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Allisa [31]
3 years ago
7

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle

Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

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Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand
rodikova [14]

Answer:

a) Range = 25.8 million

Variance = 1008.129

Standard deviation = 10.04 million

b) No, we do not know anythjng about the variation of salaries of TV personalities in general as the behaviour of the entire data set cannot be determined just by examining the topmost values. For all we know, these could be the most outlier numbers.

Step-by-step explanation:

The top 10 annual salaries (in million of dollars) of TV personalities

41 39 38 31 21 20 18 16 15.7 15.2

Range = Difference between the highest value and the lowest value.

For this set of data,

Range = 41 - 15.2 = 25.8 million.

Variance is an average of the squared deviations from the mean.

It is given mathematically as

Variance = [Σ(x - xbar)²/N]

where x = each variable

xbar = mean of the data set

N = number of variables = 10

First of, we find the mean,

The mean, xbar, is the sum of variables divided by the number of variables.

xbar = (Σx)/N = (41 + 39 + 38 + 31 + 21 + 20 + 18 + 16 + 15.7 + 15.2)/10 = (254.9/10)

xbar = 25.49

Σ(x - xbar)² = (41 - 25.49)² + (39 - 25.49)² + (38 - 25.49)² + (31 - 25.49)² + (21 - 25.49)² + (20 - 25.49)² + (18 - 25.49)² + (16 - 25.49)² + (15.7 - 25.49)² + (15.2 - 25.49)² = 1008.129

Variance = [Σ(x - xbar)²/N] = (1008.129/10)

Variance = 100.8129

Standard deviation = √(variance) = √(100.8129) = 10.04 million

4 0
3 years ago
Which two ratios represent quantities that are proportional?
9966 [12]

Answer:

A is correct (33/18 and 66/26)

Step-by-step explanation:

Both fractions equal 6/5 when fully simplified. All you have to do is divide 18 by 15 and divide 24 by 20. Both of them will equal 1.2.

3 0
2 years ago
Which answer choice is equivalent to the expression 3x-1/2?
alex41 [277]

You can substitute a number in for x and compare the answer choices (not the most efficient way but it's how I would do it). Let's just say x = 5. Then the expression would equal 0.25819889. Substitute 5 in for x is the answer choices and see which one is the same.

A) simplified is 0.004 repeating

B) simplified is 0.25819889

C) simplified is 0.12

D) simplified is 1.341640786

We can see that B is the right answer

6 0
3 years ago
How do you convert 3 into 12/4 and 2 into 16/8?
Monica [59]

Answer:

Step-by-step explanation:

12/4=3 and 16/8=2

6 0
3 years ago
Read 2 more answers
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. W
STatiana [176]
Answer: The simplified express is 10m + 20.5 where m represents the total number of months.

To start we can write the following two expressions for her expenses.
8.5 + 62.5m   and     12 + 3.75m

Then, adding the two expressions together will give us a combined expression of:  10m + 20.5
8 0
3 years ago
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