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
Yuri [45]
2 years ago
9

The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is

the length?
Mathematics
1 answer:
zzz [600]2 years ago
6 0
<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>

l = 2w - 3

2l + 2w = 42

Because we have a value for l, we can plug it into the second equation to solve for w.

2(2w - 3) + 2w = 42

Distributive property.

4w - 6 + 2w = 42

Combine like terms.

6w - 6 = 42

Add 6 to both sides.

6w = 48

Divide both sides by 6.

w = 8

Now that we have a value for w, we can solve for the exact value of l.

l = 2(8) - 3

l = 16 - 3

l = 13



You might be interested in
The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the
yawa3891 [41]

Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

6·x² - 38·x + 39 = 0

x² - 19/3·x + 6.5 = 0

x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

∴ x = 1.288, or 5.045

At x = 1.288, we have;

V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

V ≈ 22.99 in.³

When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

Therefore;

V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5

The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

8 0
3 years ago
A rate that compares quantity to 100 is called a ________.
PIT_PIT [208]
 it  is  called  a  percent.
8 0
3 years ago
Read 2 more answers
What is FC in the figure?
Harlamova29_29 [7]
FC is median..

Median is a line from a vertex that equally divides the opposite side...
here FC divides DB therefore it is a median.....



HOPE IT HELPS YOU '_'
8 0
2 years ago
Read 2 more answers
Find the area of the shape.
Anna35 [415]

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

5 0
3 years ago
Which linear inequality is represented by the graph?
Romashka [77]

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

7 0
3 years ago
Other questions:
  • Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
    13·2 answers
  • Can someone please help me on this
    6·1 answer
  • What is three fiths of 65
    5·1 answer
  • Help help help me please
    13·1 answer
  • 67(9*737)+9<br> What order do I do this in?
    10·2 answers
  • A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in S
    12·1 answer
  • The sum of two consecutive odd integers is <br> −<br> 68<br> -68<br> . Find the numbers.
    6·1 answer
  • (Geometry Question) : Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment AB th
    11·2 answers
  • 54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability
    14·1 answer
  • Ill give brainly pls help
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!