Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?
Answer:
in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
Step-by-step explanation:
Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.
For Creamy Vanilla go 2 eggs and 3 cups of cream
For Continental Mocha go 1 egg and 3 cups of cream.
Total number of eggs = 500 eggs
Total number of cream cups = 900 cups.
For the eggs;
2 eggs × x + 1 egg × y = 500
2x + y = 500 .......1
For the cream cups;
3 cups × x + 3 cups × y = 900
3x + 3y = 900
Dividing through by 3
x + y = 300 .......2
Solving the simultaneous equation;
Subtracting equation 2 from 1
(2x + y) - (x+y) = 500-300
2x -x = 200
x = 200
Substituting x = 200 into equation 2;
200 + y = 300
y = 300 - 200
y = 100
Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
In the year of disposition how is the depreciation deduction calculated for real rental property that has been depreciated using the mid-month convention?
Answer:
Step-by-step explanation:
The deductible amount will be controlled constantly in which the asset is arranged.
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
Find the volume pls
Answer:
V = 960 cm ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base
B = 1/2 bh since the base is the triangle
B = 1/2 *12*8 =48
V = 48 * 20
V = 960 cm ^3
Answer:
960 cm^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
This is a triangular prism, so the base is a triangle.
area of base of prism = area of triangle = bh/2
The base of the triangle is 12 cm. The height of the triangle is 8 cm.
The height of the prism is 20 cm.
volume = (12 cm)(8 cm)/2 * 20 cm
volume = 960 cm^3
It takes approximately 8 working days for an orderof number 6 screws to arrive once the order has beenplaced. (Refer to Problem 6-18.) The demand fornumber 6 screws is fairly constant, and on the aver-age, Lila has observed that her brother's hardwarestore sells 500 of these screws each day. Because thedemand is fairly constant, Lila believes that she canavoid stockouts completely if she only orders thenumber 6 screws at the correct time. What is theROP?
Answer:
Step-by-step explanation:
Given that:
The demand for number 6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.
So;
The demand for number 6 screws = 500 screws /day
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.
Delivery time-frame = 8 days
Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.
i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day
= 4000 screws
This implies that these 4000 screws will only last for 6 days.
Thus Lila ROP ( reorder point) will be to reorder for another set of screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.
In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:
This implies that these 4000 screws will only last for 6 days.
The exercise statement states that:
6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.With this information we can also say that:
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.Then, performing the calculation, we find:
[tex] 8 * 500 = 4000 screws[/tex]
See more about finances at brainly.com/question/10024737
PLEASE ANSWER THIS GEOMETRY QUESTION ASAP FOR ME PLEASE!!
Answer:
60°
Step-by-step explanation:
30° + 90° = 120°
180° - 120° = 60°
180 is the sum of interior angels
Find m∠V. Struggling in geometry! Help plz :/
Answer:
16 degrees
Step-by-step explanation:
74 + 90 = 164
180-164 = 16
Solve the equation 2x + 10 = 30
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
ANSWER A
Step-by-step explanation:
Answer:
it has a horizontal asymptote at y=O
Step-by-step explanation:
answer is A.
because A linear parent function is the equation y = x or f(x) = x.
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
?
Jim has 3 cats, 5 dogs, and 2 rabbits. Match each type of ratio to the
correct description of Jim's pets. Drag the items on the left to the
correct location on the right
part-to-part ratio
5 dogs to 10 per
whole-to-part ratio
3 cats to 5 dogs
part-to-whole ratio
10 pets to 2 rab
Answer:
The correct locations are;
Part to part ratio is 3 cats to 5 dogs
Whole to part ratio is 10 pets to 2 rabbits
Part to whole ratio is 5 dogs to 10 pets
Step-by-step explanation:
The given information are;
The number of cats Jim has = 3
The number of dogs Jim has = 5
The number of rabbit Jim has = 2
The total number of pets Jim has = 3 + 5 + 2 = 10 pets
Therefore;
The fraction of the pets that are cats = 3/10
The fraction of the pets that are dogs = 5/10
The fraction of the pets that are rabbits= 2/10
Therefore we have;
Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs
Whole to part ratio → 10 pets to 2 rabbits
Part to whole ratio → 5 dogs to 10 pets.
There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year
Answer:
50 years
Step-by-step explanation:
the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.
brainliest pls
solve for x. 5x+9=24
Answer: x=3
Step-by-step explanation:
5x+9 =24 subtract 9 from both sides
-9 -9
5x = 15 Divide both sides by 5
x = 3
Answer:
[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]
The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in 2014, what will it be in 2020?
Answer:
56,735 people
Step-by-step explanation:
We can set up an equation to model this:
The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.
We can plug in the corresponding values and solve:
y = 62500(1 - 0.016)^6
y = 62500(0.984)^6
y = (62500)(0.9077)
y = 56,734.94, which we can round to 56,735 people
I need help with this one I’m stuck on it.
