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valentina_108 [34]
3 years ago
10

How many solutions does the equation have? 3(7/3 + 4/3) - 2x + 8 = 5x + 12

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer: It only has one solution.

Step-by-step explanation:

Let's solve your equation step-by-step.

3( 7 /3 + 4 /3 )−2x+8=5x+12

Step 1: Simplify both sides of the equation.

3( 7 /3 + 4 /3 )−2x+8=5x+12

11+−2x+8=5x+12

(−2x)+(11+8)=5x+12(Combine Like Terms)

−2x+19=5x+12

−2x+19=5x+12

Step 2: Subtract 5x from both sides.

−2x+19−5x=5x+12−5x

−7x+19=12

Step 3: Subtract 19 from both sides.

−7x+19−19=12−19

−7x=−7

Step 4: Divide both sides by -7.

−7x /−7 = −7 /−7

x=1

Answer:

x=1

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Radius of the semicircle = 10 ÷ 2 = 5cm

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Find Area of the semi circle :
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Area of the semi circle = 1/2 πr²
Area of the semi circle = 1/2 x π x (5)²
Area of the semi circle = 12.5π cm²

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Find Radius :
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Radius of the inner circle = 5 ÷ 2 = 2.5 cm

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Find area of inner circle :
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Area of the inner circle = πr²
Area of the inner circle = π x (2.5)²
Area of the inner circle = 6.25π

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Area of the shaded region :
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Area of the shaded region = 12.5π - 6.25π
Area of the shaded region = 6.25π
Area of the shaded region = 19.63 cm²

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Answer: Area of the shaded region = 19.63 cm²
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7 0
4 years ago
Rewrite 3/10 as a fraction that could easily be added to 21/100
krek1111 [17]
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7 0
4 years ago
Is 1:2:3 equivalent to 2:4:6​
Finger [1]

Answer:

Yes it is.

Step-by-step explanation:

Just multiply everything by 2.

5 0
3 years ago
Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4
Kobotan [32]

Answer:

x=-2

Step-by-step explanation:

−5x−2+2x=−2x+4+2x

−3x−2=4

Step 2: Add 2 to both sides.

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Step 3: Divide both sides by -3.

−3x

−3

=

6

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3 0
3 years ago
Read 2 more answers
Please help me asap!!! ):
pogonyaev

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is helpful to understand that the product of the binomial factors is ...

  (ax +b)(cx +d) = ac·x² +(ad+bc)x +bd

For these problems you only need to look at the constant and the leading coefficient to find the missing values.

__

1. d = 8/-4 = -2

2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1

3. a = 2/c = 1; d = -24/b = 6

3 0
3 years ago
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