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Ainat [17]
3 years ago
11

Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the tri

p, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla 3. only has enough materials to make 40 necklaces. (A) write two constraints to model the problem. Let x respresent the number of lawns Jordan mows and y represent the number of necklaces Sharla sells. (B) can sharla afford the down payment with the money she earns selling her necklaces? Explain your answer . PLEASE HELP ITS DUE TODAY AND I DON’T UNDERSTAND!!!
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Amount of down payment = $650.

Jordan gets money by mowing lawns = $25 per lawn.

Sharla gets money by selling handmade necklaces for = $15 each necklace.

The number of lawns Jordan mows = x.

The number of necklaces Sharla sells = y.

A) Total money raised by Jordan to move x lawns at the rate $25 per lawn = 25x.

Total money raised by Sharla by selling y handmade necklaces for $15 per necklace = 15y.

Total money Sharla can raise by selling 40 necklaces at the rate $15 each = 40 × 15 = $600.

<h3>B) Because <u>Sharla can raise maximum $600, therefore sharla can not afford the down payment with the money she earns selling her necklaces.</u></h3>

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Artie has a book of short stories. The number of each type of short story is shown below.
enyata [817]

we are given

• 6 science-fiction stories

• 4 adventure stories

• 3 historical stories

• 2 sports stories

so,

total number of stories =6+4+3+2

total number of stories =15

Probability of selecting science stories:

number of science stories =6

total number of stories =15

P(S)=(number of science stories)/(total number of stories)

p(S)=\frac{6}{15}

p(S)=\frac{2}{5}

Probability of selecting adventure stories:

number of adventure stories =4

total number of stories =15

P(A)=(number of adventure stories)/(total number of stories)

p(A)=\frac{4}{15}

p(A)=\frac{4}{15}

now, we can find

the probability that the story Artie selects is either a science-fiction story or an adventure story

that is P(AUS)

p(AUS)=p(A)+p(S)-p(A∩S)

we know that

p(A) and p(S) are independent

so,

p(A∩S)=p(A)*p(S)

we can plug it

p(AUS)=p(A)+p(S)-p(A)*p(S)

we get

p(AUS)=\frac{2}{5}+\frac{4}{15}-  \frac{2}{5}*\frac{4}{15}

p(AUS)=\frac{14}{25}...........Answer

4 0
4 years ago
0.5 is equivalent to what rational number?
sleet_krkn [62]

Answer:

\frac{1}{2}

Step-by-step explanation:

6 0
3 years ago
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Find the width of a rectangular room with a length of 60 meters adn an area of 2,4000 square meters.
Kaylis [27]

The answer would be 400 meters in width.

All you have to do is 24,000÷60=400.

Hope this helps.

5 0
3 years ago
Which of the following equations could be the result of using the comparison method to solve the system shown?
masya89 [10]

Answer:

6-2y=4y+8

since you show x through y

Answer:

The result that is obtained on comparing the system of equations in order to get the solution to the system of equations is:

   6 -2y =4y + 8

Step-by-step explanation:

We are given a system of equations in term of variable x and y as follows:

                                x + 2y = 6 --------(1)

                           x - 4y = 8-------------(2)

From equation (1) we have the value of x in terms of y as:

                          x=6-2y

From equation (2) we have the value of x in terms of y as:

                         x=8+2y

Hence, on equation the above two values of 'x' we obtain:

                         6 - 2y = 4y + 8

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A triangle has side lengths of (6a-3b)(6a−3b) centimeters, (5a+5c)(5a+5c) centimeters, and (8c-b)(8c−b) centimeters. Which expre
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Answer:

P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL (First Outside Inside Last)
  • Factoring

<u>Geometry</u>

Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃

  • L₁ is one side
  • L₂ is another side
  • L₃ is the 3rd side

Step-by-step explanation:

<u>Step 1: Define</u>

L₁ = (6a - 3b)(6a - 3b)

L₂ = (5a + 5c)(5a + 5c)

L₃ = (8c - b)(8c - b)

<u>Step 2: Find Perimeter</u>

  1. Substitute in variables [Perimeter - Triangle]:                                              P = (6a - 3b)² + (5a + 5c)² + (8c - b)²
  2. Expand [FOIL]:                                                                                                P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)
  3. Combine like terms (a²):                                                                                 P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²
  4. Combine like terms (b²):                                                                                P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²
  5. Combine like terms (c²):                                                                                P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bc
  6. Rearrange variables:                                                                                      P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bc
  7. Factor:                                                                                                             P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
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3 years ago
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