Answer:
a) Economic order or production quantity = 2,500 tires.
Number of production runs in a year = 50 runs
Hence, 2,500 tires should be produced in each of the 50 runs in a year to minimize total cost.
b) Minimum total inventory cost = Tsh 30,000
Step-by-step explanation:
The total cost for the tire production firm will be a sum of the total production cost and total inventory cost.
Total cost = Total Production cost + Total inventory cost
Total Production Cost = (Number of production runs in a year) × (Setup Cost of one production run)
Number of production runs in a year = (Annual demand)/(Number of units produced per production run)
Let the annual demand = D
Number of units produced per production run = Q
Setup Cost of one production run = S
Number of production runs in a year = (D/Q)
Total Production Cost = (DS/Q)
Total inventory Cost = (Average inventory level) × (Cost of holding 1 unit in inventory)
Average inventory level is usually assumed to be half of the number of units in a production run = (Q/2)
Cost of Holding a unit of product in inventory = H
Total inventory Cost = (QH/2)
Total cost = TC = (DS/Q) + (QH/2)
At minimum cost, (dTC/dQ) = 0
(dTC/dQ) = -(DS/Q²) + (H/2) = 0
(DS/Q²) = (H/2)
Q² = (2DS/H)
Hence,
Economic order/production quantity = Q = √(2DS/H)
For this question
D = Annual demand = 125,000 tires
S = Setup cost for one production run = Tsh 600
H = Holding cost for one unit in inventory = Tsh 24
Q = √(2×125000×600/24) = 2,500 units
Number of production runs in a year = (D/Q) = (125000/2500) = 50 production runs.
b) Total Inventory Cost = (QH/2)
At minimum total inventory cost, Q = 2,500
Minimum total inventory cost = (2500×24/2) = Tsh 30,000
Hope this Helps!!!
Can someone help me with this question please.
The correct answer is 3780 bolts
Explanation:
In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:
500 nuts (a) = 1 hour (b)
750 nuts (c) = x (time spent to make 750 nuts)
x = 750 x 1 / 500
x = 1.5
Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.
According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).
si 3x-y es igual a 12 ¿cual es el valor de 8x/2y?
Responder:
4/y + 1/3
Explicación paso a paso:
Dado que:
3x - y = 12
3x = 12 + y
Divide ambos lados entre 3
x = 4 + y / 3 - - - (1)
Valor de 8x / 2y
8x / 2y = 4x / y
4x / a - - - (2)
Sustituye x = 4 + y / 3 en (2)
4 (4 + y / 3) ÷ y
(16 + 4g / 3) / y
16 / y + (4y / 3 ÷ y)
16 / y + (4y / 3 × 1 /y)
16 /y + 4/3
Dividiendo a través de 4
(16 /y) * 1/4 + (4/3) * (1/4)
(4 /y + 1/3)
how do i find x and y?
Answer:
y=65
x=50
Step-by-step explanation:
exterior angle of a triamgle is equal to sum of two interior angles
so
2y=130(as it is isosceles triangle)
y=65
we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)
therefore, x=50
Answer:
x=50°
y=65°
Step-by-step explanation:
I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand
Let's take the point of intersection as O
Since It is a straight line(on both sides of O)=180°
Therefore x=180°-130°=50°
In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal
When the two sides of a triangle are equal, The base angles are always equal
Second triangle is 180°
The top angle is 50°
the base angles (which y and the angle below it)
is equal to 180°-50°=130°
Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°
MULTIPLY: 4(6-2d) PLEASE HELP!!!!! ASAP!!!!
Answer:
24-8d
Step-by-step explanation:
4✖️6=24
4✖️(-2d)=-8d
=24-8d
Hope this helps, BRAINLIEST would help me:)
Answer:
-8d + 24.
Step-by-step explanation:
4(6 - 2d)
= 4 * 6 - 4 * 2d
= 24 - 8d
= -8d + 24
Hope this helps!
PLEASE ANSWER ASAP For the equation y=2x2-16x+30 Identify the vertex and convert into vertex form. STEP BY STEP PLEASE EXPLAIN HOW TO GET THE VERTEX
Answer:
Step-by-step explanation:
To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.
First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:
[tex]2x^2-16x=-30[/tex]
Next, the rule is that the leading coefficient has to be a positive 1. Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:
[tex]2(x^2-8x)=-30[/tex]
Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:
[tex]2(x^2-8x+16)[/tex]
That's the left side. Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:
[tex]2(x^2-8x+16)=-30+32[/tex]
Completing the square allows us to create a perfect square binomial on the left which is in the form (x - )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:
[tex]2(x-4)^2=2[/tex]
Last step is to move the constant back over and set the quadratic back equal to y:
[tex]y=2(x-4)^2-2[/tex]
From here the vertex is apparent. It is (4, -2).
