A new restaurant opens, and on the first night has 100 guests. Each night after that, the number of guests grows by 20 people. What type of sequence does this scenario represent, and why? If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

Answer:

de correct one is

x 0

y 3

hope u got it

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

Answer:

2a+50=5a-4

5a-2a=50+4

3a=54

a=18

Answer:

[tex]a=18[/tex]

Step-by-step explanation:

[tex]2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1[/tex]

[tex]=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18[/tex]

Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons

hope it helps..

Answer:

I believe that the answer is

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes

Step-by-step explanation:

I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.

For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.

I hope this helps. :)

The answer is correct that

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes by 1/2

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.

So, [tex]2^{10}[/tex] = 1024

In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.

Let us take a case,

If we have flipped a coin 5 times and there are only two possibilities.

The answer will be=  [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.

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Answer:

591.18

Step-by-step explanation:

Quick answer 3/24 or 1/8

Answer:

2(L+W)H

Step-by-step explanation:

Surface area= 2(L+W)H

Answer:

2(L+W)H

Step-by-step explanation:

The lateral surface area is the total of the area of all the faces of the prism.

Hope this helps!

Answer:

36 feet long

Step-by-step explanation:

3 feet x 12 feet is 36 so it will be 36 feet long!

please mark brainliest and have a nice day :)

Answer:

d × (5d + 11)

Step-by-step explanation:

5d² + 11d

Factor out d from the expression

When d is factored out;

5d² becomes 5d

11d becomes 11

And d multiplies it all;

d × (5d + 11)

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

Answer:

B

Step-by-step explanation:

1/4 = the ratio 60/240

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

Answer:

y = 5(2)ˣ

Step-by-step explanation:

numbers are doubled for y as x is changing by 1

it indicates exponential growth with y intercept 5 and rate 2:  y = 5(2)ˣ

HEY MATE HERE IS UR ANSWER

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

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Answer:

XVII

Step-by-step explanation:

VII + X =

V = 5

I = 1

X = 10

5+1+1 + 10 = 17

XVII

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

y - (-2) = 1/2(x - (-2))

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

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Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.

Answer:

3x

Step-by-step explanation:

because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x

Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

Answer:

[tex]270 \:m^2[/tex]

Step-by-step explanation:

The area of the triangle.

[tex]bh\frac{1}{2}[/tex]

[tex]b \times h \times \frac{1}{2}[/tex]

[tex]20 \times 27 \times \frac{1}{2}[/tex]

[tex]540 \times 1/2[/tex]

[tex]=270[/tex]

The area of triangle would be;

⇒ Area of triangle = 270 m²

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Here, Given that;

Base of triangle = 20 m

Height of triangle = 27 m

Now, We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values, we get;

⇒ Area of triangle = 1/2 × Base × Height

⇒ Area of triangle = 1/2 × 20 × 27

⇒ Area of triangle = 270 m²

Thus, The area of triangle would be;

⇒ Area of triangle = 270 m²

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Answer:

D

Step-by-step explanation:

I got it on the test

The measure of ∠ABC in the triangle below is 60°

Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.

∠ACB + 135 = 180° (Sum of angles in a straight line)

∠ACB = 45°

In triangle ABC:

∠ABC + ∠ACB + ∠CAB  = 180° (Sum of angle in a triangle)

∠ABC + 75 + 45 = 180

∠ABC = 60°

The measure of ∠ABC in the triangle below is 60°

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Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

Answer:

x = -14

Step-by-step explanation:

Look at the image attatched. I have labeled the angles for better explanation.

We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:

108 = x + 122.

We then solve this by getting:

x = 108 - 122

which gives us the answer of

x = -14

Answer: x = -14

Step-by-step explanation:

a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°

b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°

c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°

d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°

Triangle Sum Theorem states that the sum of the three angles must equal 180°.

36° + ∠2 + 36° = 180°

36° + (x + 22) + 36° = 180°

x + 194 = 180

         x = -14

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!