A company's flexible budget for 12,500 units of production showed sales, $50,000; variable costs, $20,000; and fixed costs, $15,000. The operating income expected if the company produces and sells 15,000 units is:
Answer: $21000
Step-by-step explanation:
First, we calculate the contribution margin which will be:
=Sales - Variable cost
= $50,000 - $20,000
= $30,000
Therefore, the contribution margin per unit will then be:
= $30,000 / 12500
= $2.4 per unit
The operating income will be the difference between the total contribution margin and the fixed cost. This will be:
The total Contribution margin will be:
= $2.4 × 15000
= $36000
Fixed costs = $15000
Operating income = $36000 - $15000
= $21,000
if y° and 75° are the opposite angles of rhombus, then y°=.....
Answer:
if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
I don’t know how to do this, please explain :(
Answer:
1. Adjacent and formed a linear pair
2. Adjacent and formed a linear pair
3. Adjacent
4. Not adjacent
Step-by-step explanation:
In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.
Please answer question attatched thanks :)
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
PLS GRAPH THE EQUATION!!
Answer:
Step-by-step explanation:
I need help asap
PLEASE HELP
Answer:
f(2) = -3
f(0) = -5
f(-1) = -6
f(1) = -4
f(8) = 3
f(5) = 0
Step-by-step explanation:
us the f value and substitute for x.
1) f(1)= 1 - 5 = -4
2) f(-1) = -1 -5 = -6
3) f(2) = 2 - 5 = -3
4) f(0) = 0 - 5 = -5
5) f(5) = 5 - 5 = 0
6) f(8) = 8 - 5 = 3
then match the f value with the correct answer
Help!!! Please!!! Very much appreciated
Answer:
-0.2
Step-by-step explanation:
Gradient/slope = [tex]\frac{7-5}{15-25} = \frac{2}{-10} = -0.2[/tex]
D
Y2 - Y1 / X2 - X1
7-5 =2 / 15-25 =-10
2/-10 =-0.2
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
in an exam 90% students passed if the 15 student fail find the number of students appeared in the examination
Answer:
150
Step-by-step explanation:
15 fail
90 percent pass
15=10 percent
135=90 percent
150
Step-by-step explanation:
90%passed
100%-90%=10% failed
10%=15 students
100%=x students
USE CROSS METHOD10x=1500
x=1500/10
x=150 number of students appeared in the exam.
Find x.
Do not round your answer.
12 cm
6 cm
Answer: 16.6
Step-by-step explanation:
b(a+b)= d(c+d)
6(12+6)=5(x+5)
6(18)=5x+25
108=5x=25
-25
83=5x
divided by 5
Equals 16.6
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50m
square units. Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.
Answer:
The volume of the sqaure prism is eqaul to the volume of the cylinder.
Answer: B
Step-by-step explanation:
Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)
Answer:
the answer is 7(4 +6)
Step-by-step explanation:
24 + 42
7(4 + 6)
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
Here is the graph of an exponential function corresponding to a geometric
sequence,
WILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
i took the test
Use the series below to answer the following questions.
Answer:
a1=4, r=5, n=6
Step-by-step explanation:
got it correct on edge
b= first option
c= 15,624
Answer:
a1=4, r=5, n=6
b= first option
c= 15,624
Step-by-step explanation:
It is right on edge
LCM of 4, 6, 10, and 12
Answer:
360 is the LCM of 4,6,10 and 12
for brainiest:):):):):):):):)
Answer:
A. No
B. No
C. Yes
Step-by-step explanation:
A and B are either below or above 180 degrees when all angles degrees are added together
C is exactly 180 degrees when all angles degrees are added together
Answer:
A. No
B. No
C. Yes
Step-by-step explanation:
A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.
100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)
40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).
B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to 180°.
20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)
20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)
C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.
50 + 60 + 70 = 180°.
60 + 70 = 130 (130 IS GREATER THAN 50).
70 + 50 = 120 (120 IS GREATER THAN 60).
Find the upper bound for the following length:
A) 18.7cm correct to 1 decimal place.
B) 58.37cm correct to 2 decimal places.
Please help.
Part A
Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"
Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8
So this means that the largest we can measure is 18.74 and it is the upper bound we're after.
Answer: 18.74 cm=========================================================
Part B
We use the same idea as part A, but now we're extending out one more decimal place.
We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374
By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm
Answer: 58.374 cm50 POINTS PLS HELP
Choose all the formulas that correctly represent the arithmetic sequence 101, 114, 127, .... Select the two correct answers.(1 point)
an=101+13n
an=13+101(n−1)
an+1=an+13, a1=101
an=101+13(n−1)
an+1=an+101, a1=13
Answer:
an=101+13(n−1)
an+1=an+13, a1=101
HELP!!!
A ratio is a comparison between two quantities with different kinds of units. True Or False
Answer:
False
Step-by-step explanation:
A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.
someone help me i don’t understand this !
Answer: put it in the calculator with the () and they will give it to you right like you need it
Step-by-step explanation: :)
Answer:
I help you
Step-by-step explanation:
I help you _GUTI_ discord
i need help asap please
Answer:
1. 1570
2. can't see properly
3. can't see properly
4. 392.5
5. 615.4
6. 6049
7. not clear can't see
8. 1589
9.:1570
Factor the following: 25x^2 + 30x = 0
Answer:
= 0
= − 6 /5
Step-by-step explanation:
You can use the quadratic formula or just factor it.
Find the Common factor
rewrite in factored form
Create separate equations
then solve
Answer
5x(5x+6)=0
Step-by-step explanation:
Factor 5x out of 25x^2+30x
A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
77 m
Step-by-step explanation:
The 2 situations are similar , so the ratios of corresponding sides are equal.
let h be the height of the tower, then
[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )
1.77h = 137.025 ( divide both sides by 1.77 )
h ≈ 77 m ( to the nearest metre )
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
4:1
Step-by-step explanation:
unsimplified version : 12 to 3
12 and 3 both have a common common factor ( which would be 3 )
This means that we can divide the current ratio to get a simpler ratio
12/3=4
3/3=1
The new simplified ratio would be 4:1
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3900 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $3900 did ticket sales fall?
yeah
Answer:
$137.00
Step-by-step explanation:
add all the money then add the 600 to the money u get.
Hi how do I do this ❤️
Answer:
51
Step-by-step explanation:
