Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
If angle obc=90, angle boc =35 what is the measure of angle bco??? Help this is due today!!
Answer:
∠BCO = 55°
Step-by-step explanation:
The sum of all the angles in a triangle is always 180°, so we need to subtract 90° and 35° from 180° to get ∠BCO.
180° - 90° - 35° = 55°
A rectangular prism has a length of 1 yards, a width of 2) yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answer:
8
Step-by-step explanation:
2*1*4=8
The ratio of nonfiction books to total books on Caleb's bookshelf is 7:10. What does this mean?
A:Caleb has seven nonfiction books and 10 fiction books on his bookshelf.
B:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
C:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
D:Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Answer:
D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Step-by-step explanation:
When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.
Solve the triangle, round answers to the nearest tenth.
Step-by-step explanation:
to get DE nd also EF u can use the cosine rule since two angles and a side has been given
and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180
have another one that I need done ASAP please and thank u!!!
Answer:
1/3
Step-by-step explanation:
(-6,0) (-3,1)
1-0/ -3 - -6 = 1/3
What is the product of 7 radical 3 and 9 radical 15 in simplest radical form?
Keke is that bit.ch and you know i'm with the shi. and i will beat the hell out of you so get the fu.ck out my face
Decide weather Triangle ABC and triangle DEF are similar, not similar, or cannot be determined from the given information
Answer: The triangles are not similar
=====================================================
Explanation:
Let's focus on triangle ABC. The given angles are
A = 57B = 92Now let's find angle C
A+B+C = 180 .... all angles of a triangle add to 180
57+92+C = 180
149+C = 180
C = 180-149
C = 31
We'll use the same idea to find the missing angle in triangle DEF
D+E+F = 180
D+92+41 = 180
D+133 = 180
D = 180-133
D = 47
--------------------
To summarize the angle measures we found were:
C = 31D = 47Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.
If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.
Determine if the two triangles are congruent. If they are state the condition
Answer:
They are congruent, SAS, hope am right, wasn't sure about this
PLZ HELP QUICK WILL MARK BRAINLIEST
Answer:
21
Step-by-step explanation:
Solve the following equations 3x-5=40
Answer:
x=15
Step-by-step explanation:
3x−5+5=40+5
3x=45
Step 2: Divide both sides by 3.
3x3=453
x=15
Answer:
x = 15
Step-by-step explanation:
3x - 5 = 40
add 5 to each side of the equation:
3x - 5 + 5 = 40 + 5
simplify:
3x = 45
divide both sides by 3:
3x/3 = 45/3
simplify:
x = 15
pls help me with 3,4, and 5
Answer:
#3 C. Subtract 11
#4 D. Subtract 10
#5 A. Add 9
Answer:
Step-by-step explanation:
3) Subtract 11
25-11=14
42-11=31
42-11=31
50-11=39
59-11=48
4) Subtract 10
26-16=10
32-10=22
44-10=34
48-10=38
55-10=45
5) Add 9
10+9=19
22+9=31
23+9=32
24+9=33
46+9=55
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain
Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Find two sets of values for c and d such that
16c = 2d
Answer:
both 0 is one and c = 1 while d = 4 is another
Step-by-step explanation:
A photographer shines a camera light at a particular painting forming an angle of 40° with the camera platform. If the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting?
Answer:
Let y be the height above the camera platform of the painting.
tan (40degrees) = y/58
y = 58[tan(40)] = 58(0.8391) = 48.67 feet.
y = 48.67 feet
Step-by-step explanation:
2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?
Answer:
the time taken by Emily to bake the cookies alone is 7.2 hours
Step-by-step explanation:
The time taken by Emily to bake the cookies alone is shown below:
Given that
Christine can bake cookies in 9 hours
And, if her friend Emily is also helps her so it only takes 4 hours to bake the cookies
Now based on the above information
[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{4} \\\\\frac{1}{x}= \frac{1}{4} - \frac{1}{9} \\\\\frac{1}{x}= \frac{9 - 4}{36} \\\\\frac{1}{x}= \frac{5}{36} \\\\x = \frac{36}{5}\\\\= 7.2 hours[/tex]
Hence, the time taken by Emily to bake the cookies alone is 7.2 hours
A rectangular garden has an area of 3/7 square miles. If its length is 2/8 miles, what is its width?
