All categories

3 years ago

Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15

Mathematics

1 answer:

kirza4 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The common ratio r exists between consecutive terms in the sequence, that is

r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5

You might be interested in

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

mariarad [96]

Answer:

$4x + 42 = 3$

Step-by-step explanation:

Given:

$\frac{2}{3}x + 7 = \frac{1}{2}$

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

$2 = 2,4,6,8,10,..$

$3 = 3,6,9,12..$

So, 6 is the least common multiple.

Multiply both sides by 6

$6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6$

$6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6$

$\frac{12}{3}x + 42 = \frac{6}{2}$

$4x + 42 = 3$

Hence, an equivalent expression.

3 0

3 years ago

Luis tenía un saco de patatas de 95 kg. Ha vendido 10bolsas de 2,5kg cada una. ¿Cuántos kilos de patatas le quedan?

stepan [7]

Answer:

A Luis le quedan 70 kg de patatas.

Step-by-step explanation:

Para encontrar la respuesta, primero tienes que determinar la cantidad total de patatas que Luis ha vendido multiplicando la cantidad de kilos en cada bolsa por el número de bolsas vendidas:

2,5kg*10=25 kg

Ahora que sabes que Luis ha vendido 25 kg de patatas puedes restar esto de la cantidad de kilos que tenía para saber cuánto le queda:

95-25=70

De acuerdo a esto, la respuesta es que a Luis le quedan 70 kg de patatas.

8 0

3 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

3 0

3 years ago

Name the consecutive (same side) exterior angles and interior angles

konstantin123 [22]

Answer:

Consecutive Interior Angles

Consecutive interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..

∠2+∠9= 180

∠4+∠11= 180

∠6+∠13= 180

∠8+∠15= 180

Consecutive Exterior Angles

Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...

∠1+∠10= 180

∠3+∠12= 180

∠5+∠14= 180

∠7+∠16= 180

3 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Lesechka [4]

Answer:

(8,0)

Step-by-step explanation

6 0

3 years ago

Read 2 more answers