The table shows the proportional relationship between the number of tickets required per game at a carnival.


Games 3 8 13
Tickets 9 24 39


Determine the constant of proportionality.
18
6
5
3
PLS HELP

Answer: p=-1

Step-by-step explanation:

To find the value of p, we can manipulate the right side so that it looks like the left.

We know that \(\sqrt{4}=2\). Therefore, it can be written as 2¹.

\(\frac{1}{4}\) is the same as \(\frac{1}{2^2 }\) because 2²=4. To make it not a fraction, we can flip it and change the exponent. \(\frac{1}{4}=2^-^2\)

Now, we can put them together.

\(2^p=2^1*2^-^2\)         [multiply]

\(2^p=2^-^1\)

Now, we know that p=-1.

Answer:

B. 0.220

Step-by-step explanation:

The table is presented properly below:

\(\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|\)

Number of junior students who prefers veggies =23

Number of senior students who prefers veggies =28

Total =23+28=51

Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie

=51/232

=0.220 (to the nearest thousandth)

The correct option is B.

Answer:

C

Step-by-step explanation:

bc the rate of change is not 5/1 it is 4/1

Answer:

c

Step-by-step explanation:

It only a rise of 4 not 5.

Answer:

9 4/5

Step-by-step explanation:

I hope that helps! :)

Answer:

12.6 times 0.45

price: .45

quantity: 12.6

cost = price x quantity

Answer:

12.6 x 0.45

Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.

Answer:

n = 70

Step-by-step explanation:

-8 + n = 62

      n = 70

Answer:

5 °Celsous

Step-by-step explanation:

-12 + (5 +5+5+5)-3=

-12 + 20 - 3 =

-12 + 17 = 5

Answer:

C

Step-by-step explanation:

i did the test

Answer:

d. 770

Step-by-step explanation:

35 gallons per min

after 12 mins there is 350 gallons of water

35 x 12 = 420

how much water was in the tank BEFORE the valve was opened

350 + 420 = 770

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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Hello :D

To find out the original price you have to do:

$36.64 + $2.18 = $38.82

Original price = $38.82

9514 1404 393

Answer:

  (-4, -13)

Step-by-step explanation:

When the translation (T) is added, the image is formed.

  (4, -9) +T = (9, -14)

  T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)

The same holds for the second point:

  (-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)

The image of the second point under the same translation is (-4, -13).

Step-by-step explanation:

5q+8p=775

q + p = 125

5q + 8q = 775

-5q -5q = -625

3q = 150

q = 50 premium

q + 50 = 125

q = 75 quick

Correct answer is

A: 5x+8y=775 and x+y =125

Next Answer is

50 premium car washes

75 Quick Car Washes

Answer:

15: 10.99

2(3.14)r

3.5/2 = 1.75

2(3.14)1.75

10.99

16: 50.24

2(3.14)8

50.24

17: 260%

2 = 200%

3/5 = 60%

200 + 60 = 260%

Have an amazing day!

Please rate and mark brainliest!!

Answer:

you add 4 each time

Step-by-step explanation:

Answer:

Pattern is Input • 4 + 1

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

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Answers:

Q1.a: 11g

Q1.b: 3m

Q1.3: \(-k^{2}\)

Q2.a:  8x + 11y

Q2.b: 2a + b - 2c

Q3.a: 5q + 7

Q3.b: 6r + 3s + 7t

Step-by-step explanation:

Q1) simplify each of these expressions:

a. \(4g + 6g + g\)

= g(4 + 6 + 1)

= 11g

____________

b. \(4m - m\)

= m(4 - 1)

= 3m

____________

c. \(5k^{2} -4k^{2} -2k^{2}\)

= \(k^{2} (5 - 4 - 2)\\\)

= \(-1k^{2}\)

= \(-k^{2}\)

__________________________________

Q2) copy and complete the workings to simplify these expressions:

a. \(5x + 3x+6y+5y\\\)

