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
chubhunter [2.5K]
3 years ago
9

The length of a rectangle is 5 times larger than x. The width is 4 cm less than the length. The perimeter is at least 96 cm. Wha

t are the smallest possible dimensions for the rectangle?
Mathematics
2 answers:
Ede4ka [16]3 years ago
6 0

We know that the perimeter of a rectangle = 2(l + w)

l = length

w = width

In our problem,

l = 5x

w = 5x - 4

Let's create an inequality to help us solve this problem.

2(5x + (5x - 4)) ≥ 96

Let's start off by simplifying the terms inside the parentheses.

2(10x - 4) ≥ 96

Distribute the 2

20x - 8 ≥ 96

Add 8 to both sides.

20x ≥ 104

Divide both sides by 20

x ≥ 5.2

Let's plug 5.2 into x for our length and width.

Length = 5x = 5(5.2) = 26 cm

Width = 5x - 4 = 5(5.2) - 4 = 26 - 4 = 22 cm

The smallest possible dimensions for the rectangle are, length = 26 cm and width = 22 cm  

nikitadnepr [17]3 years ago
5 0

Answer:

width = 10 cm

length = 14 cm

The smallest dimension is 10 cm.

Step-by-step explanation:

2x + 2(x + 4) ≥ 48

Solve for x.

2x + 2x + 8 ≥ 48

4x + 8 ≥ 48

4x ≥ 40

 x ≥ 10

You might be interested in
Which percentage is equivalent to 14/25
Leviafan [203]

46% is equal to 14/25

14/25 is equal to 46/100 (multiply 14/25 times 4/4) and that is 46%

5 0
2 years ago
Read 2 more answers
eric is making a dress. the design calls for a right triangular piece of material. if the second angle has to be 35% what is the
svet-max [94.6K]
U have a right triangle...so one angle is 90%......and the second angle is 35%...keep in mind, the angles of a triangle = 180%
so the measure of the third angle is : 180 - 90 - 35 = 55%
3 0
3 years ago
The back of Monique's property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
kondor19780726 [428]
So long as the perimeters are the same, rectangles and squares share the same area. For example, a square that is 2m by 2m across is 4m squared. A rectangle of 4m by 1m across is still 4m squared.

Therefore all we want to do here is see how big we can make our “square” perimeter using the creek. We have three sides to spread 580ft across, therefore if we divide this by 3, we get 193.3ft of fencing per side. If we then square this figure, we will then get the maximum possible area, which comes to 37,377ft squared. (That’s a huge garden).
3 0
3 years ago
Read 2 more answers
P(x)=2x 4 −x 3 +2x 2 −6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x,
Tresset [83]

Answer:

P = -x^3 +12 / x+6

Step-by-step explanation:

Let's solve for p.

px=(2)(4)−x3+(2)(2)−6p

Step 1: Add 6p to both sides.

px+6p=−x3−6p+12+6p

px+6p=−x3+12

Step 2: Factor out variable p.

p(x+6)=−x3+12

Step 3: Divide both sides by x+6.p(x+6)

x+6

=

−x3+12

x+6

p=

−x3+12

x+6

5 0
2 years ago
J= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
irina [24]
J=-8c²-4cd-d²
k=-3c²+7cd-3d²
j+k=
-8c²-4cd-d²-3c²+7cd-3d²
-11c²-4d²+3cd
6 0
3 years ago
Other questions:
  • The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) true or false
    14·2 answers
  • Solve for x and y<br>2x+3yi=-14+9i
    5·1 answer
  • 29 is what percent of 185? round your answer to the nearest hundredth.
    7·1 answer
  • I need help in #24 snd #25 can someone help me please I need them done by tomorrow
    11·1 answer
  • Mr. Cole packed 20 pounds into a suitcase, and Mrs. Cole packed 23 pounds into the same suitcase. They then had to remove 8 poun
    13·1 answer
  • Ik desperate please help the question is:
    13·1 answer
  • How would you prove quadrilateral WXYZ is a square? Is quadrilateral WXYZ a square explain why or why not.
    7·1 answer
  • Sierra has a bucket that originally contained 260 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has
    10·2 answers
  • Find the value of x.
    6·1 answer
  • What is the solution to the inequality 1 2/3 &gt; r - 7/12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!