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alex41 [277]
3 years ago
14

The Sweet water High School Project Graduation committee is hosting a dinner-and-dance fundraiser at the Sweet water Community C

enter. The committee hopes to raise at least $7500 with this event. Tickets for the fundraiser are $75.00 per couple, and they have to pay a $375 fee for renting the community center. Write and solve an inequality to determine the minimum number of tickets they need to sell to reach their goal.
Mathematics
2 answers:
SIZIF [17.4K]3 years ago
8 0

Answer:

75t-375>7500; they must sell at least 105 ticket to reach their goal.

Step-by-step explanation:

yan [13]3 years ago
4 0

Answer:

<h2> 105 tickets</h2>

Step-by-step explanation:

To solve this problem we need to model an equation to represent the situation first.

the goal is to archive $7500 in the even, bearing in mind that there is a cost of $375 fee for rent, we need to put this amount into consideration

let the number of tickets be x

so

75x-375>=7500--------1

Equation 1 above is a good model for the equation

we can now solve for x to determine the number of tickets to be sold to archive the aim

75x-375>=7500--------1

75x>=7500+375

75x>=7875

divide both sides by 75 we have

x>=7875/75

x>=105 tickets

so they must sell a total of 105 tickets and above to meet the target of $7500 with the rent inclusive

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In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have betw
stealth61 [152]

Answer:

1. 2 ≤ n ≤ 4

2. 4 * 20

3. T < 80

4. (2 * 4) + (4 * 3)

5. 16 ≤ P ≤ 32

Note: The quantities described are as follows:

1) the allowable number of players on a team  

2) the number of points,  , Han's team earns in one round if every player earns a perfect score  

3) the number of points,  , Han's team earns in one round if no players earn a perfect score  

4) the number of players,  , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each

5) the possible number of players in a game with eight teams

Step-by-step explanation:

1. Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32

4 0
3 years ago
Find the<br>simple interest:<br>Princpd $6000<br>Interest Rate 5%<br>Time: 6 months<br>Start​
sattari [20]

Answer: The interest is: $150.00

The formula we'll use for this is the simple interest formula, or:

Where:

   P is the principal amount, $6000.00.

   r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

   t is the time involved, 6....month(s) time periods.

   Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

       Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.

   So, t is 0.5....year time periods.

To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:

The interest is: $150.00

8 0
3 years ago
What formula would I use to find X?
liraira [26]
Check the picture below.

make sure your calculator is in Degree mode.

4 0
3 years ago
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length. How long is each piece?
Vera_Pavlovna [14]

Answer:

48 Yards long

Step-by-step explanation: You multiply 24x 2

3 0
3 years ago
Read 2 more answers
Please help domain/range and eqation
Elena-2011 [213]
Domain: (infinity, 4]
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4 0
2 years ago
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