shri1301
08.07.2019 •
Mathematics
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
Solved
Show answers
More tips
- W Work and Career Where can you learn to be a flight attendant?...
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Please help me, thank you...
- M Mathematics If Jessica takes 2/5 hour to repaint 5/8 of her wall, how long will it take to paint her whole wall?...
- G Geography In triangular trade, the americas exported a. manufactured goods b. raw materials c. slaves d. none of the above...
- F French Ecrivez un texte ayant le titre .employez les verbes suivants ? l indicatif present. partir,aller,décider,faire,visiter,choisir,se promener,rentrer....
- P Physics suppose you use three different scales to weigh bag of oranges one scale says the bag weighs 2.1 lbs a second says it weighs 2.2 lbs and a third says it weighs 2.1 lbs...
Ответ:
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)
Ответ:
Slant height (s)= 12.1 cm
Step-by-step explanation:
Given: Base= 4.5 cm.
Surface area of right square pyramid= 129.5 cm.
First, calculating slant height (s) of right square pyramid.
Surface area of square pyramid=
a= side of square base.
s= slant height
∴
⇒
⇒
Now, opening the parenthesis and subtracting both side by 20.25.
⇒
cross multiplying both side
∴ Slant height (s)= 12.1