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
pantera1 [17]
3 years ago
14

Ed’s den is 6 feet longer than it is wide. If the​ den's area is 352 square​ feet, what are the dimensions of the​ room?

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Let's set W as the width of the room and L as the length of the den. We know that the den is 10 ft longer than it is wide so that means:

W + 10 = L

Let's call this equation 1.

So also know that the area of the den is 144 ft2. Knowing that the equation for the area of a square is W x L, we know that for this den:

W x L = 144

Let's call this equation 2.

So now we have 2 equations and 2 unknowns. Let's take equation 1 and solve for W:

W = L - 10

Now we can substitute this value into equation 2.

(L - 10) x L = 144

L2 - 10L = 144

This looks very close to a quadratic equation. In fact, if we subtract 144 from both sides, we get the quadratic equation of:

L2 - 10L - 144 = 0

Now we can factor this equation into:

(L+8)(L-18) = 0

That means the two answers for L are -8 ft and 18 ft.

We can now substitute these values for L into equation 1 to solve for W.

W = L - 10

W = 18 - 10 or W = -8 - 10

So our 2 values for W are 8 ft and -18 ft.

Let's just make sure we did this correctly. We know that the area is 144 so (-8*-18) and (18*8) should equal 144 and it does! That means we did it correctly. Give that a den exists, it does not make sense that it has negative values, so the one real answer for this problem is that the width is 8 ft and the length is 18 ft.

You might be interested in
What is the variance of the values 8,10,14,12?
svetoff [14.1K]
The mean of the numbers is 11 now all you have to do is take 11 and subtract it from the squared difference. 
3 0
3 years ago
How do you calculate a nation's per capita income? A. Divide the total income by the size of the population. B. Divide the size
lara [203]

Answer:

A

Step-by-step explanation:

The per capita income is the income of a person in a nation. The per capita is calculated by dividing the gross income of the nation by total population.

Let

Pci = Per Capita Income

I = Total income

and

P = Total population

Then,

Pci = I/P

3 0
3 years ago
Read 2 more answers
Which set of ordered pairs represents a function?
Papessa [141]

Answer:

{(3,6),(2,1),(-8,4),(2,0)}

Step-by-step explanation:

when determining if a set of points is a function

determine if any of the x values or y values repeat. if they do then it is not a function because it will not pass the function like test. (which is where you can draw a line trough the function and it will hit more than once.

none if the x values repeat and none if the y values do either.

x values : 3,2,-8,2

y values: 6,1,4,0

8 0
2 years ago
Using the compensation strategy. 4,153+2,988
makvit [3.9K]
4,153+2,988
-12 +12
4,141+3,000

3,000+4,000=7,000
7,000+141=7,141
5 0
3 years ago
Solve for n.<br> 3/4 x n = 1
cestrela7 [59]
3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3
3 0
2 years ago
Other questions:
  • I need help with this plz help someone plz help me plz as soon as possible plz ASAP
    10·2 answers
  • The vertex of this parabola is at (-5, -2). When the x-value is -4, they-value is 2. What is the coefficient of the squared expr
    15·1 answer
  • Which is greater 0.7 or 3/4
    14·2 answers
  • mindy picked 4 times as many daisies as tulips for a flower bouquet.she picked a total of 20 flower.how many more daisies than t
    15·1 answer
  • The points (1, 1), (2, 3), (4, 3), and (5, 1) are the vertices of a polygon. What type of polygon is formed by these points?
    7·1 answer
  • The standard deviation is used in conjunction with the _________ (range/variance/median/mean/mode) to numerically describe distr
    12·1 answer
  • 2) translation: 3 units down
    14·1 answer
  • PLeAsE HeLp mEh aHhHhHhHhHhHh
    15·1 answer
  • A) what is the area of a square park whose perimeter is 2000m.
    15·1 answer
  • I need help in algebra
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!