Answer:
3/7 divided by 2/8 would be your simple equation to find the missing length:
3 8
__ x ___ = 24/14 *simplify* 1 10/14 *simplify more* 1 5/7
7 2
Step-by-step explanation:
Make the divisor a reciprocal (just turning the fraction upside down) then turn the division sign into a multiplication sign and do multiplication across to get your final answer, 1 5/7 is your answer.
Whenever finding a missing side length always divide the area by the known given length.
Drag the tiles to write a numerical expression for the following calculation.
Divide the difference between 70 and 20 by 25.
Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2
Answer:
[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]
brainyliest pls
Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.
Answer:
1.72
Step-by-step explanation:
8.60= 5 Pounds
So you divide by 5
8.60/5
1.75
Solve for b in this equation. 11 - b = 6
Answer:
5
Step-by-step explanation:
which is the solution to 4/5(n-3)=n-2
Answer:
-2 = n
Step-by-step explanation:
Multiplying both sides by (5/4) quickly isolates (n - 3):
(5/4)(4/5)(n - 3) = (5/4)(n - 2), or
n - 3 = (5/4)(n - 2)
Let's eliminate fractions by multiplying both sides by 4:
4n - 12 = 5n - 10
Combining like terms, we get -2 = n
Can anyone help me on this please?
Answer:
x = 6
y = 12
z = 12√2
Step-by-step explanation:
The volume of a square prism is 192 in. If the height of the prism is three times the length of the base, what is the height of the prism?
Answer:
what are the other dimensions ?
Step-by-step explanation:
A storage container in the shape of a right cylinder is shown in the diagram. What is the volume
of this container?
A 56.55 in
8. 125.66 in
C251.33 in
D. 502.65 in
Answer:
D
Step-by-step explanation:
502.65
goodluck on your test
Answer:
The volume of the container in the form of a right cylinder is 502.4 cubic inches.
Step-by-step explanation:
What is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
What is right cylinder?
A right circular cylinder is a three-dimensional solid shape that consists of two parallel bases linked by a closed circular surface.
The volume of a right cylinder is,
[tex]V=\pi r^{2} h[/tex]
Here, r=4in and h=10in
[tex]V=3.14*4^{2} *10\\V=3.14*16*10\\V=502.4[/tex]
Hence, the volume of the container is 502.4 cubic inches.
To know more about volume, right cylinder here
https://brainly.com/question/27661314
# SPJ2
asap plssssss helpppppppp
Answer:
Answers are below.
Step-by-step explanation:
1. b - [tex]c^{2}[/tex]
2. 24/2a
3. 150 - (6 + b)
4. 2c + 10
5. 35 - m
6. 4m
7. (g + 4) 2
8. m - 5 / 4
hope this helps and is right. p.s. i really need brainliest :)
What is the slope of the line?
Answer:
The slope is 1/3
Step-by-step explanation:
you go up one whole unit and to the right 3 whole units.
Answer: Its Just a line explaning how it is long
Step-by-step explanation:
the line rpresents all
503.74 - 276.21 pls help need answer nowwwwww
Answer:
227.53
Step-by-step explanation:
503.74 - 276.21 = 227.53
El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?
Respuesta:
21,16cm
Explicación paso a paso:
Volumen de un cono = 1 / 3πr²h
r es el radio de la base del cono
h es la altura del cono
Dados los siguientes valores
radio r = 18,8cm
Volumen = 416,4 centímetros cúbicos
Sustituir en la fórmula y obtener la altura.
Volumen de un cono = 1 / 3πrh
416,4 = 1 / 3π (18,8) h
416,4 = 1/3 * 3,14 * 18,8 h
416,4 = 19,6773h
Intercambio
19,6773h = 416,4
h = 416,4 / 19,6773
alto = 21,16 cm
Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.
Answer:
21,16cm
Step-by-step explanation:
Espero que esto ayude
A bag cohtains 4 red marbles, 5 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
Answer:
5/12
Step-by-step explanation:
total number of marble is 12 total number of blu is 5
Answer:
12.5%
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14)*(7/14)*(7/14)=343/2744
that condenses to 1 of 8 or 12.5%