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
Papessa [141]
3 years ago
15

Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets $

25. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school:
What is the minimum number of at-the-door tickets she needs to sell to make her goal?

A,333
B.334
C.66
D.67

Mathematics
2 answers:
Ivenika [448]3 years ago
5 0

Answer:

D. 67

Step-by-step explanation:

To help me see the region we needed to look at, I wrote the inequalities out.

Let x be number of pre-sale tickets and y be the number of at-the-door tickets as your graph suggests.

So one of the inequalities about number of where the other one is about cost.

You are given x+y is no more than 400 or x+y<=400 (the top line graphed in your picture is x+y=400).

You are given 10x+25y is at least 5000 or 10x+25y>=5000 (the bottom line graphed in your picture).

I solved both of these for y.

x+y<=400

Subtract x on both sides giving y<=-x+400 (shaded below line because of the y< part).

10x+25y>=5000

Subtract 10x on both sides:

       25y>=-10x+5000

Divide both sides by 25:

          y>=-2/5 x+200 (shaded above the line because of y> part).

The region we should then be looking at is:

Let's look at the points (0,400), (0,200), and finally (333,67).

Cost=10x+25y

Let's plug in

Cost=10(0)+25(400)=10000

Cost=10(0)+25(200)=5000  (can we go lower than 200)

Cost=10(333)+25(67)=5005 (our y is lower 200 so far this is the winner)

Cost 10(334)+25(66)=4990 (didn't meet the 5000 dollar requirement)

67 D.

(Also if you look at the graph 66 would not be included in the shaded region; it would be too low)

Strike441 [17]3 years ago
4 0

Answer:

it's d

Step-by-step explanation:

You might be interested in
Express as a fraction in the simplest form: 43.5%
frez [133]

Answer:

C

Step-by-step explanation:

43.5 x 10 = 435

435/1000 = 87/200 (simplified)

7 0
2 years ago
A ferris wheel can accomidate 65 people in 25 minutes
faust18 [17]

Answer:

325

Step-by-step explanation:

I dont know how to explain it

4 0
2 years ago
Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mi
d1i1m1o1n [39]

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

2.5+8=$10.50

8 0
3 years ago
A rectangle has sides that measure x + 1/4
maksim [4K]

Answer:

6x + 5/6

Step-by-step explanation:

2(x + 1/4) + 2(2x + 1/3)

2x + 1/2 + 4x + 2/3

6x + 5/6

6 0
2 years ago
What is the decimal multiplier to decrease by 3.9%?
soldier1979 [14.2K]

Answer:

0.495

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • I really need help on this question!!!ASAP!!!(Feel free to show your work :)​
    7·1 answer
  • 6 times the difference of a number x and 5 is 42. Write an equation that describes this situation. A) 6x + 5 = 42 B) 6x - 5 = 42
    12·1 answer
  • 1
    15·1 answer
  • The nth term of a quadratic sequence is:
    7·1 answer
  • Simplify. 3x – 8(x + 4)
    14·1 answer
  • Please answer this correctly
    14·2 answers
  • Simplify: 11(4d+6)<br><br> ................................
    11·1 answer
  • The length of a rectangle is 3 ft longer than it’s width. If the perimeter of the rectangle is 26 ft find the are
    8·1 answer
  • 15 divided by 3.15 what is the unit rate
    8·1 answer
  • PLEASEE ANSWER ASAP PLEASE CAN SOMEONE ANSWER QUESTION A AND B ASAPP <br> 50 POINTTSS!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!