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Basile [38]
2 years ago
12

4.

Mathematics
2 answers:
sleet_krkn [62]2 years ago
6 0
0.1875 is the decimal version. You should chose B, the one is not a part of 3/16ths.
fenix001 [56]2 years ago
5 0
The answer is C. because 3/16 is close to 3 because how it’s estimated of the germs and gasoline is how it’s going to hit africa and south america and dacota. hope this helps!!
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Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
A line passes through the point (-8,7) and has a
zaharov [31]

Answer:

y = (-5/2)x + 27

Step-by-step explanation:

Use the point slope formula y = mx + b.

Replace m with -5/2, x with -8 and y with 7:

7 = (-5/2)(8) + b.  Find the y-intercept, b:

7 = -20 = b, or b = 27

The equation of this line is y = (-5/2)x + 27.

6 0
3 years ago
Simplify each expression
joja [24]

Answer:

14y

8x

10x

8x+4

6x+6

8x+4

8 0
3 years ago
19. Given that the lines are parallel, what angle is congruent to angle 6?
nikklg [1K]
It is C bc it is on the opposite side and on the outside
6 0
3 years ago
At a sale, dresses were sold for $90 each. This price was 75% of a
gulaghasi [49]

Answer:

A dress originally costs $120

Step-by-step explanation:

To find the original cost of the dress, we will follow the steps below;

let x represent the original cost of the dress

75% of x  = $90

\frac{75}{100}  ×    x   = $90

\frac{75X}{100}  =   $90

MULTIPLY both-side of the equation by 100

\frac{75X}{100} × 100 =   $90×100

At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x

75x = $9000

DIVIDE both-side of the equation by 75

75x/75 = $9000/75

At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x

x=  $9000/75

x = $120

A dress originally costs $120

3 0
3 years ago
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