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
alexandr402 [8]
3 years ago
12

The length of a rectangle is 2 inches more than a number. The width is 1 inch less than twice the same number. If the area of th

e rectangle is 42 in2 find the dimensions of the rectangle
Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

length: 6 inches

width: 7 inches

Step-by-step explanation:

Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:

42 = (n+2)(2n -1) = 2n^2 +3n -2

2n^2 +3n -44 = 0 . . . . subtract 42

(n -4)(2n +11) = 0 . . . . . factor

n = 4 . . . . . . . . we aren't interested in the negative solution

Length = 4+2 = 6 . . . inches

Width = 2·4 -1 = 7 . . . inches

You might be interested in
Find the sum using the formulas for the sums of powers of integers ( problem attached )
Natasha2012 [34]

Correct Answer: - 550

We can use the distributive property to distribute the summation to the variables and then get the constant out to apply the summation formulas as shown below in the attached image.

The equation editor does not have a summation symbol, so I have attached the solution using the image.

The correct answer to this question is -550. First option is the correct one.

7 0
3 years ago
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs
hodyreva [135]

Answer:

x + y = 500

215x + 615y = 187,500

Step-by-step explanation:

The first equation can show the amount of land.  The farmer has 500 acres to plant corn, x, and cotton, y.

x + y = 500

The second equation can show the cost.  The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.

215x + 615y = 187,500

The system of equations is

x + y = 500

215x + 615y = 187,500

4 0
3 years ago
Lauren says the two expressions 3x+4(2x+5) and 6x +5x+5 are equivalent
Allisa [31]

Answer:

so, lauren isn't correct

Step-by-step explanation:

3x + 4 (2x + 5) = 6x + 5x + 5

3x + 8x + 20 = 11x + 5

11x + 20 ≠ 11x + 5

8 0
2 years ago
Helooooo?!!!!! 30 whole points
pentagon [3]

Answer:

I believe C, or the answer you have chosen, is correct.

Step-by-step explanation:

In this question, we add like, AKA similar, terms.

There is nothing to match x^2, so we leave it alone and put it at the head of equation since it has the highest power:

x^2

There is nothing to match -x, so we also leave it alone and put it next to x^2, keeping its sign:

x^2 - x

We can add 1 and 5 to get 6, so we put 6 next to the -x to get our final equation:

x^2 - x + 6.

See how easy that was? :) Hope this helps you and you get a good grade on your test!!

Please rate my answer and give me Brainliest!!!!

Have an awesome rest of your day! :)

7 0
3 years ago
Which three temperatures represent the same temperature?
Elena L [17]

d ) 100°C, 212°F, 273 K


4 0
3 years ago
Read 2 more answers
Other questions:
  • How can someone convert 150 kph to mph?
    12·1 answer
  • Angelica swims 14 3/7 hours per month. If she swims the same amount every month, how many hours does she swim in 6 months?
    14·2 answers
  • Can someone help me with number 10? Thank you.
    9·1 answer
  • Answer quick please brainliest (:
    15·2 answers
  • The height of a fireworks rocket in meters can be approximated by h= -5t^2+30t, where h is the height in meters and t is the tim
    6·2 answers
  • Solve: -7(3+6x)=9(-5x+7)
    6·2 answers
  • 3.1 = x / 2 equals what?
    9·1 answer
  • If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
    5·1 answer
  • What is the m∠ACD, if m∠ABC = 37?
    5·2 answers
  • Help me please i need the lenght of yz . . . . . . . . . .. . . . . . .
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!