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kakasveta [241]
4 years ago
5

Which value of d is a solution to equation 2.2d + 5.4= 12

Mathematics
2 answers:
ryzh [129]4 years ago
7 0

Hello!

<em><u>Answer:</u></em>

<em><u>d=3</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you multiply by 10 from both sides of an equation.

2.2d*10+5.4*10=12*10

Then, you had to refine the problem down.

22d+54=120

Next, you subtract by 54 from both sides of an equation.

22d+54-54=120-54

Simplify.

22d=66

You can also divide by 22 from both sides of an equation.

\frac{22d}{22}=\frac{66}{22}

And finally, simplify and solve. You can also divide by the numbers.

66/22=3

Final answer: → d=3

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D


Yakvenalex [24]4 years ago
4 0

Answer:

your answer is d=3

Step-by-step explanation:

First you subtract 5.4 from 12 then with that answer (6.6) you are going to divide 6.6 and 2.2 and your final answer is d=3

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
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a) the area of a square is in terms of x is

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                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

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Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

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