= x(5 + 3) + y(6 + 5)

= 8x + 11y

____________

b.\(2a+4b+6c-3b-8c\)

combine terms b:

2a + b + 6c - 8c

combine terms c:

= 2a + b - 2c

__________________________________

Q3) simplify these expressions by collecting like terms:

a.\(9q-4q+15-8\)

combine terms q:

5q + 15 - 8

combine numbers:

= 5q + 7

____________

b. \(8r+2s+4t-2r+s+3t\)

combine terms r:

6r + 2s + 4t + s + 3t

combine terms s:

6r + 3s + 4t + 3t

combine terms t:

= 6r + 3s + 7t

3x+4>=16

3x>=12

x>=4

Therefore the answer is 4

Answer:

using question mark as reference angle

Base = 13

hypotenuse = 18

usimg trigonometric ratios

cos? = B/h

? = inverse(13/18) = 43.74 = 44°

Step-by-step explanation:

Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.

According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.

\( \cos( \theta) = \frac{base}{hypotenuse} \\ \)

\( \cos( \theta) = \frac{13}{18} \)

Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.

\( \theta = \cos {}^{ - 1} ( \frac{13}{18} ) \)

\( \theta = \cos {}^{ - 1} (0.7222222222) \)

\( \boxed{ \theta \approx \: 43.76174269 \degree}\)

━━━━━━━━━━━━━━━━━━━━

The smallest value of x that gives a positive length and width is x = 10√(35)/7 - 3.

The term "volume" describes how much space a three-dimensional object occupies.

It is usually measured in cubic units such as cubic meters, cubic feet and cubic centimeters.

The volume of an object can be calculated by multiplying the  length, width and height of the object, or using other formulas depending on the shape of the object.

Let L and W be the length and width of the  base of the rectangle, and let x be the height of the surface of each triangle. The volume of the prism  can then be expressed as:

V = (1/2)(LW)(2x)(LW)(3) = 105

Simplifying and solving  LW, we get:

LW = 70/x9

Since the base of a rectangular prism is a rectangle, we know that L and W must be positive. Therefore,  we can apply the AM-GM inequality to minimize LW:

LW/2 = [(LW)/2]² andlt;= L²W²/16

Multiplying both sides by 4 and taking the square root, we get:

LW <= 2√35

Substituting this inequality into the above LW expression gives:

70/x 9 andltt; = 2√35

Solving for x, we get:

x >= 10√35/7 – 3

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The given function is continuous at  x = 3,  RHL = LHL = F(2)

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  =  (x²-9)/(x² - x -6)(x² + 6x +9)

To check whether it is continuous at x = 2

First taking LHL,

\(\lim_{h \to \ 0}\)  ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)

⇒  -5/(-4x25)

⇒   1/20

Now, taking RHL

\(\lim_{h \to \ 0}\)  ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)

⇒  -5/(-4x25)

⇒   1/20

The value at x = 3

F(3)  =   ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)

       =  -5/(-4x25)

       =   1/20

Hence Proved,   RHL = LHL = F(2)

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Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

Answer:

Step-by-step explanation:

You find the answer of 20 x 15 and subtract 15.

Answer:You find the answer of 20 x 15 and subtract 15.

Step-by-step explanation:

Answer:

ye sure is that what you need help with or is there more to it?

Step-by-step explanation:

Answer:

29.458 years

Step-by-step explanation:

Bro this is easy, it's literally addition, pay attention in class, but thank you for the points

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

Answer:

\( \pink{ \pmb{SOLUTION:-}}\)

Here,

\(\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }\)

\((6 + x)(76 + x) = (36 + x)(16 + x)\)

\(456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} \)

\(82x + 456 = 576 + 52x\)

\(82x - 52x = 576 - 456\)

\(30x = 120\)

\(\displaystyle{x = \frac{120}{30} }\)

\({ \rightarrow{ \pmb{x = 4}}}\)