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.
what's the volume of this composite figure
a. 272 cubic inches
b. 192 cubic inches
c. 180 cubic inches
d. 372 cubic inches
please help!! I'll give brainiest
Answer:
372 in³
Step-by-step explanation:
v1 = 12×4×4=192 in³
v2 = 12×3×5=180 in³
total volume =180 +192 =372 in³
The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?
Answer:
16units
Step-by-step explanation:
Given data
The expression for the volume of a cone is given as
v=1/3πr^2h
v= 3π
r= 12
h=???
Substitute
3π= 1/3*π*12^2*h
3= 1/3*144*h
3= 144h/3
cross multiply
3*3= 144h
9= 144h
h= 144/9
h=16 units
Hence the heeight is 16units
Please solve 64^x=4096
Answer:
2
Step-by-step explanation:
64x64=4096
So its 64^2=4096
Answer:
x=2
Step-by-step explanation:
Given: 64ˣ=4096
Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)
Final answer: x=2
Geometry help please. Find m in the diagram please.
Answer:
m = 8
Step-by-step explanation:
[tex]\frac{m}{12}[/tex] = [tex]\frac{10}{5+10}[/tex]
15m = 120
m = 8
Use csc (90) = 10/m.
So, m = 10/csc(90).
m = 8.93997
Answer: m = 8
Find the product of the elements on the main
diagonal of matrix A:
d1 = (a11)(a22)
Answer:
24
Step-by-step explanation:
thats right
The solution is d₁ = 24
The product of the elements on the main diagonal of the matrix is 24
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the matrix be represented as A
Now , the value of A is
[tex]A = \left[\begin{array}{ccc}3 &2 \\ 5 &8 \\\end{array}\right][/tex]
Now , on simplifying the matrix A
The main diagonal of the matrix is having the elements ( a₁₁ ) and ( a₂₂ )
So , the product of the elements in the main diagonal is
a₁₁ = 3
a₂₂ = 8
And , the equation will be
d₁ = ( a₁₁ ) x ( a₂₂ )
Substituting the values in the equation , we get
d₁ = 3 x 8
d₁ = 24
Therefore , the value of d₁ is 24
Hence , the product of the diagonal elements of matrix is 24
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Can someone help me with these true or false questions thank you
what is the slope of the line that passes through the points (6,7) and (4,1)?
Answer:
3
Step-by-step explanation:
m= y2 - y1/ x2 - x 1
(6, 7) (4, 1)
1-7= -6
4-6= -2
-6/-2 = 3
Find the area of a rectangle with a base of 3 yards and a height of 4/7 yards.
Answer:
Area=12/7square yard
Step-by-step explanation:
Area=base x height
Area=3x4/7=12/7 square yard
I need the answer please
Step-by-step explanation:
So, it is a question of Arithmetic Progression.
Answer attached...
Hope it helps :)
Can someone help me please with both questions?
Which equation can best be modeled by the expression 10(-4)
Just need help solving this problem.
What is the main difference between a square and a rhombus?
A.
A rhombus has 4 right angles, and a square does not.
B.
A square must have 4 right angles, but a rhombus may or may not have 4 right angles.
C.
A square has sides that are parallel, but a rhombus does not.
D.
A rhombus is always bigger than a square.
Answer:
B. a square must have 4 right angles, but a rhombus may or not have 4 right angles.
Answer:
B
Step-by-step explanation:
The main difference between a square and a rhombus is a square must have 4 right angles, but a rhombus may or may not have 4 right angles. All the angles of a square have to be 90 degrees. All right angles are 90 degrees. All squares are rhombuses, but not all rhombuses are squares. There are occasions when a rhombus has 4 right angles.
Mrs. Parson cuts 1 /3 of a piece of construction paper. She uses 1 / 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?NO LINKKKKKKKKKKKKKKKKKKKKSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Answer:
1/3*1/6 is ur answer.
1/18
Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter
Answer:
everything is in the picture
Question to this please not sure
Answer:
6
Step-by-step explanation:
Answer:
6 miles
Step-by-step explanation:
d = 2xr
2x3 = 6
hope this helps
Jon wants to make a tent that is in the shape of a square pyramid. If the length of the square is 5 feet and the height of the tent is 6 feet, how much space will be in the tent? (Do not include the units).
It is 300
Step-by-step explanation:
6*5 multiply them times bye 2
in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!
Answer:
[tex]\huge{\{\fbox{\tt{Questions }}\}}[/tex]
The required measures of the circle are:
mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135
m∠ABF=120
What are the sections of the circle?A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.
