = 2x

When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches

New rectangle

Width = x + 5

Length = 2x + 5

Perimeter = 80 inches

Perimeter of a rectangle = 2(length + Width)

80 = 2{(x+5) + (2x+5)}

80 = 2( x + 5 + 2x + 5)

80 = 2(3x + 10)

80 = 6x + 20

80 - 20 = 6x

60 = 6x

x = 60 / 6

= 10

x = 10 inches

The length and width of the original rectangle

Width = x

= 10 inches

Length = 2x

= 2(10)

= 20 inches


Related Questions

2
Find the equation of a parabola with a vertex at (2, 4) and a known point at (-5, 2).
f (x) =

Answers

Answer:

           f(x) =  -²/₄₉(x - 2)² + 4

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - p)² + q

vertex is (2, 4)  so  p = 2,  q = 4

so:

   f(x) = a(x - 2)² + 4

the parabola goes through the point (-5, 2) so  x=-5,  f(x)=2

  2 = a(-5-2)² + 4

  - 2 = a(49)

    a = -²/₄₉

Therefore the equation of the parabola in vertex form:

f(x) = -²/₄₉(x - 2)² + 4

Help me Plzzzzz!! ASAP!

Answers

All I can really say it it would be a linear function and the y axis is -3 but I can’t really help if I don’t know what the question is to the problem

On the first play, Calob gained 11 yards. But

during the second play he lost 4 yards. He

gained 3 yards on the third play. Which

expressions represent this situation?

Answers

Answer:

-12 + 5(3) = total yards at the end

So your answer would be 3 yards

Step-by-step explanation:

Angle Pairs Relationships HW
Accessibility Mode

Pictures above

Find the value of each variable

1. A= ?
B= ?
C=?

2. A=?

3. A=?
B=?
C=?

Answers

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

B = 55

C = 25

Solve for indicated variable 4y + 3x= 5 for x

Answers

Answer:

4y + 15

Step-by-step explanation:

if there is 1$ in taxes on 25$ worth of clothing, what percent is paid for the 25$ in clothing?

Answers

Answer:

Well it would be 4 percent

Step-by-step explanation:

Thinm of it this way, if you mutliply 25 times 4 it equals 100 then mulitply then 1 dollar by 4 getting 4 dollars worth of tax making it 4 percent of the total ckst

A number increased by
7 is less than 14

Answers

Answer:

7

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

x+7 < 15

x < 8

...........

Please help!!!
Geometry

Answers

Answer:

estimately 10.3

Step-by-step explanation:

Which expression is NOT equivalent to 4 x 3/8

Answers

Answer:

yea

Step-by-step explanation:

please help!!

Find the measure of angle Q and length of QR.


The perimeter of QRS is 344 cm. m QR= _______

Answers

Answer:

[tex]m\angle {Q}[/tex] = 56°

QR = 167

y = 136

Step-by-step explanation:

The other answer on the red box is 7.

Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

9*8 is 72-33 is 39

The table shows how fast four students ran the 200-meter dash.

200-Meter Dash Results
Student Time (seconds)
Ben 40.53
Katie 34.02
Griffin 29.80
Kristin 44.56

How much faster did Griffin run the 200-meter dash than Ben? Enter your answer in the box.

Answers

Answer:

Griffin was 10.73 seconds faster than Ben

Step-by-step explanation:

Here, given the information in the question, we want to know how faster was Griffin than Ben in the race

Mathematically, that will be;

|29.80 - 40.53| = 10.73

This shows that Griffin was 10.73 seconds faster than Ben

A scale drawing of a playground is shown below.
PLAYGROUND
2.5 in.
KEY
1 in. = 40 ft.
3 in.
1 in.
4.5 in.
Using this scale, what is the area, in square feet, of the playground?
540 square feet
450 square feet
440 square feet
380 square feet

Answers

Hm... I think 440 Square feet..?

answer both please :))))

Answers

Answer:

Y-intercept (0,4)

X-intercept (0,2)

Step-by-step explanation:

It the point where the line crosses the y or x intercept

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a

Answers

Answer:

not equivalent

Step-by-step explanation:

2a+11

5+9/2a

Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

fafg and then do the 2a ab 2b

Step-by-step explanation:

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answers

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

[tex]6y + 13y - 10 = 180[/tex]

[tex] 19y - 10 = 180[/tex]

[tex]19y = 180 + 10[/tex]

[tex]19y = 190[/tex]

[tex]y = \frac{190}{19} [/tex]

[tex]y = 10[/tex]

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

[tex]60 + 9x + 12 = 180[/tex]

[tex]9x + 72 = 180[/tex]

[tex]9x = 180 - 72[/tex]

[tex]9x = 108[/tex]

[tex]x = \frac{108}{9} [/tex]

[tex]x = 12[/tex]

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .

Multiply the polynomials (3x+4)(5x+1)

Answers

Answer:

15x^2 + 23x + 4

Step-by-step explanation:

(3x+4)(5x+1)

You put them around a square, like in the picture.

You then cross multiply them.

After that, add all the numbers together.

Hope this helped!

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

Answers

Answer:

It equals -2

Step-by-step explanation:

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

If you read 28 pages a hour how many for hours per 1 page

Answers

Answer: 46.7

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

[tex]\frac{x}{1}= \frac{1}{28}[/tex]

cross multiply and you get 1/28

Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation



B.How much was Candice paid

Answers

(x - 45) / 3 = 192

Let's solve for x to find how much Candice was paid. Multiply both sides by 3

(x - 45) = 576

Add 45 to both sides.

x = 621

Candice was paid $621



Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.


When m2 = m3




none

Answers

Correct answer is C) none

I did the assignment, the other answer is incorrect.

Evaluate the following . 3^7 x 3^4

Answers

Answer:

Step-by-step explanation:

This is about the rules of indices.

Multiplication of number with powers are addition for example:

a^n × a^m = a^n+m

So 3^7 × 3^4

3^7+4

3^11

Adiosss

By the way if I'm wrong let me know

Answer:

3^11 or 177147 or 1.77147x10^5

Step-by-step explanation:

7+4=11

y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope, in this equation it is a slope of 5.

The given lines are parallel in nature.

What is slope?

Numerical measure of a line's inclination relative to the horizontal.

Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.

Given:

y = 5x + 2 and y = 5x – 1

The slope for line 1 is 5.

and, the slope for line 2 is 5.

For, perpendicular line the slope of both lines are negative inverse relation.

But here the slope of both line are same which have parallel nature.

Hence, both lines are parallel in nature.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500

Answers

$1,365 is the answer, (the third choice)

Answer:

c

Step-by-step explanation:

bc

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

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