1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aalyn [17]
2 years ago
13

A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the mo

st money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided. ​
Mathematics
1 answer:
horsena [70]2 years ago
5 0

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

<h3>What is a Sequence?</h3>

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

  • x , x - 50, x - 100, x - 150, x - 200

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: brainly.com/question/2400667

You might be interested in
The Potter Valley basketball team did not record how many baskets each player made during the last game. Jenny remembers that sh
lesya692 [45]

Answer:  The approximate values that every player make are,

Tammy = grace = 5.43 baskets

Jenny = 16.30 Baskets

Alex = 11.43 Baskets

Joan = 1.43

Step-by-step explanation:

Let Grace made x baskets.

Then According to the question,

Jenny made baskets = 3x

Alexis made basket = x + 6

Joan made basket = x - 4

Tammy made baskets = x

Since,  Altogether the five players made 40 baskets.

⇒ x+ 3x + x + 6 + x - 4 + x = 40

⇒ 7x + 2 = 40

⇒ 7x = 38

⇒ x = 38 / 7 = 5.42857142857 ≈ 5.43

Thus, Grace made baskets= Tammy made baskets = x = 5.43

Jenny made baskets = 3 × x = 16.2857142857 ≈ 16.30

Alexis made basket = x + 6 = 11.4285714286  ≈ 11.43

Joan made basket = x - 4 = 1.42857142857

≈ 1.43




5 0
2 years ago
If w varies jointly as x and y when w = 12, x = 2, and y = 18, what is the value of y when w = 16 and x = 6?
hichkok12 [17]
Joint variation means that w=kxy where k is constant.
Finding k:
12=k*2*18
12=36k
k=1/3

Now plug in second set of values
16= 1/3*6*y
16=2*y
y=8

Final answer: 8
7 0
3 years ago
Read 2 more answers
Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
emmasim [6.3K]

Answer:

12 pens

Step-by-step explanation:

Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.

Price of a notebook = $1.59

Price a pen = $0.29

Total amount spent = $5.07

But,

1.59 + 0.29 n = 5.07

So that,

0.29 n = 5.07 - 1.59

0.29 n  = 3.48

n = \frac{3.48}{0.29}

  = 12

Therefore, Kamila bought 12 pens.

6 0
3 years ago
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
how much money has to be invested at 3.3% interest compounded constinuously to have $45,00 after 19 years
Sedaia [141]
P=$24038.60 has to be invested to have $45000 after 19 years
3 0
3 years ago
Read 2 more answers
Other questions:
  • An orchard has 30 rows of apple trees. There are 3 trees in each row. How many apple trees are in the orchard?
    5·2 answers
  • a factory produces 30480 bolts in 12 hours. if the same number of bolts are produced each hour, how many bolts does the factory
    11·1 answer
  • Which one is greater -1.7 or -1
    10·1 answer
  • Which is the minimum value of the function y=x^2+8x+7
    13·2 answers
  • Given:f(x)=x-7 and h(x)=2x+3 write the rule for f(h(x))
    10·1 answer
  • The number of geese at a city park in the year 2015 was 132. The population is declining by 3 geese every two years. The populat
    14·1 answer
  • Please answer this for me really struggling thanks
    5·1 answer
  • Please help my brain is mush i dont understand how this works nd i still have 11 assignments after this-
    12·1 answer
  • ILL GIVE BRAINLIEST!!!!! <br> write a subtraction number line model. -10 -8 -6 -4 -2 0 2 4 6 8 10
    14·1 answer
  • In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!