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sertanlavr [38]
3 years ago
13

Solve the following Linear equation​

Mathematics
2 answers:
IRISSAK [1]3 years ago
6 0

Answer:

The answer is -21

Step-by-step explanation:

0.5(5 - 7x) = 8 - (4x + 16)

2.5 - 3.5x = 8 - 4x - 16

3.5x - 2.5 = 4x - 8 + 16

3.5x - 4x = 2.5 - 8 + 16

-0.5x = 10.5

x = 10.5/(-0.5)

x = -21

Thus, The answer is -21

<em><u>-TheUnknownScientist</u></em>

m_a_m_a [10]3 years ago
5 0

Step-by-step explanation:

\huge\mathcal\pink{here's your solution} \\  \\ 0.5(5 - 7x) = 8 - (4x + 16) \\  \\ 2.5 - 3.5x = 8 - 4x  - 16 \\  \\  - 3.5x + 4x =  - 8 - 2.5 \\  \\ 0.5x = 10.5 \\  \\ x = 10.5 \div 0.5 \\  \\ x = 21 \\  \\ \huge\mathfrak\purple{hope \: it \: helps..}

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The length of a rectangle is 2 cm longer than its width. if the perimeter of the rectangle is 40 cm , find its area.
rusak2 [61]

width = w

 length = w +2

perimeter = 2L + 2w

40 = 2(w+2) + 2w

40 = 2w+4 +2w

40 = 4w+4

36=4w

w=36/4 = 9

with = 9

length = 9+2 = 11


 area = l x w = 9*11 = 99 square cm

4 0
4 years ago
What is the distance between the points (5,7) and (-3, 4) on the coordinate<br> plane?
Goshia [24]

Answer:

By the distance formula:

D = \sqrt{(-3-5)^2 + (4 - 7)^2} = \sqrt{64 + 9} = \sqrt{73}

8 0
3 years ago
Find the value of x needed to make the equation below true. 1.5(2x-4)=2(4x+2)
kirza4 [7]

Answer:

x= -2

Step-by-step explanation:

1.5(2x-4)=2(4x+2)

3x-6=8x+4

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6 0
4 years ago
How do you find the quotient of 45/9
pishuonlain [190]

The quotient of the given fraction 45/9 is 5.

<h3>What is division?</h3>
  • The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
  • Addition, subtraction, and multiplication are the other operations.
  • At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.

Quotient:

  • A quotient is a quantity produced by the division of two numbers in arithmetic.
  • The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.

So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5

(Refer to the picture given below for working)

Therefore, the quotient of the given fraction is 5.

Know more about division here:

brainly.com/question/25289437

#SPJ9

4 0
1 year ago
PLEASE HELP WITH #14 AND #7 PLEASE A.S.A.P !!!
kodGreya [7K]

Answer:

7.) 16.7

Step-by-step explanation:

7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle

Using the pythagrorem theorem a² + b² = c²

4² + b² = 5²

b² = 5² - 4²

b² = 25 - 16

b² = 9

√b² =√9

b = 3

next you do the same thing to find the missing segment of the longest side

3² + b² = 13²

b² = 169 - 9

b² = 160

b = √160 or  ≈ 12.7

12.7 + 4 = 16.7

so 16.7 is the length of that side


3 0
4 years ago
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