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3 years ago

Compare these rational expressions.......

Mathematics

1 answer:

Svet_ta [14]3 years ago

4 0

8 over 32 is double 2 over 16

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Solve and simplify 6 2/3 x 3 1 /2

sergeinik [125]

$6 \frac{2}{3} = \frac{2}{18} = 9$

$3 \times \frac{1}{2} = \frac{1}{6} = 6$

6×9=54

4 0

3 years ago

Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3

tiny-mole [99]

Answer:

The coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

Step-by-step explanation:

Given the point A with the vertices (3, 9) i.e. A(3,9)

As we know that If the scale factor is between 0 and 1, the image gets shrunk.

In order to dilation with a scale factor of 2/3, just multiply the x and y coordinates of the original point (3, 9) by 2/3.

i.e.

(x, y) → (2/3 x, 2/3 y)

so, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be:

A (x, y) → (2/3 x, 2/3 y) = A (2/3 (3), 2/3 (9)) = A'(2, 6)

Therefore, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

3 0

2 years ago

Una fábrica envasadora recibe diariamente distintos tipos de aceite en las siguientes cantidades: 195 l, 275 l, 315 l, 460 l y 5

BabaBlast [244]

Answer:

Se calcula el maximo comun divisor.

195/5 = 39

275/5 =55

315/5 =63

460/5= 92

525/5 =105

Se deben utilizar 354 garrafas

Step-by-step explanation:

Descomponemos cada número en factores primos.

Después, señalamos los factores comunes.

A continuación, en cada uno de los comunes, escogemos el factor con menor exponente.

Y por ultimo, multiplicamos los factores elegidos.

195 3 275 5 315 3 460 2 525 3

65 5 55 5 105 3 230 2 175 5

13 13 11 11 35 5 115 5 35 5

1 1 7 7 23 23 7 7

1 1 1

3 0

3 years ago

What is the circumference of a child's swimming pool that has a radius of 3 feet

Gnom [1K]

Formula for circumference= (2)(pi)(r) or (pi)(d)
diameter=2r=6ft
6ft*3.14=18.84

5 0

3 years ago

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

anzhelika [568]

9514 1404 393

Answer:

205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

A = LW

7585 = (6w-17)(w)

6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

$x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}$

The width is 37 feet, so the length is ...

6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0

3 years ago