A small company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation
C = 20/3x + 50band the revenue R, in dollars, made by selling x items is given by the equation R = 10x . The break-even point is the point where the cost and revenue equations intersect.
Graph the cost and revenue equations on the xy-coordinate plane provided. Select the "Line" tool. Plot two points, then a line will connect the points.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The break-even point is on both curves. The y-intercept can be used for the other point in each case.
The break-even point is where cost and revenue are the same:
20/3x +50 = 10x
50 = 10/3x . . . . . . . . subtract 20/3x
15 = x . . . . . multiply by 3/10
r = c = 10(15) = 150 . . . . for x = 10
Two points you can use for graphing the lines are ...
cost: (0, 50) and (15, 150)
revenue: (0, 0) and (15, 150)
Related Questions
Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?
Answers
Answer:
25
Step-by-step explanation:
take C as what Cj has, and J what Jordan has.
Cj has $50 more than Jordan has, so:
C = 50 + J
Together they have $100, so:
C + J = 100
is a system of 2 equations with 2 unknown (C and J):
C - J = 50
C + J = 100
Adding both equations:
2C = 150 ⇒ C = 75
From second equation: J = 25
find the solution of these equations
x-9y=39
4x -9y=69
Answers
Answer:
use desmos and you'll find your answer
Step-by-step explanation:
Find values for x and y.
Answers
Answer:
B
Step-by-step explanation:
X=90 because p and q perpendicular and 41+2y = 90 so 2y = 49 y=24.5
PLEASE PLEASE PLEASE PLEASE HELPP!!what is The function f(x) = 4x – 8 reflected across the y-axis on a coordinate plane
Answers
(2,0) (0, -8)
An airplane takes off from point A in a straight line, as shown in the diagram. The distance from A to E is?
Answers
Answer:
11700
Step-by-step explanation:
plato
Answer:
11700
Step-by-step explanation:
Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answers
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
Please Help, this is math problems
Answers
Answer:
1/8 for the first one then 1/6 for the second one
Step-by-step explanation:
What’s the rate of change of y=5.75x-2.5(x-2)
Answers
Write the first step you would take to solve each equation.
2. -4x - 6= -10x
Answers
Answer:
x=1 (Ans)
Step-by-step explanation:
2..-4x-6=-10x
-4x+10x=6
6x=6
x=6 divided by 6
Therefore, x=1(Ans)
The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do I measure it the volume in this case?
As you can see, height is 9cm, length is 12, and width is 18 .
Answers
Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?
Answers
Answer:
Answer is 36,220
Step-by-step explanation:
Identify the range of the function shown in the graph.
10+
8
8
4
-10 -8 18
4
-B
-10
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Answer:
-10?
Step-by-step explanation:
What method can be used to prove the triangles are congruent?
Answers
The answer would be aas
Answer:
The answer to this question would be AAS (Angle-Angle-Side)
Step-by-step explanation:
The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.
I have a test I'm doing and it makes no sense. Here are some of the questions, and thx for the other answer.
-12 = p - 7
-7b = -35
-5/8w = -9
9/25 = p/125
-3a +4 = -14
Answers
I did the reciprocal of -5/8 which is -8/5 to both sides. Multiply -9 and -8/5 to get 72/5
A recent survey by the alumni of a major university indicated that the average salary of 10,000 of its 300,000 graduates was $125,000. What is the Population?
Answers
Answer:
The population is the total number of the universities graduates i.e [tex]N = 300,000[/tex]
Step-by-step explanation:
From the question we are told that
The number of students that are consider is n = 10,000
The total number of graduates is [tex]N = 300,000[/tex]
The mean is [tex]\= x = \$125 , 000[/tex]
Here the population is The total number of graduates with value [tex]N = 300,000[/tex], this is because a population is the pool from with a sample is drawn and in this case the pool is [tex]N = 300,000[/tex] while the sample with is drawn is n = 10,000
Find the slope of the line that passes through (9, 10) and (5, 19).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answers
Answer:
[tex]m=\frac{-9}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 10)
Point (5, 19)
Step 2: Find slope m
Substitute: [tex]m=\frac{19-10}{5-9}[/tex]Subtract: [tex]m=\frac{9}{-4}[/tex]Simplify: [tex]m=\frac{-9}{4}[/tex]5. Find the difference of 785 and 543
785+543
Answers
Step-by-step explanation:
785-543=242
difference means subtract
The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?
