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.
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answer:
Isosceles right triangle.
Step-by-step explanation:
From the given triangle ABM,
AM ≅ MB [Given]
∠AMB is an angle subtended by the diameter AB.
By theorem, angle subtended by a diameter is always 90°.
m∠AMB = 90°
So the given triangle is a right triangle with two equal sides AM and MB.
Therefore, ΔAMB is an isosceles right triangle.
Find the measure of the angle
Answer:
27
Step-by-step explanation:
The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.
5t - 13 = 3t + 3
2t - 13 = 3 (Subtract 3t from both sides)
2t = 16 (Add 13 to both sides)
t = 8 (Divide both sides by 2)
Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.
5(8) - 13
40 - 13
27
So, the measure of angle X is 27
What is the slope of the line that passes through the points (25, 50) and (80, 110)?
PLs HELP I WILL DO ANYTHING
Answer:
12/11
Step-by-step explanation:
the formula to find the slope of a line is:
where is the slope and and are the points where the line passes.
in this case we have that the first point is: (25,50) thus⇒ and
and the second point: (80,110) thus ⇒ and
substituting this values into the formula for the slope:
the slope of the line is 12/11
Which box and whisker plot represents this data: 6,7,8,10,18,20,22,25,28,28,30,30?
Answer:
its the last one D
Step-by-step explanation:
The median is 22 and the rest dont have that as the median
Solve for x solve for x
Answer:
15
Step-by-step explanation:
The sum of angles around a point is added up to 360°.
Accordingly,
4x - 2 + 9x + 6 + 8x - 5 + 46 = 360
Combine like terms.
21x + 45 = 360
Subtract 45 from both sides.
21x = 360 - 45
21x = 315
x = 15
please help with this vocab will mark brainliest
Answer:
1. Semicircle
2. Arc Length
3. Minor arc
4. Arc Measure
5. Circumference
6. Diameter
7. Radius
Please answer the following:
Answer:
Conner's work is correct
Jana's work is incorrect
Step-by-step explanation:
Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.
Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.
whats the area of this figure
Answer:
341km2
Step-by-step explanation:
7km*25km=175km2
8km*(11km+6km)=136km2
5km*6km=30km2
175km2+136km2+30km2=341km2
For a Valentine's Day party at his school, Kenneth is cutting ribbons to tie around boxes of candy. Each box of candy needs 1 2 of a foot of ribbon. Kenneth has 15 feet of ribbon in all. How many boxes of candy can Kenneth tie with a ribbon? Write your answer as a fraction or a whole number. pls i need help
Answer:
30 boxes
Step-by-step explanation:
if that is a 1/2,
then he needs half for each box
he has 15 feet's of ribbon
for every two boxes he needs 1 foot of ribbon
2×15=30
what valie of x makes the equation true
Answer:
x = 1.25
Step-by-step explanation:
-3x+10 = 5x-8
+3x +3x
10 = 8x - 8
+8 +8
18 = 8x
x = 18/8
x = 1 1/4 = 1.25
Students took a poll that asked whether or not they watch television in the evenings and whether or not they have homework on those same evenings. The two-way table below shows the results of the poll.
Homework No Homework Total
TV 6 12 18
No TV 9 3 12
Total 15 15 30
Calculate the relative frequency of the data to determine which association the two-way table suggests.
A.
Students who watch television in the evenings tend to have homework.
B.
None of the associations listed are correct.
C.
Students who watch television in the evenings tend not to have any homework.
D.
Students who do not watch television in the evenings tend not to have any homework.
Answer:
Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.
Step-by-step explanation:
Of the students who watch television, 33% have homework, and 67% do not have homework.
So, students who watch television in the evening tend not to have homework.
Of the students who do not watch television, 75% have homework, and 25% do not have homework.
So, students who do not watch television in the evenings tend to have homework.
I just had the question on Study Island!
Answer:
Students who watch television in the evenings tend not to have any homework.
Step-by-step explanation:
Have a good day :)
solve for the right triangle
Answer:
its a little blurry
Step-by-step explanation:
Need the answer asap !
Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.
the diameter of the clock= 30 cm
the radius of the clock= 15 cm
(a) the area of the clock is
[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]
(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.
The circumference of the clock is
[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
Step-by-step explanation:
Square is x meters on each side.
Area of square = x²
Width of rectangle = x+1
Length of rectangle = x+4
Area of rectangle = (x+1)(x+4) = x²+5x+4
Combined area = 2x²+5x+4 = 33
2x²+5x-29 = 0
x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4
Apply the distributive property to create an equivalent expression. 1/2 ( 10 x + 20 y + 10 z )=
Answer:
5x+10y+5z
Step-by-step explanation:
Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z
3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!
Answer:whats the question
Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)
Answer:
3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3
Step-by-step explanation:
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
translated 7 units right and 2 units up.
Answer:
where was the starting point?
if the starting point was the origin then the translated point is (7, 2)
Answer:
are you talking about a graph? If it's from (0,0) then (7,2)
Step-by-step explanation:
Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?
Answer:
Tom's weekly allowance is $16.
Step-by-step explanation:
With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:
$15-$7=$8
Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:
$8*2=$16
According to this,the answer is that Tom's weekly allowance is $16.
what attendance at a basketball game will produce about 125 containers to be recycled
Answer:
About 250 attendance
Step-by-step explanation:
Answer:
The attendance of 250
Step-by-step explanation:
You would see where the 125 containers is on the left is and then you would just go right from there until you hit a meeting point on the straight line which would be at 250
what is the gcf (greatest common factor) of 9/45
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
Someone help me please ASAP
Answer:
false, should be left instead
Step-by-step explanation:
negative numbers on the left of zero, positive on the right
Answer:
False
Step-by-step explanation:
Negative numbers are to the left of zero (0) on a number line.
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brainliest please
Without using a calculator, order the following numbers from least to greatest
10, Square root 78 ,9
Help pls !!!! Math is fun
Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Write an expression showing five less than the number A
Answer: A-5
Step-by-step explanation:
"A" the number and 5 which should be less than the number
You make the equation
A-5
20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS
Answer:
145?
Step-by-step explanation:
I would appreciate if you helped
Answer:
A -7
Step-by-step explanation:
the x intercept of a line means where it cross the x coordinate, which is -7
Answer:
a) -7
Step-by-step explanation:
(calculate the dots in the graph)
What are the answers to all the questions? Make sure to show your work and the check.
1. 34c = 68
Divide both sides by 34
C = 68/34
C = 2
2. D - 1/2 = 3/4
Add 1/2 to both sides
D = 3/4 + 1/2
D = 1 1/4
3. E + 52.5 = 81
Subtract 52.5 from both sides
E =81-52.5
E = 28.5
4. 18 = f/0.3
Multiply both sides by 0.3
F = 18 x 0.3
F = 5.4
What is the length of the missing leg?
Answer:
15 ft
Step-by-step explanation: