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Levart [38]
3 years ago
8

Solve 9x-14-2x=5(2x-6)

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

9x-14-2x=5(2x-6)\qquad\text{use distributive property}\\\\(9x-2x)-14=(5)(2x)+(5)(-6)\\\\7x-14=10x-30\qquad\text{add 14 to both sides}\\\\7x=10x-16\qquad\text{subtract 10x from both sides}\\\\-3x=-16\qquad\text{divide both sides by (-3)}\\\\\boxed{x=\dfrac{16}{3}}

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The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
ki77a [65]

Answer:

A. 58, 13,-35,-51

Step-by-step explanation:

Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.

|-35| = 35

|-53| = 53

-35 has a smaller absolute value than -53, so -35 is greater than -53.

Answer: A. 58, 13,-35,-51

7 0
3 years ago
Read 2 more answers
The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
IgorC [24]

Answer:

  • 15 m

Step-by-step explanation:

<em>Refer to attached picture</em>

  • The height  = h
  • Angles of elevation 22.6° and 38.3°
  • Closer distance  = d

<u>Use tangent to solve</u>

  • tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
  • tan 38.3° = h/d          ⇒ h = d tan 38.3°           ⇒ h = 0.79d

<u>Compare the equations above and find the value of d:</u>

  • 0.42(d + 17) = 0.79d
  • 0.42d + 7.14 = 0.79d
  • 0.79d - 0.42d = 7.14
  • 0.37 d = 7.14
  • d = 7.14/0.37
  • d = 19.3 m

<u>Now find the value of h:</u>

  • h = 0.79d
  • h = 0.79*19.3
  • h = 15

Wave Rock is 15 m tall

3 0
3 years ago
In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o
Dafna11 [192]

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = \frac{50\times10^{-6}}{10\times10^{-9}}

or

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

4 0
4 years ago
The table shows the cost for a clothing store to buy jeans and khakis. The total cost for Saturday's shipment, $1,800, is repres
xxTIMURxx [149]
These are the answers

5 0
1 year ago
Enter the correct answer in the box
kakasveta [241]

Answer:

Step-by-step explanation:

Invert and multiply the second fraction.

\frac{x^2 - 2x}{x^2 - 10x + 25} *\frac{x^2 - 25}{6x^2 - 12x}

All 4 parts of the two fractions can be factored into simpler factors.

\frac{x(x - 2)}{(x - 5)(x - 5)} * \frac{(x + 5)(x - 5)}{6(x - 2)}

Numerous cancelations can occur

  • (x - 5) [top right with x - 5 bottom left]
  • (x - 2) [top left with x - 2 bottom right]

Answer

\frac{x}{(x -5)} * \frac{(x + 5)}{6}

8 0
3 years ago
Read 2 more answers
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