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]
4 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]4 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]4 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
30 points !!!! :)) please help thanksss
Doss [256]

Answer:

A = 10⁰

Step-by-step explanation:

We have 2.247 and this to represented as $ 2 \times A + 2 \times B + 4 \times C + 7 \times D $

$ 2.247 = \frac{2247}{1000} $

$ 2.247 = 2 \times 10^0 + 2 \times \frac{1}{10} + 4 \times \frac{1}{10^2} + 7 \times \frac{1}{10^3} $

Comparing with the given data, we have:

A = 10⁰

B = $ \frac{1}{10} $

C = $ \frac{1}{10^2} $

D = $ \frac{1}{10^3} $

Hence the answer A = 10⁰.

7 0
3 years ago
4. What is the next number?<br> 0 3 8 15 24 35 .......
ludmilkaskok [199]

Answer:

The answer is 48

Step-by-step explanation:


4 0
4 years ago
HELPPPPPP ILL GIVE BRAINLEST !!!!! PLEASE
Gre4nikov [31]
113
42
13

Hope this helps have a good day
6 0
3 years ago
The variable y is directly proportional to the variable x. If y = 9 when x = 5, what is the value of y when x = 20?
andreev551 [17]
Rise over run is y over x. 9/5 is 1.8 you have x=20 i plugged in all numbers and when i plugged in 36 i got 1.8 so im sure the answer is D)36
8 0
4 years ago
Read 2 more answers
Please show how to solve! 20 Points!<br> 3(x+2)^3/5 +3=27
Lemur [1.5K]

Answer:

x=30

Step-by-step explanation:

3(x+2)^3/5 +3=27

Subtract 3 from each side

3(x+2)^3/5 +3-3=27-3

3(x+2)^3/5 =24

Divide by 3

3/3(x+2)^3/5 =24/3

(x+2)^3/5 =8

Take everything to the 5/3 power to get rid of the exponent on the left side

(x+2)^3/5 ^ 5/3=8 ^ 5/3

Remember that a^b^c = a^ (b*c)

(x+2)^(3/5 * 5/3)=8 ^ 5/3

(x+2)=8 ^ 5/3

Replace 8 with 2^3

(x+2)=2^3 ^ 5/3

Remember that a^b^c = a^ (b*c)

(x+2)=2^(3 * 5/3)

x+2 = 2^5

x+2 = 32

Subtract 2 from each side

x+2-2 = 32-2

x=30

4 0
3 years ago
Other questions:
  • What is the scientific ntation for 58,927
    9·1 answer
  • A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting
    6·1 answer
  • The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.
    11·2 answers
  • Find the slope of the line through (–9, –10) and (–2, –5). A. –five-sevenths B. seven-fifths C. five-sevenths D. –negative seven
    12·1 answer
  • For this right triangle, find the measure of angle g.<br> angle g = ?°
    6·1 answer
  • A figure was created using a tangle and a semicide. Use the ruler provided to measure the
    15·1 answer
  • Milo and Nancy share a reward of $35 in a ratio of 3:4. How much does Milo get?
    9·1 answer
  • Someone please please help me on this problem
    11·1 answer
  • Simplify the expression: <br> I need a answer with an explanation. Algebra 1
    8·1 answer
  • Complete the expressions using the distrbutive property.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!