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Natasha2012 [34]
3 years ago
12

1. Solve 3x + 3 =21

Mathematics
2 answers:
sveta [45]3 years ago
7 0
1.

3x + 3 = 21

3x = 21-3

3x = 18

x = 18/3

Therefore,
x = 6


So option ( B) is the correct one.


2.

\frac{3x}{2}  - 4 = 16 \\  \frac{3x}{2}  = 16 + 4 \\  \\  \frac{3x}{2}  = 20  \\ 3x = 20 \times 2 \\ 3x = 40 \\ x =  \frac{40}{3}  = 13 \frac{1}{3}


Therefore option (B) is the correct one here too.
Orlov [11]3 years ago
6 0

1.\\\\3x+3=21\qquad|\text{subtract 3 from both sides}\\\\3x=18\qquad|\text{divide both sides by 3}\\\\\boxed{x=6}\to\boxed{B.}


2.\\\\\dfrac{3}{2}x-4=16\qquad|\text{add 4 to both sides}\\\\\dfrac{3}{2}x=20\qquad|\text{multiply both sides by 2}\\\\3x=40\qquad|\text{divide both sides by 3}\\\\x=\dfrac{40}{3}\\\\\boxed{x=13\dfrac{1}{3}}\to\boxed{B.}

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Solve for x. -0.65 + 0.45x = 5.4
FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

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Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

        0.65 + (-0.65) = 0

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Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

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3 0
3 years ago
The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
WITCHER [35]

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

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Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

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x + 25 would become 80 + 25, and add up to 105.

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5 0
3 years ago
The sum of three consecutive even numbers is 66. What is the smallest of these numbers?
ahrayia [7]
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8 0
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PLEASE HELP!!!!! 25 POINTS!!!!!!
Neporo4naja [7]

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

  • In the parallelogram, every two opposite sides are equal in lengths

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

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→ Equate them

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→ Subtract 2x from both sides

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∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

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→ Divide both sides by 4

∴ x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

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→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

∴ y = 21

∴ The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21

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