At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.
2500 hot dogs must be sold to make a profit
If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:
SP= 4 * 5000
SP = 4 + 0.25x
Total number hot dog sold = 5000 - 200x
Revenue = Sales price*Total number hot dog sold
When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]
Taking the product, the resulting function will be;
[tex]g(x) = -50x^2 + 1250x + 20000[/tex]
To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:
[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]
Substittute x = 12.5 into the total number hot dog sold function
Recall that n = 5000 - 200x
n = 5000 - 200(12.5)
n = 5000 - 2500
n = 2500
Hence 2500 hot dogs must be sold to make a profit
Learn more here: https://brainly.com/question/19594550
[tex]-------------------[/tex]
12+2=
(X-3)(X-12)
Expand and simplify
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
Please help me with this I don't get it
pls i only have 1 minute left hurry
Answer:
look at the picture i have sent
Can someone please help me solve this please
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
Please help! Due in two hours!
Answer:
-175.26
Step-by-step explanation:
[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]
Express (5a3n)3 with positive exponents.
Answer:
45an
Step-by-step explanation:
1st. (5a × 3n) × 3
2nd. Multiply the monomials
3rd. after doing that you get 45an
hi! I need help ! Triangles geometry angles table.
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.
Answer:
so whats the question. ...........
Which of the following is not a subset of {1, 2, 3}?
{0}
{1, 2, 3}
Ø
Answer:
{0}
Step-by-step explanation:
{0} is not because 0 is not an element of set {1, 2, 3}
The null set is a subset of every set, so Ø is.
A set is a subset of itself.
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Enter the correct answer in the box.
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?
She gets 20 dollars every day.
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answer:
r≈93
Step-by-step explanation:
V=4/3πr³
3,367,575=4/3(3.14)r³
3,367,575=314/75r³
multiply both sides by 75/314
804357 27/314=r³
∛804357 27/314=∛r³
r≈93
Evaluate the expression when x=−4/5 and y=1/3.
2x+6y
Answer:
2
--
5
Step-by-step explanation:
Start by multiplying 2 and -4/5 as fractions
2 -4 -8
------ x ------ = -------
1 5 5
Then multiply 6 and 1/3 as fractions
6 1 6 2
------ x ------ = ------- = -----
1 3 3 1
Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.
-8 10 2
------- + ------ = -------
5 5 5
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
Please answer for me
Step-by-step explanation:
sin b= opposite/hypotenuse
sin b = 60/61
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
what is the slope of y=-4?
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado
To begin, remember that the sum of all angles must equal 180.
With that being said, take your two known angles into account.
1 - X = Unknown
2 - 102
3 - 48
To find x, simply add 102 and 48.
102 + 48 = 150, the sum of angle 2 & 3.
Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.
180 - 150 = 30
x = 30
To double check, add all the sides together.
102+48+30 = 180
Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them
Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.
Step-by-step explanation:
By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2+y=5
x^2+ y = 11
Answer:
no answer choices shown but solution
would be [-2.8, -∞] and [2.83, ∞]
Step-by-step explanation:
2x+10=4.what are the steps to follow as to get the actual value of X
You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?
Answer: 8
Step-by-step explanation:
Ok, start going backwards with the addition and substration which makes it:
105 – 25 = 80
Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:
80 divided by 10 = 8
8 Friends is the answer.
5-3x=Px+7
what value must P have for the equation to have no solutions?
Answer:
P = - 3
Step-by-step explanation:
For the equation to have no solutions the the coefficient of x on both sides must be the same.
5 - 3x = Px + 7 ← P = - 3 , then
5 - 3x = - 3x + 7 ( subtract 5 from both sides )
- 3x = - 3x + 2 ( add 3x to both sides )
0 = 2 ← not possible
Meaning the equation has no solutions
12÷5/2=
Tell the answer quick!!
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
What is the value of x?
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7