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Levart [38]
4 years ago
9

What is the solution to the equation 4x - 6 = 10x - 3?

Mathematics
1 answer:
beks73 [17]4 years ago
5 0

\huge{\boxed{\tt{Solution:-}}}

<h3><u>Given :</u></h3>
  • \sf {4x-6=10x-3}
<h3><u>T</u><u>o</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
  • What is the solution of the equation:

\sf{(a.)\:x=\dfrac {-1}{2}}

\sf{(b.)\:x=-2}

\sf{(c.)\:x=\dfrac {1}{2}}

\sf{(d.)\:x=2}

Now, we solving it :

\sf{: \implies  {4x - 6 = 10x - 3}} \\  \\ \sf{: \implies  { - 6 + 3= 10x - 4x}} \\  \\ \sf{: \implies  { - 3= 6x}} \\  \\ \sf{: \implies  {  \dfrac{- 3}{6} = x}} \\  \\ \sf{: \implies  {\dfrac{- 1}{2} = x}} \\  \\  : \implies  {\boxed{ \sf{x =\dfrac{- 1}{2}}}}

\bf{\therefore{Correct \:solution\:is\:(a.)\:x=\dfrac {-1}{2}.}}

\rule {307}{2}

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The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
3 years ago
If four pounds of a certain candy cost $10 how manu pounds of that candy can be purchased for $12
dangina [55]
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8 0
3 years ago
Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server p
nata0808 [166]

Answer:

The probability of the tip to be more than 200 is 0.1.

Step-by-step explanation:

As per the given data

Amount of tip            Number

     0-20                       200

   20-50                       100

   50-100                      75

 100-200                     75

    200+                        50

____________________

Total=                         500

So what is the probability of tip to be more than 200 is given as

P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}\\P(200+)=\frac{50}{500}\\P(200+)=0.1

So the probability of the tip to be more than 200 is 0.1.

5 0
3 years ago
Find the slope of the line that goes through the given points.<br> (0,8) and (- 4,0)
Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

6 0
3 years ago
Read 2 more answers
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SashulF [63]

Answer:

13

Step-by-step explanation:

25d - 12 = ?

1 day = 25(1) - 12 = 13

12 + 13 = 25

5 0
4 years ago
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