Given:
Fixed cost = $300
Variable cost = $75 on each supply
Revenue = $125 on each horse.
To find:
The number of horses for break even.
Solution:
Let x be the number of horses.
The fixed cost is $300 and the variable cost is $75 on each supply. So, the cost function is:
[tex]C(x)=300+75x[/tex]
The revenue from each horse is $125. So, the revenue function is:
[tex]R(x)=125x[/tex]
On break even, the revenue and cost are equal.
[tex]R(x)=C(x)[/tex]
[tex]125x=300+75x[/tex]
[tex]125x-75x=300[/tex]
[tex]50x=300[/tex]
Divide both sides by 50.
[tex]x=\dfrac{300}{50}[/tex]
[tex]x=6[/tex]
The number of horses for break even is 6.
Therefore, the correct option is D.
Answer:
6
Step-by-step explanation:
A bag contains 26 letters and 10 numerals. Robin draws two cards from the
bag. What is the probability that she draws 2 numerals?
Answer:
10C2 / (36C2)
Step-by-step explanation:
Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?
Answer:
16
Step-by-step explanation:
Jen's class: 10 girls, 15 boys
ratio of girls to boys = 10:15 = 2:3 = 2x:3x
Ed's class
number of boys = 24
ratio of girls to boys = 2x:3x
3x = 24
x = 8
2x = 2(8) = 16
Answer: 16
Answer:
16
Step-by-step explanation:
20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work
help..................
Answer:
1. 6084
2. 9261
3. -1
4. 995/364
5. -1/625
Step-by-step explanation:
Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which would not result in the elimination of the variables in this system? Multiply the first equation by 8 and the second equation by 2. O Multiply the first equation by 7 and the second equation by 3. O Multiply the first equation by 4 and the second equation by -1. o Multiply the first equation by 14 and the second equation by 6.
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
please complete the table.
Answer:
my answer in this picture.......
consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.
Answer:
its A or C
Step-by-step explanation:
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
The manned is a powerful force in a free market and 3 to 4 cents and fling some of the factors that cause changes in demand and why it is important for consumer standards and the changes
Answer:
The description as per the given question is provided below.
Step-by-step explanation:
Demand reflects a shareholder's intent to attract consumers as well as works as a gauge of such a buyer's ability to collect a particular preference for a particular commodity.
The factors that change the demand are as follows:
User needs as well as requirements.Changes affecting associated commodity prices.Peoples' political revenues.The general economy's proportion of participants.Please help me solve this
Answer:
5890 (none of the above)
Step-by-step explanation:
Answer:
1472.6 in³
Step-by-step explanation:
The volume (V) of the oblique cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )
Here r = 15 ÷ 2 = 7.5 and h = 25 , then
V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25
= [tex]\frac{1}{3}[/tex] × π × 56.25 × 25
= [tex]\frac{1}{3}[/tex] × π × 1406.25
= [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )
Are the following triangles similar, Explain your answer
what are the steps to this?
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.
Answer:
The dependent variable is h and the independent variable is t
Step-by-step explanation:
Given
[tex]h(t) = 4t + 5[/tex]
Required
The dependent and the independent variable
The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.
In the above equation, the height (h) depends on time (t) for its value
Hence,
The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t
Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral
Answer:
Right angle triangle
Acute
Step-by-step explanation
1 right angle/90 degrees
2 acute angles
jsfghsjgehgeujvnegeuge
Answer:
Option 2: 67.014
Step-by-step explanation:
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Step-by-step explanation:
everything can be found in the picture
please help…………..i have more to ask
Answer:
YES
Step-by-step explanation:
Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
✔️Distance between A(-4, 2) and B(1, 4):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-4, 2) = (x_1, y_1) [/tex]
[tex] B(1, 4) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]
[tex] AB = \sqrt{25 + 4} [/tex]
[tex] AB = \sqrt{29} [/tex]
✔️Distance between C(2, -1) and D(4, 4):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(2, -1) = (x_1, y_1) [/tex]
[tex] D(4, 4) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]
[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]
[tex] CD = \sqrt{4 + 25} [/tex]
[tex] CD = \sqrt{29} [/tex]
AB = CD = √29
Therefore, they both have the same length.
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer: x= -7/8
Step-by-step explanation:
Hope it helps you
EG is the angle bisector of
Answer:
the remaining angle will be 32
cz angle bisector cuts an angle in two equal parts hooe it may help u
What is 2.3(x – 2) = 15
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2.3(x - 2) = 15}[/tex]
[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]
[tex]\mathsf{2.3x - 4.6 = 15}[/tex]
[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]
[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]
[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]
[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]
[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]
[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]
[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]
[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]
[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]
[tex]\boxed{\bf {x = 8.521739}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:) }[/tex]
I need help with this plz
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
7/9 × 27/5 whats the answer?
Answer:
21/5 when simplified
Answer:
4 1/5
Step-by-step explanation: 6 20 5 58
7/9 × 27/5 = (7×27) / (9 × 5)
= 189 / 45 divide numerator and denominator by 3
= 63 / 15 simplify
= 4 3/15
= 4 1/5
help asap ---------------------------
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
please helpppp its due nowwwww
Answer:
Step-by-step explanation:
instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.
Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
Which is a valid conclusion that can be drawn from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
A. Opposite angles of a rhombus are congruent.
B.Opposite angles of a quadrilateral are congruent.
C. Every parallelogram is a rhombus.
D. Every quadrilateral is a rhombus.
Answer:
A. Opposite angles of a rhombus are congruent.
Step-by-step explanation:
PLEASEEE HELPPPPPPP!!!!!!! question is above
AB=5
Step-by-step explanation:
x^2 - 10=3x
x^2 -3x -10=0
x^2 +2x-5x-10=0
x(x+2) -5(x+2) =0
(x-5) (x+2) =0
x-5=0. x+2=0
x=5. x=-2
AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons
Answer:
x = 79°
Step-by-step explanation:
∠ABE = ∠BEF = 41° [Alternate angle ]
Now sum of angles of a triangle = 180°
Therefore,
∠EBF + ∠BEF + ∠BFE = 180°
60° + 41° + x = 180°
x = 180° - 60° - 41°
x = 79°
Create a linear system to model this situation. Then use substitution to solve the linear system to solve
the problem:
Bobbie has been saving dimes and quarters to buy a new toy. She has a total of 45 dimes and quarters,
with a value of $7.05. How many of each type of coin does Bobbie have?
Answer:
dimes --- x
quarters ---- 28-x
10x + 25(28-x) = 430
Step-by-step explanation:
not sure po
X=
4
7
9
Does anyone know this please help quick !
Answer:
9
Step-by-step explanation:
Intersecting Chords Formula:
a • b = c • d
where a and b are the segments on one chord and c and d are the segments on the other chord
3*6 = 2*x
18 = 2x
Divide by 2
18/2 =2x/2
9 =x
A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.
What length would the wire be for a similar 20 by 20cm sqaure
Answer:
840 cm
Step-by-step explanation:
Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.
Therefore wire required in 3 x 3 grid is
3(3+1) + 3(3+1)
= 3 × 4 + 3 × 4
= 24 I'm
Similarly, the length of the wire required in 20 by 20 grid will be
=> 20(20+1) + 20(20+1)
=> 20 × 21 + 20 × 21
=> 420 + 420
= 840cm