In which function is x = 2 mapped to 32?
=-3x²-4
g(x) = 4(x+3)2 - 68
Oh(x) = 3x
(x) = 2x-62
Answer:
the second one, you see:
first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]
[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]
Help me plz figure this out.
Answer:
B
Step-by-step explanation:
YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.
Brittany's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite
measures 70°, how high is the kite above Brittany's head?
Answer:
61.1 m is the correct answer.
Step-by-step explanation:
Given that
Brittany's kite has a string length = 65 m
Angle of elevation of kite = [tex]70^\circ[/tex]
A right angled triangle can be constructed for the given situation.
Please refer to the attached figure.
[tex]\triangle BFK[/tex] in which B is the position of Brittany.
K is the position of kite and
F is the point of field above which the kite is flying.
Given that the side BK = 65m
[tex]\angle B = 70^\circ[/tex]
To find, side FK = ?
We can use sine trigonometric identity to find the value of FK.
We know that :
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]
Hence, the answer is 61.1 m.
Question 16 of 25
2 Points
An acute angle's measure is:
A. between 90° and 180°.
B. between 0° and 90°.
C. exactly 90°
SUBMIT
Answer:
An acute angle is greater than 0 and less than 90
Step-by-step explanation:
An acute angle is greater than 0 and less than 90
A right angle is 90 degrees
An obtuse angle is greater than 90 and less than 180
Answer:
Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.
Step-by-step explanation:
When you use your debit card to get cash you have: A:Deposited money in your checking account. B:Withdrawn money from your checking account. C:Added to your checking balance. D:Reconciled your checking account.
Answer:
B.
Step-by-step explanation:
When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.
There were 7 sheets of paper. Some of them were cut into three parts. Then, in total there were 13 pieces of paper. How many sheets of paper were cut?
Answer:
13
Step-by-step explanation:
The number of sheets of paper that were cut is 2 sheets
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of sheets of paper = 7 sheets
The number of pieces they were cut = 3 pieces
The new total number of sheets of paper = 13 sheets
So ,
The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper
The difference in sheets of paper = 13 - 7
= 6 sheets
Now , each paper is cut into 3 extra sheets
So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut
The number of papers cut = 6 / 3
= 2 sheets of paper
Hence , the number of sheets of paper that were cut is 2 sheets
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Confusing again ?!?!?!?! Please help I have 5 mins
Answer:
B.
Step-by-step explanation:
Hope it was Right.
Answer: the answer is c
i will give BRAINLIEST! please explain!
Answer:
51.33
Step-by-step explanation:
to get that, we must subtract area of segment DQE (its look like a slice of pizza) by the triangle DQE
so first, we find the area of segment DQE
Area of DQE = (58/360) * Area of whole circle
A.DQE = 58/360 * πr²
A.DQE = (58 * 3.14 * 25²)/360 = 316.34
save it then we do the second step to find the area of triangle DQE. Triangle DQE is isosceles triangle with ∠DQE = 58,
area of triangle = ½ * base * height * sin ∅
∆DEQ = ½ * DQ * EQ * sin 58°
∆DEQ = ½ * 25 * 25 * 0.848
So Area of ∆DEQ = 265.02
then finally we can find the area of segment the problem said
A.DQE - ∆DEQ = 316.34 - 265.02= 51.32 (near 51.33)
I can type 4 words per minute. How long will it take me to write
an 500 words essay
Answer:
125 min
Step-by-step explanation:
given :
4 words -----> takes 1 min
1 word --------> takes 1/4 min
500 words ------> takes (1/4) x 500 = 125 min
Answer:
It will take 125 minutes
Step-by-step explanation:
Because 500/4 = 125
The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and CD ;A F and EF ;CB and CD
Answer:
B and E
aka
E-F and E-D
C-B and C-D
Step-by-step explanation:
By the symmetry of the circle, we can see that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.What are congruent line segments?
Two segments are congruent when the segments have the same measure.
Here, we can use the symmetry of the circle to break the triangle into two equal parts.
We could see that segment EB cuts the triangle into two equal halves, then we will have that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.These are the congruent segments.
If you want to learn more about segments, you can read:
https://brainly.com/question/14366932
8x= -14 Give your answer as an improper fraction in its simplest form. please help its due now! AWARD = BRAINLIEST!!!
Answer:
x= -7/4
Step-by-step explanation:
8x= -14
Divide both sides by 8
8x/8 = -14/8
Simplify
x= -7/4
Answer:
x=-7/4 is an improper fraction
Step-by-step explanation:
8x=-14
dividing 8 on both sides
x=-14/8
cancelling by 2
x=-7/4
i hope this will help you :)
Four times the sum of twice a number and 6 is -8. Find the number.
Hey there! :)
Answer:
x = -4.
Step-by-step explanation:
We can write an algebraic equation to express this situation.
Let 'x' represent a number:
4(2x + 6) = -8.
Begin by dividing both sides by 4:
2x + 6 = -2
Subtract 6 from both sides:
2x + 6 - 6 = -2 - 6
2x = -8
Divide 2 from both sides:
2x/2 = -8/2
x = -4.
Answer : -4
Step-by-step explanation:
Let the no. be x
4(2x+6) = -8
8x+24 = -8
8x = -8 - 24
8x = -32
x= -32 / 8
x= -4
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada's Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Answer:
C = 600 + 50s
Step-by-step explanation:
Let s be the number of students that go on the trip.
Let C be the cost.
The bus costs $600 and the entry fee (for each student) costs $50.
The cost for the trip will be the sum of the cost of the bus and the ticket for every student that goes on the trip.
This implies that the total cost for the trip will be:
C = 600 + 50(s)
C = 600 + 50s
Hey loves!!! plz help!!!
Answer:
k Nishant
Step-by-step explanation:
there is no comman angle but their is common side that is AC
Q1. Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring: (3) (ii) The perimeter of Ring:
Answer:
i) Area of the ring = 462cm²
ii) Perimeter of the ring = 132cm
A complete question related to this found at brainly (ID: 19152996) is stated below:
Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring
Find attached the diagram.
Step-by-step explanation:
a= smaller radius = 7cm
b= bigger radius = 14cm
i) Area of the ring = Area of larger circle - Area of smaller circle
Area of circle = Area of a ring = πr²
π =22/7
Area of larger circle = (22/7)(14)² = 22×28
Area of larger circle = 616cm²
Area of smaller circle = (22/7)(7)² = 22×7
Area of smaller circle = 154cm²
Area of the ring = 616 - 154 = 462cm²
ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle
Perimeter of circle = 2πr
When r = 7cm and π = 22/7
Perimeter of smaller circle = 2×(22/7)×7 = 2×22
Perimeter of smaller circle = 44cm
When r = 14cm and π = 22/7
Perimeter of larger circle = 2×(22/7)×14 = 4×22
Perimeter of larger circle = 88cm
Perimeter of ring = 88+44 = 132cm
Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?
A line is perpendicular to y = {2/3x + 2/3}
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = - x + [?]
Answer: y = (-3x/2) + 1
Step-by-step explanation:
From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.
Hence the equation will be
y = (-3x/2) + c
As this line passes through (-2,4), putting these values in this equation gives c = 1.
Hence the answer is y = (-3x/2) + 1
If (x) = 5x, what is f-1(x)?
Answer: f⁻¹(x)=x/5
Step-by-step explanation:
To find the inverse function, you replace the y with x, and x with y.
x=5y
y=x/5
f⁻¹(x)=x/5
Which graph passes through the point (-5,-6) and has a slope of 2/3 (two over three)
Answer:
Answer A
Step-by-step explanation:
Firstly, you can eliminate the last two choices because they don't go through the point (-5, -6). For slope, use your [tex]\frac{rise}{run}[/tex]. Go up 2 and go left 3, and you'll see that the 1st graph matches this pattern.
Multiply. 4.9 0.3 plz i need epain how to do it
Answer:
1.47
Step-by-step explanation:
Use the multiplication method.
Answer:
Hello!
_______________________-
4.9 x 0.3 = 1.47
Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.
Hope this helped you!
Can someone please help me I really need help please help me thank you
Answer:
The initial value of the computer
Explanation:
The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6 ?
y= -3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6
Answer:
y = 4/3x - 8
Step-by-step explanation:
slope of given line is -3/4 so the perpendicular slope is 4/3
line goes through (6, 0)
y = mx + b
0 = 4/3(6) + b
-8 = b
y = 4/3x - 8
Please answer ASAP! (No explanation required!) <3
Answer:
a) 9 squares long
b) 18
Step-by-step explanation:
please help me for the brainliest answer
Answer:
1.17
Step-by-step explanation:
1 £ = 1.25 dollars
1 Euro = 1.07 dollars
=> 1 £ = (1.25/1.07) Euros = 1.17 Euros
Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only want the answer, i also want to understand it too
Answer:
[tex]\boxed{ x = 12}[/tex]
Step-by-step explanation:
Given Equation is:
[tex]\frac{-3}{2} (x) - 9 = -27[/tex]
Adding 9 to both sides
=> [tex]\frac{-3x}{2} = -27+9[/tex]
=> [tex]\frac{-3x}{2} = -18[/tex]
Multiplying 2 to both sides
=> -3x = -18 * 2
=> -3x = -36
Dividing both sides by -3
=> x = 12