Answer:4.5
Step-by-step explanation:
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4
In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
Geometry -true or false- After we prove that a theorem is true it becomes a definition
Answer:
False
Step-by-step explanation:
A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.
Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.
***#BRAINLIEST IF ANSWERED***
Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *
37°
53°
90°
97°
Answer:
90
Step-by-step explanation:
its a right angle
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
What is the product?
Answer: [-12, 3, 2, -2]
Step-by-step explanation:
Multiply each corresponding integer by each other.
4 * -3 = -12
3 * 1 = 3
-1 * -2 = 2
-1 * 2 = -2
Please answer quick!!
Answer:
mBC = 96°
mB = 55°
mC = 77°
mAB = 154°
Step-by-step explanation:
The angle mB inscribes the arc mAC, so we have:
[tex]mB = mAC / 2[/tex]
[tex]mB = 110 / 2 = 55\°[/tex]
The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:
[tex]mA + mB + mC = 180[/tex]
[tex]48 + 55 + mC = 180[/tex]
[tex]mC = 180 - 48 - 55[/tex]
[tex]mC = 77\°[/tex]
Using again the property of inscribed angles, we have:
[tex]mAB = 2*mC = 154\°[/tex]
[tex]mBC = 2*mA = 96\°[/tex]
In still water, a boat averages 18 miles per hour (mph). It takes the same amount of time to travel 33 miles downstream (with the current) as it takes to travel 21 miles upstream (against the current). What is the rate of the water's current
Answer:
The rate of the water current is 4mph
Step-by-step explanation:
Let c= the rate of the current in mph
18+c= the rate of the boat going downstream in mph
18-c= the rate of the boat going upstream in mph
t = time in hrs for both upstream and downstream trips
Going downstream:
33=(18+c)*t (1)
Going upstream
21=(18-c)*t (2)
From (1)
33=(18+c)*t
t=33/1(8+c)
Substitute t=33/(18+c) into (2)
21=(18-c)*t
21=(18-c)*33/(18+c)
Cross product
21(18+c)=33(18-c)
378+21c=594-33c
21c+33c=594-378
54c=216
Divide both sides by 54
54c/54=216/54
c=4
Therefore,
The rate of the water current is 4mph
What are the coordinates of the point that partitions AB according to the part-to-part ratio 4:3?
Answer:
(-1,0)
Step-by-step explanation:
Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P
The section formula is used here and the point we are having would be;
P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)
From the question;
m = 4 and n = 3
x1 = -5, y1 = -8
x2 = 2 , y2 = 6
Plugging these values in the equation above, we have;
P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)
P = (8-15)/7, (24-24)/7
= -7/7, 0/7
= (-1, 0)
The coordinates of point P is (-1,0)
In the diagram, ∠ADE ≅ ∠ABC. The ratios and are equal.
Answer:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
Step-by-step explanation:
According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same
. (as in the diagram)
So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
With the help of a diagram, we can better understand which has been attached.
The ratios AD : DB and AE : EC are equal.
Mary invests £12000 in a savings account.
The account pays 1.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
Step-by-step explanation:
We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.
So we should khow what is the value of this 1.5 percent interst .
12000£⇒100 percent
x ⇒ 1.5 percent
x= [tex]\frac{1.5*12000}{100}[/tex]=180 mary inested for 2 years so : 2x=2*180=360so the value after 2 years is : 12000+360=12360
please answer this.....
Answer:
Step-by-step explanation:
10)a) Let the number = x
4x + 8 = 16
Subtract 8 form both sides
4x + 8 - 8 = 16 - 8
4x = 8
Divide both sides by 4
4x/4 = 8/4
x = 2
The number is 2
b) Let the number = x
4x - 8 = 6
Add 8 to both sides
4x - 8 + 8 = 6 + 8
4x = 14
Divide both sides by 4
4x/4 = 14/4
x = 3.5
The number is 3.5
11) a) Increase in cost = 105 - 100 = $ 5
b) Percentage increase = [tex]\frac{5}{100}*100[/tex]
= 5%
12) Number of girls = 35
Number of girls wearing glasses = 15
Number of boys = 40
Number of boys wearing glasses = 10
a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]
= 25%
b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]
= 42.86%
c) Total children = 35 +40 = 75
Total children wearing glasses = 15 + 10 = 25
Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]
= 33.33%
3
4
5
The table represents a function.
What is f(-2)
f(x)
-3
3
-1
x
-6
-2
0
3
1
0 1
4
-2
3
Answer:
The answer is option D.3Step-by-step explanation:
From the table above f(-2) = 3
Hope this helps you
Please help me. 10 points
Simply t^12/t^6
Answer:
The answer is option B
Step-by-step explanation:
t^12/t^6
Use the rules of indices.
Since they have the same base and they are dividing we subtract the exponents.
That's
t^12 - 6
= t^6
Hope this helps you
Answer:
[tex] {t}^{6} [/tex]Option B is the right option.
Solution,
[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]
Explanation:
To divide expression with same base, we copy the base and subtract the indices.
Hope this helps...
Good luck on your assignment..