Ms. Katie had a pizza party with the art club. There are 8 students and each student ate 1/3 of a pizza. How many pizzas did they eat altogether?

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

A f(x + 1) = ⅚ f(x)

each subsequent y is 5/6 of the previous y

so when

x is 1

y is 1296

when

x is 2 (x+1)

y is 1080 (5/6 of 1296)

when

x is 3 (x+1 or 2+1)

y is 900 (5/6 of 1080)

Step-by-step explanation:

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The function which represent the graphical geometric sequence is given by f ( x + 1 ) = ( 5/6 ) f ( x )

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the GP be a₁ = 1296

Let the second term of the GP be a₂ = 1080

So , the common ratio r = second term / first term

r = 1080 / 1296

r = 5/6

So , the geometric progression is given by the relation

aₙ = a ( 5/6 )ⁿ⁻¹

So , the function is represented by f ( x + 1 ) = ( 5/6 ) f ( x )

Hence , the GP is f ( x + 1 ) = ( 5/6 ) f ( x )

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Answer:

Step-by-step explanation:

If it shrunk by 2/7 in the wash it is equal to the equation:

Original length x 2/7 = 70cm so we just have to work backwards so the answer is

Original length = 70/(5/7) = 98cm

OR

WE KNOW THAT 5/7 = 70 so 1/7 = 70/5 = 14 so we times 14 by 7 to get 98cm

Answer:

Step-by-step explanation:

\(2 + 0.4 + 125 = 127.4\)

I hope that is useful for you :)

Answer: 3 4/5

Step-by-step explanation:

The equation that represents the relationship between the distances each girl has run is: Marcia = -3/4 * k + 6.5

Let x be the distance run by Tamara in kilometers.

Since Tamara has completed 3/4 of the race, then x = 3/4 * k.

Since Tamara is 2.5 kilometers ahead of Marcia, then x - 2.5 = 4 - Marcia.

Substituting the first equation into the second equation, we get:

3/4 * k - 2.5 = 4 - Marcia

Multiplying both sides by -1, we get:

Marcia - 4 = -3/4 * k + 2.5

Adding 4 to both sides, we get:

Marcia = -3/4 * k + 6.5

Therefore, the equation that represents the relationship between the distances each girl has run is:

Marcia = -3/4 * k + 6.5

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

The program is an illustration of loops and conditional statements and the part of the complete program is

n = int(input())

for i in range(1,n+1):

  if not(i%3 == 0 or i%5==0):

The program written in Python where comments are used to explain each line is as follows:

#This gets input for n

n = int(input())

#This iterates through n

for i in range(1,n+1):

  #If the current number is not a multiple of 3 and 5

  if not(i%3 == 0 or i%5==0):

      #This prints the number

      print(i,end="")

  else:

      #This prints "Fizz", if the current number is a multiple of 3

      if i%3 == 0:

          print("Fizz",end="")

      #This prints "Buzz", if the current number is a multiple of 5

      if i%5==0:

          print("Buzz",end="")

  #This prints a new line

  print()

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Answer:

Step-by-step explanation:

X=180-57-57=66

Dababy sus

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

I'd say the second answer.

Step-by-step explanation:

Answer:

1997 > y

Step-by-step explanation:

The inequality that presents year before 1997 is y<1997

Inequality shows relation between two expression which are not equal to each others.

According to given condition,

The emoji were introduced in the year 1997,

There can be infinite year before 1997, when emoji were not introduced.

The year y that describes inequality the year before 1997 can be represented as,

y<1997

The required inequality is y<1997.

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Answer:

X= 11

Step-by-step explanation:

m<4 =m<5 ...altarnetive

7×+5 =5×+27

2X = 22

X =11

Answer:

explanation

Step-by-step explanation:

only

the

staff

of

the

aquarium

know

Answer:

2661,62 ml

Step-by-step explanation:

can i plz have brainliest :)

Answer: 0.8

Step-by-step explanation:

Add a decimal point, and then add a zero to 8. Divide 8.0 ÷ 10. Your answer is 0.8 because 0.8 goes into 8 10 times. There is no remainder.

Hope it helps

lovelymoonlight

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer:

 -0.4n-13

Step-by-step explanation:

Answer:

-0.4n-13

Step-by-step explanation:

Answer:

i think its 5%

Step-by-step explanation:

because if you divide 40 by 8 you get 5

Answer:

5%

Step-by-step explanation:

divide 40 by 8 to get 5

Answer:

12.50+1.25t=c  for A

12.50+ (1.25x3)

               /\

               I

              3.75

12.50+3.75=16.25   fro B

12.50+6.25=18.75

Step-by-step explanation:

u r welcome

The inequality could be used to find the greatest number of people, p, that can attend is  3.5p + 5p ≤ 300.

Here the inequality is that the sum of the cost of rentals and food which is represented by 3.5p and 5p, respectively, must be less than or equal to $300. By solving the inequality we can determine the maximum number of people that can attend the party while staying within Xian's budget.

To solve the inequality, we first subtract 5p from both sides to isolate the 3.5p term. This results in 3.5p≤300-5p. Then we divide both sides by 3.5 to isolate p, which yields p≤85.71. Since we can't have a fractional number of people, we can determine the maximum number of 85  people that can attend the party.

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Answer:

Center ( -8, 1 )

Radius ( 13 )

step 1

Apply Pythagorean theorem to find out the horizontal leg

8^2=x^2+7^2

x^2=64-49

x^2=15

x=√15

the cosine is equal to

cos=√15/8 ------> adjacent side divided by the hypotenuse

Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8.                   9*2=18,4*2=8

Answer:

The width of the rectangle is 8.

Step-by-step explanation:

I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.

HOPE IT HELPS :)

Answer:

Hello I'm sorry but I have a question and I have to give ans and I can ask my question

Answer:

y=2x-7

Step-by-step explanation: