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
vaieri [72.5K]
3 years ago
7

The area of a rectangle is 52 yd^2 , and the length of the rectangle is 5 yd less than twice the width. Find the dimensions of t

he rectangle.
Mathematics
1 answer:
grin007 [14]3 years ago
3 0
Let the width be w.
The length is 5 yd less than twice the width, so the length is 2w-5.
The area is LW, and the area is 52 yd^2


LW=A
(2w-5)(w)=52

2w^2-5w=52

2w^2-5w-52=0

2w^2 - 13w + 8w - 52 = 0

w(2w - 13) + 4(2w - 13) = 0

(2w - 13)(w + 4) = 0

2w - 13 = 0 or w + 4 = 0

2w = 13 or w = -4

w = 6.5 or w = -4

Since a width cannot be a negative number, discard the solution w = -4.

The width is 6.5 yd.
The length is 2w - 5 = 2(6.5) - 5 = 13 - 8 = 8
The length is 8 yd.

The length is 8 yd, and the width is 6.5 yd.
You might be interested in
2x + 2y = -2<br> 3x - 2y = 12<br> Solve By Elimination<br> Pls give me the hole equation
Sholpan [36]

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

8 0
3 years ago
Which expression use the associative property to make it easier to evaluate 20 (3/5 × 6)
Marizza181 [45]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please Help me!
hoa [83]

Answer:

domain (-4,infinity) range (negative infinity, infinity)

Step-by-step explanation:

The domain is the x axis. the x axis starts at -4 and keeps going meaning it goes to infinity. the range is the y axis. the range has no determined starting point or end point meaning it goes to negative infinity and positive infinity

8 0
3 years ago
If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course
faltersainse [42]
The formula for percentage is:

is/of = %/100

In the given problem,
is = ?
of = 25
% = 80

We get,

?/25 = 80/100

"is" is unknown so let "is" be "x"

x/25 = 80/100

We have to cross multiply.  Meaning, we will multiply the numerator of one fraction by the denominator of the other fraction. Therefore,

100x = (80)(25)
100x = 2000
x = 20

The answer is 20.  The basketball player is expected to make 20 free throw shots out of 25 in the entire game.
6 0
4 years ago
Need to know a number bio for 5/8 break apart 3 ways
Fynjy0 [20]

Answer:

.208333... (as a fraction 5/24)

Step-by-step explanation:

5 divided by 8 = 0.625

.625 divided by 3 = .208333...

5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

7 0
4 years ago
Other questions:
  • Select all the terms that are like terms.
    6·1 answer
  • The b point slope form of a line that has a slope of-2 and passes through point (5,-2)
    9·1 answer
  • The distance around the outside of Cedar Park is 0.8 mile. Joanie ran 0.25 of the distance during her lunch break. How far did s
    13·2 answers
  • Help me please? Thanks!
    15·1 answer
  • 10-4x= -9x <br><br> I need help quick
    11·2 answers
  • HELP ME PLSSSSSSS!!!!!!!!!
    6·1 answer
  • What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4​
    14·1 answer
  • Help anyone can help me do this question,I will mark brainlest.​
    5·1 answer
  • 2. Put the following fractions in order of size, starting with the one with the least value:
    15·2 answers
  • A vase is in the shape of a rectangular prism. It has a base area of 40
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!