Answer:
the larger number is 120
Step-by-step explanation:
sum of number = 200
total ratio = 2 + 3 = 5
ratio 1 = 200 ÷ 5 = 40
ratio 2 = 40 × 2 = 80
ratio 3 = 40 × 3 = 120
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.
Find the prize of an adult ticket and the prize of a child ticket.
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
[tex]6a + 2c = 124[/tex]
as equation 1,
and
[tex]3a + 5c = 100[/tex]
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]
Now substitute c into equation 2.
[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
A rectangle is 17 inches long and 7 inches wide find the area
Answer:
119
Step-by-step explanation:
A=w 1=7x17=119
x^2-6=2-18x solve by completing the square
Given the trapezoid below, Peter and
Christine each wrote different expressions to
find its perimeter.
w+2
4
4
6
Peter's expression: 6 + 4+ (w + 2) + 4
Christine's expression:
W + 16
Who is correct? Explain.
O Only Christine is correct.
O Only Peter is correct.
Both Christine and Peter are correct.
O Neither Christine or Peter is correct.
Vi
Answer:
Both.
Step-by-step explanation:
The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.
The perimeter of the trapezium Given below is :
(4 + 6 + 4 + w + 2)
Evaluating both expressions :
Peter = 6 + 4 + (w + 2) + 4
Christine's expression = w + 16
From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides
As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term
Hence, both are correct
Answer:
both of them are correct
Step-by-step explanation:
What is the solution to the equation 3(x-2)=3(x+4)=27
Ox= 12
OX= 14
x= 16
Ox= 26
Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?
Answer:
54
Step-by-step explanation:
16 x 3 is 48 then plus 6 is 54
For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then
(-8, -1); slope = - 3/4
Pleaseee this onee!!
Answer:
y = -3/4x - 7
Step-by-step explanation:
Slope intercept:
y - y1 = m(x - x1)
y + 1 = -3/4(x + 8)
y + 1 = -3/4x - 6
y = -3/4x - 7
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amount he paid for the pair of shoes.
Answer: $90
Step-by-step explanation:
To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)
Answer:
$60.00
Step-by-step explanation:
100 - 60 = 40% (Percentage after discount)
100% = 150
1% = 150 ÷ 100 = 1.5
40% = 1.5 x 40 = $60
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?
5% of 40,000 is 2,000
I don’t get this question and need help. please hell
Stephanie is going to paint the walls and ceiling of her bedroom. Her room is 18 feet long, 17 feet wide and 9 feet high.
What is the square footage (area) of the walls and ceiling that Stephanie will be painting?
The square footage Stephanie will be painting is ________ square feet. (Enter the number only)
How many gallons of paint does Stephanie have to purchase if each gallon of paint covers 250 square feet?
Stephanie will have to buy _____ gallons of paint. (Remember, you can only purchase a WHOLE number of gallons;Enter the number only)
If each gallon cost $23.75, how much will Stephanie spend on paint?
Stephanie will spend $________ on paint. (Enter the number only)
Answer:
55
Step-by-step explanation:
Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth
Answer:
mean: 10.4
median: 9.5
Step-by-step explanation:
Six children want to share five chocolate bars fairly. How much chocolate will each child get?
Answer:
0.8 of a chocolate bar
Step-by-step explanation:
Bc 5 divided by 6 is 0.8
Someone please answer this without trying to send me a link
Answer:
y=-2x+5
Step-by-step explanation:
y=-2x+5
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
5th grade math. correct answer will be marked brainliest
Answer:
Zack has 8 stamps with pictures of animals
Step-by-step explanation:
Number of Stamps that Zack has = 10
Number of Zack's Stamps that have the pictures of animals = ⅘ of 10
= ⅘ × 10
= 40/5
= 8
Zack has 8 stamps with pictures of animals
I really need help!
Mercury is 3.6 x 10^6 miles from the sun. Pluto is 3.6 x 10^9 miles from the sun. how many times farther from the sun is pluto than mercury? Answer written in scientific notation.
Thank you!
Answer:
[tex]3.6 * 10^{3} \\\\[/tex]
Step-by-step explanation:
Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?
Answer:
106
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
(14 x 7) + 8 = 106
Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =
Answer:
<BGC and <FGE are vertical angles
<BGC=90°-42°=48°
So m<FGE=48°
Hope it helps...
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
Dolly's best ski time is 76 seconds this time is 1 1/3 times the best time score by Andrew what is Andrews best
Answer:
answer is here
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html
change 7 3/8 from a mixed. number to to an improper fraction
Answer:
59/8
Step-by-step explanation:
Multiply the whole number by the denominator.
[tex]7 * 8 = 56[/tex]
Add the numerator to the product.
[tex]56 + 3 = 59[/tex]
Write the sum over the denominator.
[tex]\boxed{\frac{59}{8}}[/tex]
Hope this helps.
repersent 3 and 1/3 on a number line
Answer:
Step-by-step explanation:
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.
Another way of saying it is:
In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.
Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.
Portrayals of Fractions on a Number Line
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.
Portions on a Number Line
By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3
brainliest?
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
p = 43 :)
Your welcome DaBaby
What App or what Website can help me solve problems of Statistics?
the varsity tutors ap statisyics app (app)
PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.
Step-by-step explanation: