An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.
Answer:
R(x) = (4.50 – 0.50x)(700 + 100x)
___________________________
R(x) is in factored form
Where x is each decrease in the price.
____________________________
Explanation:
R(x) is in the form ax² + bx + c.
This is where the equation is distributed and simplified [Standard form]
The maximum revenue is represented by
R(-b/2a), where the vertex of this relationship is, at x = -b/2a.
Revenue = (Price)(Quantity)
____________________________
R(x) = (4.50 – 0.50x)(700 + 100x) →
-50x² + 100x + 3150 [ax² + bx + c].
x = -b/2a
x = -(100)/2(-50)
x = -100 / -100
x = 100 / 100
x = 1
Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.
R(2) = -50(1)² + 100(1) + 3150
R(2) = -50(1) + 100 + 3150
R(2) = -50 + 100 + 3150
R(2) = 3200.
_______________________________
Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.
I need help pls
I WILL GIVE BRAINLIEST
Pls help
Answer:
1. The square root of 100
2.c=27.11
d=13.96
e=12.6
Step by step explanation:
1. 2×50=100 the geometric mean is the square root of 100
2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.
c²=30²-d²
c²=e²+24²
d²=e²+6²
both the following add up to c² meaning they are equal:
c²=30²-d²
c²=e²+24²
thus
30²-d²=e²+24²
I want to remain with d² only thus;
30²-24²-e²=d²
900-576=324 (squareroot of 324=18) so
d²=18²-e² and d²=e²+6²
both the above add up to d² meaning they are equal thus;
18²-e²=e²+6²
18²-6²=e²+e²
324-36=2e²
318=2e²
159=e²
e=12.61
Thus d²=e²+6²
d²=12.61²+6²
d²=159+36
d²=195
d=13.96
c²=e²+24²
c²=12.61²+24²
c²=159+576
c²=735
c=27.11
I hope this helps
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
6
Step-by-step explanation:
We know that the two quads are of similar and the ratio is 1:2, thus
AB/RS = 1/2
3/x = 1/2
x = 6
41 Sam has traveled 800 miles in 1.5 days. How
long would it take him to make a cross-country
trip of 2,500 miles traveling at the same average
speed?
A 3.45 days
4.69 days
4.98 days
05.12 days
please answer as soon as possible!!!
Answer: A or D
Step-by-step explanation:
Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .
Answer:
I gotchuThese are all fractions btw.11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!
Answer:
11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
those are you answers... you can mark the other guy brainliest i have enough
Step-by-step explanation:
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simplified. -4(x+2)-2x+4
Given:
The given expression is
[tex]-4(x+2)-2x+4[/tex]
To find:
The two other equivalent expressions.
Solution:
We have,
[tex]-4(x+2)-2x+4[/tex]
Using distributive property, we get
[tex]=-4(x)-4(2)-2x+4[/tex]
[tex]=-4x-8-2x+4[/tex]
So, one equivalent expression is [tex]-4x-8-2x+4[/tex].
On further simplification, we get
[tex]=(-4x-2x)+(-8+4)[/tex]
[tex]=6x-4[/tex]
Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].
Please look at the picture I need help please answer!!!!???
Answer:
16t
Step-by-step explanation:
Answer:
The answer is 8 tons.
16,000 lbs = 8 T
12(3+m)
A.36m
B.36+m
C.36+12m
D.3m+12m
PLEASSSSEEE HELP ASAP 15
Answer:
C. 36+12m
Step-by-step explanation:
When you distribute a number outside the parenthesis, you multiply it to all numbers nor letters in the parenthesis. Hopes this helps
Spanky's Sporting Goods is having a sale. All merchandise is 20% off the original price. The original price on a tennis racket is $78.99.
What is the sale price?
A
x
$15.80
B
x
$63.19
C
x
$157.98
D
x
$58.99
Answer:
B. $63.19
Step-by-step explanation:
You will pay $63.19 for a item with original price of $78.99 when discounted 20%. In this example, if you buy an item at $78.99 with 20% discount, you will pay 78.99 - 15.798 = 63.19 dollars.
Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]
Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
Alexander is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he flips a coin and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answer:
its 24
Step-by-step explanation:
delta math said it was right
Answer is 12.
Possible Outcomes:
It is a list of all the resulting possibilities from an event.
(Here),
when he flips the coin, there are 2 outcomes = {front, back}
When he rolls a die, there are 6 outcomes = {1, 2, 3, 4, 5, 6)
For every outcomes of coin there are 6 outcomes of a die.
