The Length of a rectangle is 4 centimeters less than twice its width . The perimeter of the rectangle is 34cm. What are the dimensions of the rectangle ?

Answers

Answer 1

Answer: The given known values are: Length of 4 cm Width is unknown Perimeter is 34 cm Find the dimensions of the rectangle. Since the geometric formula for perimeter is:
P= 2 (l + w)
L = 2w – 4 cm
W =?
Derivation and solution:
34 = 2 (2w - 4) + 2w
34 = 4w – 8 + 2w
42 = 6w 42/6 = w
W = 7 cm

34 = 2l + 2(7)
34 = 2l + 14
2l = 34 – 14
2l = 20
L = 20/2
L = 10 cm

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How to increase numbers

Answers

Hi There! :)

How to increase numbers?

Multiply by a percentage

Add or multiply another number with that number

You have 7 balls that are each a different color of the rainbow. In how many distinct ways can these balls be ordered?

Answers

To solve this question, use a factorial. This is a basic concept in permutations. The first ball can be placed into any of the 7 positions. The second can be placed in 6. The third can be placed in 5, and so on until there are no balls left. One easy way to solve this is to use 7!, or seven factorial. 7! = 7*6*5*4*3*2*1. The answer is 5,040 distinct ways.
Hope that answered your question.

Answer:

You have 7 balls that are each a different color of the rainbow. Then, the number of distinct ways in which these balls can be ordered will be given by 7!. 7! = 7*6*5*4*3*2 = 5040 ways. Thus, in 5040 ways, the number of balls can be put in distinct arrangements.

Step-by-step explanation:

In Short Term 5,040

The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Answers

Answer:

Yes, the two events are independent because P(NF|PB)=P(NF).

Step-by-step explanation:

Which expression represents y⁴ - 36 in simplest factored form?A. ( y² + 4)( y² - 9)
B. ( y² + 4)( y - 3)( y + 3)
C. ( y² + 6)( y² - 6)
D. ( y⁴ - 36)( y +1)

Answers

$y^4 - 36 = (x^2)^2-6^2 = (y^2+6) (y^2-6)\n \n \n a^2+b^2 =(a+b) (a-b) \n \n\n Answer : \ C. \ ( y^2+ 6)( y^2- 6)$

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

How do I figure out what 5550/1000

Answers

I'm guessing you want a mixed number.

To find this, find out how many times 1000 goes into 5550.
It goes in it evenly 5 times.

Now find what's left over.
5 x 1000 = 5000
5550 - 5000 = 550

Use 5 as the whole number, 550 as the numerator, and keep the denominator the same, which is 1000.

Now, the fraction in 5 550/1000 can be reduced.
50 goes into both.

550/50 = 11
1000/50 = 20

So the fraction is reduced to 11/20.

Your fraction is 5 11/20.

Now, if you were looking for a decimal, simply refer to the fraction.
Obviously, the whole number is 5.

To make life easier, multiply 20 to 100.
20 x 5 = 100.

Now we know the numbers to the right of the decimal will have two places.

Multiply 11 to 5.
11 x 5 = 55.

So, .55

Your final answer is 5.55

Fraction: 5 11/20
Decimal: 5.55

just do 5550/1000
You get 555/100 simplified
then divide and get 5.55
5.55 is your answer or just 5 11/20

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