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
Degger [83]
2 years ago
7

The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32

Mathematics
1 answer:
Sauron [17]2 years ago
4 0

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: Area\:of\:rectangle=Length\times Width

Putting values and finding width of rectangle

Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

You might be interested in
Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If t
Oksana_A [137]

2x+3y=55

Step-by-step explanation:

5 0
2 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.
laila [671]

Answer:

  • 210 miles

Step-by-step explanation:

The scale is

  • 1 in = 60 miles

Find the distance of equivalent to 3 1/2 in

  • 3 1/2 * 60 miles =
  • 3*60 + 1/2*60 miles =
  • 180 + 30 miles =
  • 210 miles
5 0
1 year ago
Mathematics, 04.03.2020 23:32 jtoole5341 DIVISION OF PROFITS Tom 20% Ellen 30% Sarah 25% Joel 25% Tom, Joel, Sarah, and Ellen di
inn [45]

9514 1404 393

Answer:

  $738

Step-by-step explanation:

The ratio of Ellen's share (e) to Tom's share is ...

  30%/20% = e/492

Multiplying by 492, we have ...

  e = 492(3/2) = 738

Ellen's share of the profits is $738.

8 0
3 years ago
hey, if y'all want any advice or help(ON ANYTHING), I'll always be here for you!! I like to help others out even when I need hel
Marina86 [1]

Answer:

I posted a question not too long ago, no one has answered yet and I'm almost done with the assignment, help would be greatly appreciated! :)

3 0
3 years ago
Other questions:
  • Murphy and Naryam do their homework together. When they get to 9 - (-8) they get different answers. Murphy claims that the answe
    11·1 answer
  • In right trapezoid MNPQ
    5·1 answer
  • Given a regular decagon, find the measures of the angles formed by (
    6·1 answer
  • Estimate the unit rate justify your answer $299 for 4 tires
    9·1 answer
  • Use transitive property to solve this variable
    6·1 answer
  • The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
    15·1 answer
  • Simplify the expression below:<br> 7 a2 + 10a - 3a – 2a2
    14·1 answer
  • Factorise x^2-3xy-18y^2<br><br>plzzzzz it's urgent​
    15·1 answer
  • The table shows a ratio used to make orange paint. Using the table, how many quarts of yellow paint would be required to make th
    11·1 answer
  • What is the area of this quadrilateral?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!