So, Possible outcomes = 2 * 6 = 12.
Learn more about Possible Outcomes here:
https://brainly.com/question/22299224?referrer=searchResults
#SPJ2
A piggy bank contains six times as many quarters as dimes. If the total amount of money
is $28.80, how many quarters and dimes are in the piggy bank?
9514 1404 393
Answer:
108 quarters18 dimesStep-by-step explanation:
A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...
$28.80/$1.60 = 18
groups like that in the piggy bank.
The number of quarters is 18×6 = 108.
The number of dimes is 18×1 = 18.
There are 108 quarters and 18 dimes in the piggy bank.
Write the standard equation of the circle.
Answer:
x^2 + y^2 = 4
Step-by-step explanation:
General for of a circle is x^2 + y^2 = r^2
The circle is centered at the origin and the radius is 2.
what ratio below is not equivalent to the ratio 10:35
Answer:
1/2
Step-by-step explanation:
In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.
What is a ratio?The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.
The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.
Thus the correct option is A, B and C.
To know more about ratio, visit;
https://brainly.com/question/29192438
#SPJ3
Your question is incomplete most probably your full question was:
what ratio below is not equivalent to the ratio 10:35
A. 3:5
B. 2:4
C. 1:3
D. 2:7
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
factorise fully :
4(x - y)^2 - 9(x + y)^2
Answer:
- ( 5x + y ) ( x + 5y )
or
-5x^2 - 5y^2 - 26xy
Answer:
Step-by-step explanation:
4(x^2-2xy+y^2)-9(x^2+2xy+y^2)
4x^2-8xy+4y^2-9x^2-18xy-9y^2
-5x^2-26xy-5y^2
-5x^2-xy-25xy-5y^2
-x(5x+y)-5y(5x+y)
(-x-5y)(5x+y) or you can also remove the negative one to get
-(x+5y)(5x+y)
meter in length. What
The fairy fly is one of the world's smallest insects. It may measure no more than 1.39 x 10
the total length of 2 of these insects, placed end to end?
A 2.78 x 10-8 meter
B. 2.78 x 10
-4
aft
meter
C. 1.39 x 10
-8
meter
D. 1.39 x 10
0--2
meter
Which expression is equivalent to 8 + 2x?
Answer:
2(4+x)
Step-by-step explanation:
100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.
Answer:
this is your answer look it once
Answer:
5: x > 6
6: x < 62
Step-by-step explanation:
[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]
[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]
PLEASE HELP DUE IN 20 MINUTES
Answer:
25x3
Step-by-step explanation:
Someone needed help with these questions, I couldn't answer it since two people are already answering it soo... Please help him/her!
First Question:
Follow PEMDAS
Parentheses, Exponents, Multiplication or Division, Addition or Subtraction
3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 2³)
= 3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 8)
= 3 ÷ [tex]\frac{1}{4}[/tex] × (20)
= 3 × 4 × 20
= 12 × 20
= 240
Second Question:
change the mixed number into an improper fraction:
[tex]3\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
= [tex]\frac{11}{3}[/tex] ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{11}{3}[/tex] × [tex]\frac{4}{3}[/tex]
= [tex]\frac{44}{3}[/tex]
rounded to WHOLE number: 14 containers
????help me please #6thgrademath
Answer:
c
Step-by-step explanation:
you divide to see how much she earns per hour
A recipe requires teaspoon of ground cinnamon, 1 teaspoon of ground
nutmeg, and teaspoon of ground allspice. Kate wants more flavor in her
dish and has added an extra teaspoon of each of the three spices.
Which is the best estimate of the total number of teaspoons of spices in
Kate's dish?
Answer:
2 teaspoons of cinnamon 2 teaspoons of nutmeg and 2 teaspoons of allspice. which would be 6
Step-by-step explanation:
(x^2+8x+16)-1-16
what is the vertex form
Answer:
Use photo math, it will explain it all in different forms
There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?
Answer:
y = 1/10 x + 18/5
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line
y - 3 = 1/10(x --6)
multiply both sides by 10
10y - 30 = x + 6
Rearrange
10y = x + 6 + 30
10y = x + 36
y = 1/10 x + 36/10
y = 1/10 x + 18/5
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answer: 4x -8+ 125x -4x +5
b.
how many bags are needed to seed the lawn?
If one bag of grass seed covers 2,000 square feet,
-plies.
I’m not sure how to do this
-0.6 ÷ 3/4
1. 0.8
2. -0.8
3. -0.15
4. 0.15