1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
3 years ago
10

The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased b

y 1 cm, the area of the cardboard would be decreased by 27 cm². What are the dimensions of the original piece of cardboard?
Write and solve an equation to represent the problem.
Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

You might be interested in
Budget
Leno4ka [110]
My guess would be A ! Hope this helps
5 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
FrozenT [24]

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)

y – 3 = –2x + 2

y –3 + 3 = –2x + 2 + 3

y = –2x + 5

5 0
3 years ago
What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of ti
Nitella [24]

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

  • You use credit card and take the money borrow from bank as per your requirement.
  • If you pay in time your credit score increases else decreases.

Option B is correct

7 0
2 years ago
Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou
elena55 [62]
Area of a rectangle:
A = w x h, where w is the width and h is the height.
w = 2.25 yd
A = 1.5 yd²
1.5 = 2.25 · h
h = 1.5 : 2.25 = 0.6667 = 2/3 yd
Answer:
The height of a banner is 2/3 yard.
4 0
3 years ago
Read 2 more answers
Mia bought 2 adult tickets and 4 kid's tickets. Each adult ticket cost $13.50 and each kid ticket cost $10.25. How much did Mia
Citrus2011 [14]

Answer:

Mia spent 68 dollars.

Step-by-step explanation:

The equation would be 2(13.50) + 4(10.25) = x

Solving for the first part, you get 27 for adult tickets and 41 for the children tickets. When you add the two values, you get 68.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 qu
    7·2 answers
  • Leo has a total of 45 cents. He has some dimes and pennies. How many combinations of dimes and pennies could leo have?
    15·1 answer
  • Solve the system of linear equations. separate the x- and y- values with a coma. 6x=-14-8y
    13·1 answer
  • Randomly picking a green card from a standard deck of playing cards
    8·1 answer
  • Add the following amounts: $112,774.50; $49,774.50; $37,622.50; $1,338.00; $1,200.00; $9,984.00; $7,663.50. What is the sum?
    9·2 answers
  • The coordinates of 3 of the vertices of a parallelogram are (-7,3) (-6,1) and (-4,5) what is the equation for the line containin
    13·1 answer
  • Help w algebra problem!!!
    12·1 answer
  • The one all the way at the bottom pleasee
    8·2 answers
  • The value of y varies directly with the value of x, and y = 12 when x = 4.
    6·1 answer
  • You haft too use elimination to solve this thank you
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!