If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

learn more about algebra here: https://brainly.com/question/14569336?referrer=searchResults

Answer:

  nobody

Step-by-step explanation:

Humans have made use of natural numbers as long as humans have been around. Counting numbers are wired into our consciousness, as they are for many living things.

Research has demonstrated some plants can count up to 5 (generally, carnivorous ones). Honeybees have long been known to be able to count to 4, and recent research shows they can count higher. Fish can count; birds can count; as can many other species.

For most, it takes concentration and/or training to count beyond 4. We are born with an understanding of 1, 2, 3, more.

Nobody "invented" natural numbers.

_____

Additional comment

Prey species survive by being able to count predators. Some predators take advantage of the limitations of number recognition by hunting in groups larger than can be readily counted.

Answer:

It would be +3

Step-by-step explanation:

When you add -8 plus a positive 3 that would be a negative -3

Answer:

-5=-8--3

= -3 Start at -8 go down untill u reach -5 then count how many u went down

Answer:

10

Step-by-step explanation:

"Least" means smallest.

"Common" means same.

"Denominator " means the bottom number in a fraction.

Something/2 can be changed to something/10

AND something/5 can also be changed to

something/10

1/2 >>>> 5/10

3/5 >>>> 6/10

10 is the least common denominator.

Answer:

c

Step-by-step explanation:

Answer:

5 x + 25 ≤ 20

Step-by-step explanation:

Simplify 5  +  5  (  x  +  4  ) .

5  + 5 x  +  20  ≤  20

Add  5  and 20 .

Answer:

The answer is 2

Step-by-step explanation:

The range of class A is 5-0 = 5

The range of class B is 3-0 = 3

the difference between 3 and 5 is 2.

Answer:

  length ≈ 5.583 ft

  width ≈ 3.583 ft

Step-by-step explanation:

If we let x represent the length of the table in feet, then the width is (x-2). The area is ...

  A = LW

  20 = x(x -2)

Writing this in standard form gives ...

  x^2 -2x -20 = 0

The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]

Of these values, the only one that makes sense is ...

  length = 1+√21 ≈ 5.583 ft

  width = length -2 ≈ 3.583 ft

Let width is x

length be x+2

On solving

we get

x is around 3.58 or 3.6ft

Answer:

The perimeter is the distance all round,

Step-by-step explanation:

perimeter of a rectangle is gotten by the formula

P=2(L+W)

2(35+25)=120m

The wire covers the distance all round

so we use 120m×2=240m

Answer:

25

Step-by-step explanation:

Let,

Rhombus = ABCD

Diagonal = AC and BD

Mark its centre as O

Now,

AC = 2AO

AO = AC/2

AO = 48/2

AO = 24 cm

Also,

BD = 2BO

BO = BD/2

BO = 14/2

BO = 7 cm²

Now,

In ∆AOB

AB² = AO² + BO²

Here, AB is the side

AB² = (24)² + (7)²

AB² = 576 + 49

AB² = 625

AB = √(625)

AB = 25

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

Answer:

Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:

Step-by-step explanation:

Answer:

p=14 ft

Step-by-step explanation:

The figure that meets these conditions is the square

The perimeter:

4(3.5) = 14 ft.

Hope this helps

Answer:

∠4 = 135°

Step-by-step explanation:

∠4 = the sum of the two remote angles in the triangle.  (remote angles are the angles not  next to ∠4

∠4 = 80° + 55°

∠4 = 135°

Answer:

<4 = 135

Step-by-step explanation:

I took this test

Answer:

not sure about 80 but for 79, the answer is -185

Step-by-step explanation:

P(4)= (4)^3 - 4(4)^2 + 3(4) - 5

P(4)= 64 - 16^2 + 12 - 5

P(4)= 64 - 256 + 12 - 5

P(4)= -185

(sorry if i made a mistake)

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

Learn more about equations on:

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Answer:

Below in bold.

Step-by-step explanation:

1. 165/3.3 = 50 meters/second.

2. In 4 seconds the skydiver will fall 4*50 = 200 meters.

Answer:

I think it would be 14 I hope it is right and it helps

Answer:

1,139.0625

Step-by-step explanation:)

100 BACTERIA to start

1Hour = 50% of the start (which is 100 so half would be 50) this suggest 100+50= 150

2hour = 50% of 150 which is 75 and this suggest

150+75= 225

3 hour = 50% of 225 which is 112.5 this suggest

225+112.5=337.5

4hours = 50% of 337.5 which is 168.75 this suggest

337.5 + 168.75=506.25

5hours = 50% of 506.25 which is 253.125 this suggest

506.25+253.125=759.375

6hours = 50% of 759.375 which is 379.6875 this suggest

759.375+379.6875=1,139.0625

Answer: 1139 bacteria

Answer:

D.Climbs 34 1/4 feet

Step-by-step explanation:

-45.5 + 30 - 18.75 + h = 0

                                h = 34.25

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

42 rats.

Step-by-step explanation:

since the ratio of mice to gerbils is 7:4, given that there are 32 gerbils, that means 32/4=8 gerbils; in other words, 56mice:32gerbils. Then, to find the # of rats, the ratio is 4:3, so you take the previous value of the # of mice and divide it by 4 to get 14(3)= 42

To understand this question, we need to know what it's asking and what's important and what is not important. Many people skip this step, but it is very important.

It is asking us to Find how many Rats there are.

This problem is defiantly reduced to the simplistic ratio

The next step is to Find clues

The clues are 32 Gerbils, 7:4 and 4:3

Now i like to make a chart but you may skip this step if you want

Gerbils=32

Mice=??

Rats=??

First, we have to find the numbers of Mice.

(Reducing Ratios divide them by a number like 2:4=1:2)

If you have 32 Gerbils and you reduced it to 4, what did you dived?

32/4=8

So, you multiply 7x8=56

There is 56 Mice.

Our table looks like this

Gerbils=32

Mice=56

Rats=??

Now we use the ratio 4:3 to find the numbers of Rats

If there are 56 mice, and it is reduced to 4, we have to do 56/4 to find out what we have to multiply 3 by to get the total numbers of rats (Inverse Operation) by. We get 14.

So now we do 3x14 in which we get 42.

Our chart now looks like this

Gerbils=32

Mice=56

Rats=42

I Hope this helped if you have any questions just tell me

Answer:

  length: 13 cm

  width: 5 cm

Step-by-step explanation:

You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:

  5 cm wide; 13 cm long

__

If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...

  A = LW

  65 = (2w+3)(w)

In standard form, this equation is ...

  2w^2 +3w -65 = 0

To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...

  -130 = (-10)(13)

Then the factored equation is ...

  2w^2 +13w -10w -65 = 0

  w(2w+13) -5(2w+13) = 0

  (w -5)(2w +13) = 0   ⇒   w = 5, -13/2

The positive solution makes sense in this problem, so ...

  width = 5 cm

  length = 2(5) +3 = 13 cm

Answer:

tried my best!!!!!

Step-by-step explanation:

a) they eat both meat and palnts

b) it nurses its young,and feeds us beings

c) yes it is

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

Answer:

-14x+2(7x)=0

-14×+14×=0

0=0