1. What are the first 2 steps in solving a rational equation

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Answer:

the fourth option

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag

1st option = 2 / 4 = 1/2

2nd option = 4/8 = 1/2

3rd option = 2/3

4th option = 2/6 = 1/3

the fourth option is correct

Answer:

3 : 7

Step-by-step explanation:

If the probability of choosing red = 3/10

The we can infer that ; ratio of the number of red marbles to the total number of marbles = 3 : 10

Thus number if marbles that aren't red :

10 - 3 = 7

The odd in favor of picking a red marble :

Red : not red

3 : 7

Answer:

the last one

Step-by-step explanation:

__________________

Answer:

C. 21°

Step-by-step explanation:

In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.

Therefore, ray BD is equidistant from the sides AB and AC.

So, ray BD will be the bisector of angle ABC.

[tex] \therefore m\angle ABD = m\angle DBC[/tex]

(Angle bisector theorem)

[tex] \therefore (3x+9)\degree = (45-6x)\degree [/tex]

[tex] \therefore 3x+9 = 45-6x[/tex]

[tex] \therefore 3x+6x = 45-9[/tex]

[tex] \therefore 9x = 36[/tex]

[tex] \therefore x =\frac{36}{9}[/tex]

[tex] \therefore x =4[/tex]

[tex] \therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree [/tex]

[tex] \implies m\angle ABD=21\degree [/tex]

The measure of angle ABD is 21°. Therefore, option C is the correct answer.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.

Therefore, ray BD is equidistant from the sides AB and AC.

So, ray BD will be the bisector of angle ABC.

m∠ABD=m∠DBC (Angle bisector theorem)

3x+9=45-6x

3x+6x=45-9

9x=36

x=36/9

x=4

So, 3x+9=3(4)+9=21°

Thus, m∠ABD=21°

Therefore, option C is the correct answer.

Learn more about the angle bisector here:

brainly.com/question/12896755.

#SPJ7

Answer:

5720 degrees per min; 95.33... degrees per second.

Step-by-step explanation:

If an object is rotating 22 times, note that each rotation is 360 degrees, so you do 22 * 360 to get 5720.

Now if you need it in the units of seconds, just divide the degrees of rotation by 60.

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

Answer:

s

Step-by-step explanation:

d

Answer: Hope This Helps!

Step-by-step explanation:

I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

Answer:

im just here to collect points cause im poor

Step-by-step explanation:

Answer:

C = 43.98cm. This answer was taken online

Answer:43.98

Step-by-step explanation: Circumfernce = 2 pi r.So what we have to so is first 7(2) = 14 Next we multiply 14 by pi which is about 43.98229... Now we have to round to the nearest hundredth which is two place after the decimal point. So 8 is the number we are rounding. If we look to the right of 8 the number is 2. Anything below 5 we keep the number the same. There you have it your answer will be 43.98

Answer:

-$10

Step-by-step explanation:

50-20=

30

30-40

= -10

Answer:

20 grams

Step-by-step explanation:

20 years is 2 half lives

1/2 * 1/2 = 1/4

1/4 * 80 = 20 grams

Answer: [tex]\frac{243}{7}[/tex]

Steps:

[tex]\frac{3^6}{7^-\cdot \:3}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]

[tex]=\frac{3^5}{7}[/tex]

[tex]3^5=243[/tex]

[tex]=\frac{243}{7}[/tex]

Hope This Helps!

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 55:

The sequence is geometric since each term is multiplied by 4, which is our common ratio. The recursive formula for a geometric sequence is [tex]a_n=a_1*r^{n-1}[/tex] where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term of the sequence, and [tex]r[/tex] is the common ratio. Given [tex]r=4[/tex] and [tex]a_1=2[/tex], the recursive formula for the geometric sequence is [tex]a_n=2*4^{n-1}[/tex].

Problem 56:

Applying the same steps as the previous problem, we see that each term is getting multiplied by 1/2, so it's a geometric sequence with our common ratio as [tex]r=\frac{1}{2}[/tex] and the first term of the sequence as [tex]a_1=48[/tex]. Therefore, the recursive formula for the geometric sequence is [tex]a_n=48*\frac{1}{2}^{n-1}[/tex].

Problem 57:

Applying the same steps as the previous problem, we see that each term is getting multiplied by 1/3, so it's a geometric sequence with our common ratio as [tex]r=\frac{1}{3}[/tex] and the first term of the sequence as [tex]a_1=36[/tex]. Therefore, the recursive formula for the geometric sequence is [tex]a_n=36*\frac{1}{3}^{n-1}[/tex].

9514 1404 393

Answer:

  55.  a[1] = 2; a[n] = 4·a[n-1]

  56.  a[1] = 48; a[n] = (1/2)·a[n-1]

  57.  a[1] = 36; a[n] = (1/3)·a[n-1]

Step-by-step explanation:

A recursive rule comes in two parts: (1) the initial value; (2) the relation between a given value and the previous one.

For a geometric sequence, the form is pretty simple. The initial value is the first term. The present value is the last one multiplied by the common ratio.

  a[1] = a_1

  a[n] = r·a[n-1]

__

55. The common ratio is 8/2 = 4. The first term is 2. The recursive rule is ...

  a[1] = 2; a[n] = 4·a[n-1]

__

56. The common ratio is 24/48 = 1/2. The first term is 48. The recursive rule is ...

  a[1] = 48; a[n] = (1/2)·a[n-1]

__

57. The common ratio is 12/36 = 1/3. The first term is 36. The recursive rule is ...

  a[1] = 36; a[n] = (1/3)·a[n-1]

Answer:

B

Step-by-step explanation:

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

First find total minutes by multiplying 15 minutes by 19 clients:

19 x 15 = 285 total minutes

1 hour = 60 minutes.

Divide total minutes by 60:

285/60 = 4.75 hours ( 4 hours and 45 minutes)

Answer:

14 days

Step-by-step explanation:

Answer:

121.5

Step-by-step explanation:

a geometric series : a1 + a1×r + a1×r^2 + a1×r^3 + ...

so, a1 = 50

a2 = a1×r = 30

=> 50×r = 30

=> r = 30/50 = 3/5

a3 = a2×r = a1×r^2 = 50×9/25 = 18

S7 = (50 - 50×(3/5)^7) / (1 - 3/5) =

= (50 - 50×(2187/78125)) / (2/5) =

= 5×(50 - 50×(2187/78125)) / 2 =

= 5×(25 - 25×(2187/78125)) = 125×(1 - 2187/78125) =

= 125×(78125-2187)/78125 = 125×75938/78125 =

= 75938 / 625 =

121.5 (121.5008)

Answer:

x=52

step by step:

x+128=180

x=180-128

x=52 .

Answer:

52

Step-by-step explanation:

number 3 is correct

Step-by-step explanation:

smaller<bigger

Answer:

add them up I don't know

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

6q-1. It's not factorsble with rational mumbers.

Answer:

6q - 6

Step-by-step explanation:

6 x (q - 1) =

6 x q - 6 x 1 =

6q - 6

Hope that helps! :)

-Aphrodite