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katrin [286]
3 years ago
11

-8/3 divided by -2/6 simplify

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second one. That means, keep the first fraction the way it is. Change the division to a multiplication. Flip the second fraction.

-8/3 / -2/6 = -8/3 * -6/2 = (8 * 6)/(3 * 2) = 8

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Find an equation of the circle that has center (-1,6) and passes through (-6,1)
horsena [70]

Answer:

(x + 1)² + (y - 6)² = 50

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)

r = \sqrt{(-6+1)^2+(1-6)^2}

  = \sqrt{(-5)^2+(-5)^2}

  = \sqrt{25+25}

  = \sqrt{50}

(h, k ) = (- 1, 6 ), then

(x - (- 1))² + (y - 6)² = (\sqrt{50} )² , that is

(x + 1)² + (y - 6)² = 50 ← equation of circle

3 0
3 years ago
Basketball shoes 113.15
devlian [24]
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8 0
1 year ago
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Mario spent $23.85 at the bookstore on one book and some magizines. The book cost $12.60 and the magizines cost $2.25 each. How
alexandr1967 [171]

Answer:

Mario bought five books.

Step-by-step explanation:

If Mario bought n magazines, then n is the solution of

23.85 = 12.60 + n*2.25

23.85 - 12.60 = n*2.25

11.25 = n*2.25

n = 11.25/2.25

n = 5

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4 years ago
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3 years ago
I conducted a poll and asked 1012 students how many books they read last year. The data indicates x = 12.1 books and s = 16.6 bo
Paul [167]

Answer:

(11.242 ; 12.958)

Step-by-step explanation:

The confidence interval is obtained using the relation :

C. I = xbar ± Zcritical * s/√n

Given that ::

xbar = 12.1 ;

Standard deviation, s = 16.6

n = 1012

C. I = 12.1 ± 1.645 * (16.6/√1012)

C.I = 12.1 ± 0.8583881

C. I = 11.242 ; 12.958

6 0
3 years ago
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