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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
Answers
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.
helpppppppppppppppppppp
Answers
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer 6 : 5 : 4
Step-by-step explanation:
Its simply because
1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answers
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.
Is she correct?
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Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
Help fast as you can worth 7 points
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Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
3) What is 3x +15y=-16 in slope intercept form?
Answers
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
Solve using substitution x=-6 6x+10y=14
Answers
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
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Answer:
34 inches
Step-by-step explanation :
54/360 X 20
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
Answers
The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied to
rectangle QPRS to create rectangle QP'R'S?
o (x,y) → (X-6, y + 4)
o (x,y) → (x-4, y+6)
o (x,y) → (x+4, y-6)
o (x,y) → (X+6 Y-4)
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Answer:
C. (x + 4, y - 6)
Step-by-step explanation:
Going up means to add.
When you go up you are in the positives.
When you go left or down on a graph you are in the negatives.
Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
Answers
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
Answers
24+6=30
9-6=3
3x4=12/2=6
6x4=24
30 yd^2
A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .
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Answer:
48
Step-by-step explanation:
help please- I’m in between 962.5 and 1925 cubic meters
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The base is a triangle and it area= 0.5bh
0.5 x 11 x 5= 27.5
27.5 x 35=962.5m^3
You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height? 3643×100 43−3643 43−3636×100 43−3643×100
Answers
Answer:
19.4%
Step-by-step explanation:
Given data
Initial height=36in
Final height= 43in
% increase= Final-initial/initial*100
Substitute
% increase= 43-36/36*100
%increase= 7/36*100
%increase= 0.194*100
%increase= 19.4%
Hence the increase is 19.4%
Mhanifa please help these are my last ones !
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Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
Solve the equation.
x+2y=0
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Answer: y=-(x/2)
Graph it to figure out.
The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3
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Answer:
Step-by-step explanation:
Its c
Please help out will give brainliest
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Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
I Need Help Only #8
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Answer:
15
Step-by-step explanation:
What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.
Answers
Answer:
3014 cubit foot
Step-by-step explanation:
Find the diagram attached
Volume of the cone = 1/3πr²h
r is the base radius of the cone
h is the height
Given
r = 6ft
Get the height using the pythagoras theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8ft
Get the volume
Volume = 1/3πr²h
Volume = 1/3 * 3.14 * 6^2*8
Volume = 3.14 * 12 * 8
Volume =3,014.4
Volume = 3014 cubit foot to the nearest foot
pleaseeee help me, i dont have much time to finish
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Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
What is the volume of this square pyramid?
Answers
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:
Answers
Answer:
Step-by-step explanation:
[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]
7+5x+18=50
5x+25 = 50
5x = 25
x = 5
Answer:
25+5x =105
25+5x=505x=50-25x=25/5x=5hope it helps.
It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?
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Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
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Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help
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Answer:
well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.
his grade for exam 2 was 95
Step-by-step explanation:
15% of 100 = 15
80 + 15 = 95
Answer:
92
Step-by-step explanation:
15 percent of 80 is 12 percent
80 + 12 = 92
All of the following represent three multiplied by six except:
3x6
3.6
316)
3:6
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The statement represent three multiplied by six is 3 x 6 or 3.6
What is Multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
We have,
We have to represent three multiplied by six.
1. 3 x 6 shows three multiplied by six.
2. 3. 6 also shows three multiplied by six.
3. 316 not shows three multiplied by six.
4. 3:6 shows the division of 3 and 6.
Learn more about Multiplication here:
https://brainly.com/question/5992872
#SPJ2
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
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Answer:
They are parallel because they hold a same gradient which is 3/5
jim invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3%. the total interest that he earned was $540. how much did he invest?
Answers
Answer:
the principal or invested amount is $457.63
Step-by-step explanation:
The computation of the invest amount is given below:
As we know that
Principal = AMount ÷ (1 + rate × time)
= $540 ÷ (1 + 0.03 × 6)
= $540 ÷ 1.18
= $457.63
Hence, the principal or invested amount is $457.63
Basically we have applied the above formula so that the same would be calculated