A 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=2.5x+21 and the revenue R, in dollars, made by selling x items is given by the equation R=6x. The break even point is the point where the cost and the revenue intersect. How many items must the company sell to break even?
Answers
Answer:
see the attachment
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)
9514 1404 393
Answer:
6
Step-by-step explanation:
Cost and revenue are equal when ...
C = R
2.5x +21 = 6x
21 = 3.5x . . . . . . subtract 2.5x
6 = x . . . . . . . . . .divide by 3.5
The company must sell 6 items to break even.
Related Questions
if the probability of arriving late to school is 4/8 what is the probability that the complement or opposite event occurrs?
(Answer in fraction form)
Answers
Step-by-step explanation:
probability of arriving late is 4/8
probability of arriving early is
1-4/8 =4/8
probability that opposite event occurs is 4/8
1490 thousand help me get that number because I can't find them
Answers
Answer:
1,490,000
Step-by-step explanation:
Answer:
1490000?
Step-by-step explanation:
Find the value of 14/8 + 15/12
Answers
Answer:
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
Step-by-step explanation:
Explanation
Given [tex]\frac{14}{8} + \frac{15}{12}[/tex]
L.C.M 8 , 12 is 24
[tex]\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}[/tex]
= [tex]\frac{42 +30}{24} = \frac{72}{24} = 3[/tex]
Final answer:-
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answers
Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount
The amount they earn is $200 each.
========================================================
Explanation:
Let's form the equation for the amount Amber earns.
She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.
Overall we can say her equation is y = 150+10x
This is the same as y = 10x+150
----------
Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x
y = 10x+150
25x+75 = 10x+150 .... replace y with 25x+75
25x+75-10x = 150 ... subtract 10x from both sides
15x+75 = 150
15x = 150-75 ... subtract 75 from both sides
15x = 75
x = 75/15 .... divide both sides by 15
x = 5
If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.
That amount earned is
Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars
Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars
Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.
3/8 × 4/11 =
three eighths times four elevenths
Answers
Answer:
12/88, which is 3/22 in simplest form.
Answer:
12/88 Simplified:3/22
Step-by-step explanation:
you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify
Hope that helps:)
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answers
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
https://brainly.com/question/778086
#SPJ2
The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)
Answers
Answer:
It would be equal to 15 - (18)
Answer:
it would actually be (B)
Susan is a poet . She purchased her materials for $50 and sells her poems for $17 each. She wants to buy a new easel board for $215. How many poems must she sell in order to afford the new easel? Write inequalities for the context
Answers
But if we dont take into account that she paid $50 beforehand then 215/17=12,6 so she has to sell 13 poems. Hope it helps
help please what type of angle is this, and what is x?
Answers
Answer:
50 Pick me brainliest
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°
Subtract 2x from each side.
x=50
fill in the boxes to show two ways you can find 8+6
Answers
Answer:
(4+3) + (4+3) and (7-1) + (9-1)
Step-by-step explanation:
You can always break it down in half to make it easier.
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!
Is 5 + 3(1 - x) equivalent to 8 - 8x? EXPLAIN and show your work.
Answers
The graph below shows the solution to which system of inequalities?
Answers
XLiV represents 64 true ya false
Answers
Answer:
False
Step-by-step explanation:
Given
[tex]XLIV = 64[/tex]
Required
True or False
The above numeral can be split as follows:
[tex]XLIV = XL + IV[/tex]
X means 10 and L means 50.
But because X (10) which is smaller comes before L (50), XL is executed as:
[tex]XL = -10 + 50[/tex]
[tex]XL = 40[/tex]
In Roman numerals;
[tex]IV = 4[/tex]
Substitute 40 for XL and 4 for IV.
[tex]XLIV = 40 + 4[/tex]
[tex]XLIV = 44[/tex]
Hence;
[tex]XLIV = 64[/tex] is false
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answers
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
Answers
Answer:
1/12 lb
Step-by-step explanation:
2/3 x 1/8 = 2/24 = 1/12
Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.
Hope this helps!
PLZZ HELPP ILL GIVE BRAINLIST
Answers
m
Select the correct answer.
1
6
1)2
12
Which expression is equivalent to 12
12 + I
I - 6
61 + 5 if no denominator equals zero?
I
2
1
1
O A.
H
B.
12 — 31 + 2
12 91 + 20
12 + I 2
12 1- 20
12 31 + 2
12
20
12 + 31 + 2
12 + 1 - 20
C.
D
--
D.
Reset
Next
Answers
I need help, pls !!!
Answers
Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]Add: [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{25+100}[/tex]Add: [tex]\displaystyle d = \sqrt{125}[/tex]Simplify: [tex]\displaystyle d = 5\sqrt{5}[/tex]Evaluate: [tex]\displaystyle d = 11.1803[/tex]Round: [tex]\displaystyle d = 11.2[/tex]Write 2 min : 1.5 min as a fraction
Answers
Step-by-step explanation:2=120 1.5=90
[tex]therefore =3/4[/tex]
Solve for k, please!
2(k − 5) = 12
Answers
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
plz solve for brainlyest
Answers
True
True
False
True
15% of $12.00 is $1.80
Answer:
1.80
Step-by-step explanation:
Evaluate the expression you got in part d for b = 8.
Answers
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
eheh
H/7 =27 can some one answer this pls
Answers
Answer:
h=189
Step-by-step explanation:
solve for H by simplifying both sides of the equation, then isolating the variable.
hope this helped
There are 4 circles and 1 triangle what is the simplest ratio
Answers
Answer: 1:1 or 2:1
Step-by-step explanation:
3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3
Answers
Answer:
2:3
Step-by-step explanation:
5 in total as you subtract the dudes
your own words describe the motion of the object shown in the graph be sure to include time travaled distance travald and velocity
Answers
Answer:
Step-by-step explanation:
9854
1.8 divide by 0.72 explain
Answers
Answer:
0.40
Step-by-step explanation:
Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
7.2 ÷ 18 = 0.40
and therefore:
0.72 ÷ 1.8 = 0.40
Both calculated to 2 decimal places.
I don't understand can someone help me PLZ
Answers
Answer:
1/2
Step-by-step explanation:
the circle has 8 pieces so that's how you get the denominator
you count how many A's there are and that is your numerator
so now 4/8 and reduce to get a half
It rains a lot in Longview. On three days it rained 0.4 inches, 0.68 inches, and 1.6 inches. What was the total rainfall for those three days? Explain your answer.
Answers
Answer: 2.68
Step-by-step explanation: 0.4 + 0.68 + 1.6
The areas of two similar triangles are 18cm^2 and 8cm^2. One of the sides of the first triangle is 4.5cm. What is the length of the corresponding side of the other triangle? Please answer ASAP!!! Thank you!!!
Answers
Answer:
3 cmStep-by-step explanation:
The area is the product of two dimensions, therefore the scale factor is:
A/A' = (b*r*h*r)/(b*h) = r²r² = 18/8r = √9/4 = 3/2 = 1.5The length of the corresponding side will be:
a/a' = ra' = a/ra' = 4.5 / 1.5 a' = 3 cm