Answers
Answer:
25units²Step-by-step explanation:
Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;
A = L² where;
L is the one of the side length of the square.
Note that all the sides of a square are equal;
To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)
L = AB = √(x2-x1)²+(y2-y1)²
L = √(6-1)²+(-1-(-1))²
L = √5²+0²
L = √25
L = 5
Area of the square = 5²
Area of the square = 25units²
Hence the area of the square is 25units²
(-3.5)(-2) please help :)
Answers
Answer:
7 is the answer
Step-by-step explanation:
Find the GCF using any method:
24, 42, and 96
Answers
Answer:
6 is the GCF
Step-by-step explanation:
GCF (24, 42, and 96)
GCF = 6
24 / 6 = 4
42 / 6 = 7
96 / 6 = 16
The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTTT
Answers
Answer: 55%
1. 279 - 180 = 99
2. 99 divided by 180 = 0.55
3. 0.55 x 100 is 55.
55 is the percentage
0.62, 0.38, 0.35, 0.49, 0.1, 0.21, 0.54, 0.6, 0.51, 0.28 Least to Greatest *
Answers
Answer:
0.25
Step-by-step explanation:
Answer:
0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.
I am so confused, I am terrible at math.
Answers
Answer:
D
Step-by-step explanation: when both equations are graphed on the same graph the touch in one place which is (2,1)
Which expression is equivalent to 6(4v)?
Answers
Answer:
24v
Step-by-step explanation:
simply multiply perform the distributive property. so multiply 6 and 4 and you should get 24. after just add in the v.
pls mark brainlest
Your answer would in fact Be 24 the steps are super simple what may confuse you is the v it is quite confusing but v is basically a variable that signifies multiplication as it is together with the 4 but this here is an expression because it has nothing equal to it so we have no answer to define what the v is! Also a tip is whenever a number has parenthesis and a number is outside of the parentheses without any sign that signifies multiplication :)!! So as of now if your not learning how to find variable answers then you can basically pretend the v is not needed but have a nice day and I really hope this has helped you!! I have spent quite a while typing this so I hope this is all worth it!!
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answers
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!
Find the value of x so that the function has the given value.
m(x) = 4x + 15; m(x) = 7
x = ___
Can you also explain how you solved it please. I might have some other problems using the same format. Thank you!
Answers
Answer:
-2
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answers
Answer:
7)equilateral
8 and 9)scalene
10,11 and 12) isosceles
Step-by-step explanation:
Equilateral triangle has three equal angles and sides
scalene triangle has unequal angles and sides
isosceles has two equal angles and sides
Help Please!
5=(2m-b)/(m+b)
Answers
Answer:
m=−2b
b=−m/2
work: i just know
The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides
Answers
Answer:
8:4
Step-by-step explanation:
Given that,
The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16
We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.
Let sides are x₁ and x₂. So,
[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]
So, the required ratio is 8:4.
Enter an equation in point-slope form
The slope of the line is 2/5, and it contains the point: (−2, 7).
Answers
Answer:
y = 2/5x + 39/5
Step-by-step explanation:
point slope form is y = mx + b
so far we have y = 2/5x + b
m is slope which is given. We need to find b which is y-intercept.
They give us the point (-2,7). We can plug this into the equation to find b.
7 = 2/5(-2) + b
7 = -4/5 + b
b = 39/5
The equation now looks like y = 2/5x + 39/5