Here,
A circle is shown,
mDF = 75 [shown in the image]
m∠FBE = 60 + ∠CBE
m∠FBE = 60 + ∠ABD [∠ABD=∠CBE]
m∠FBE = 60 + 45 [∠ABD = 180 - 75-60]
m∠FBE = 105,
Similarly,
mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120
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What is the sum of sqrt3 - i and 2 - sqrt3i?
Answer:
THE ANSWER IS B YALL I GUESSED AND GOT IT RIGHT
Step-by-step explanation:
HAVE A NICE DAY :)
The sum of given numbers is 2+√3 +i(-1+√3)
How to add complex numbers?
A complex number is a kind of number which has two parts:
Real partImaginary partThe real part consists of real numbers whereas the imaginary part consists of numbers like i (iota=√-1)and its multiples.
When we add complex numbers, we add the real part and the imaginary part separately.
In this question:
Adding real parts: √3 +2Adding imaginary part: -i+√3i=i(√3-1)Therefore, we get a new complex number that is √3+2+i(√3-1).
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What is the area of the following figure?
Answer:
Area = 136
Step-by-step explanation:
Rectangle on the bottom
Length = 16
Width = 7
Area = L * W
Area = 16 * 7
Area = 112
Triangle on Top
Height = 13 - 7 = 6
Length = 16 - 8 = 8
In a right triangle the area = the product of the 2 shortest sides divided by 2
Area = 1/2 * Length * Height
Area = 1/2 * 8 * 6
Area = 1/2 48
Area = 24
Total Area = 112 + 24 = 136
I will give you BRAINLIEST for the correct answer
Answer:
126
AS:
If these cubes are to to be placed so that their respective faces are parallel
or perpendicular, as the case may be, to the respective orientations of the
dimensions of the box, without tilting any cubes in any directions,
then choice B) can be justified. This leaves spaces (some volume) in the box
not filled by the cubes.
How many whole number of edges of the cubes fit into 4 cm?
4 / 3 √ 2 must be rounded down to 3.
How many whole number of edges of the cubes fit into 8 cm?
8 / 3 √ 2 must be rounded down to 6.
How many whole number of edges of the cubes fit into 10 cm?
10 / 3 √ 2 must be rounded down to 7.
Then (3)(6)(7) = 126
Jana has 2 red pens in her backpack. If this is 25% of the total number of pens, how many
pens are in her backpack?
nts
Select the correct response:
800
0.5
8
1200
Divide number of pens given by percentage:
2/0.25 = 8
She has 8 pens total.
What is the square root of -1?
Answer:
Step-by-step explanation:
The square root of a negative number is an irrational value
Answer:
✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0
✓0 is = 0
The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)
I NEED HELP PLEASE GUYS ITS FOR NOW!!
Answer:
202m
Step-by-step explanation:
Use pythagoream theorum to find the hypotenuse. So [tex]a^{2} +b^{2} =c^{2}[/tex], where the height (40m)=a and the anchor length (198m)=b. That leaves us with [tex]40^{2} +198^{2} =c^{2}[/tex], doing the math out for that we get 40,804=[tex]c^{2}[/tex], taking the square root of 40,804 we get our answer of 202m
A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
A. x² = –4y
B. x² = 4y
c.y² = 4x
D.y² = –4x
Answer:
A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...
Step-by-step explanation:
yeiii
The area of a garden can be represented by the expression x2 - 6x - 27. What are the dimensions of the rectangle in terms of x?
Answer:
Step-by-step explanation:
x² - 6x - 27
x² - 9x + 3x - 27
x(x - 9) + 3(x - 9)
(x - 9) (x + 3) = 0
x = 9
x = -3
The dimensions are 9 and 3
Use Substitution, what is the solution to the system 5x + y = 12 and 2x + Зу = -3
A (2,-3)
B (-3,3)
C (3,-3)
D (2,2)
Answer:
C
Step-by-step explanation:
A triangle has an area of 32 square centimeters and a height of 1 centimeters. What is the length of the base of the triangle?
A.64 cm
B.32 cm
C.16 cm
D.8 cm
The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)?
Answer:
the amount financed is $16,000
Step-by-step explanation:
The computation of the amount financed is shown below:
As we know that
Amount financed = cash price - down payment
= $16,500 - $500
= $16,000
Hence, the amount financed is $16,000
If we deduct the down payment from the cash price so we can get the amount financed
And, the same would be considered