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Wewaii [24]
3 years ago
8

Ill give brainiest for this question :D (its not multiple choice)

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given

\frac{6c-2}{2} + 2c + 11

= \frac{6c}{2} - \frac{2}{2} + 2c + 11

= 3c - 1 + 2c + 11

= 5c + 10

(b)

We have the expression

5c + 10 ← factor out 5 from each term

= 5(c + 2)

You might be interested in
Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua
inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3><u>Solution:</u></h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>

\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0
3 years ago
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will
boyakko [2]

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

4 0
3 years ago
Suppose that 2 people exercising in an enclosed room are each generating about 2.400 BTUs of body heat per
noname [10]

Answer:

0.002  BTUs per cubic foot heat is produced per hour

Step-by-step explanation:

Given:

Number of person = 2

Amount of heat produced by one person = 2.400 BTU

Dimension of the room = 20 ft x 12 ft x 10 ft

To Find:

How many BTUs per cubic foot do they produce in 1 hour = ?

Solution:

E =\frac{ \text{(2400 Btu/ person hr}) (\text{Number of Hours}) (\text{Number of persons }) }{\text {volume of the room}}

Substituting the values

E = \frac{ \text{(2400 Btu/ person hr}) (1) ( 2) }{20 ft \times 12 ft \times 10 ft}

E = \frac{4.800}{2400}

E = 0.002  BTU per cubic feet

7 0
3 years ago
Read 2 more answers
Plz help with this question!
Free_Kalibri [48]

Answer: 4 1/6

Step-by-step explanation:

6 0
3 years ago
Helpppppppppppp!!!!!!!!!!!!! 20 Pointssssssssssssss!!!
son4ous [18]

Answer:

115

Step-by-step explanation:

because 6 & 7 will add up to 180

so if 7 = 65

then 180 - 65 = 115

#6 = 115

5 0
3 years ago
Read 2 more answers
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