The type of rice which is most expensive is [tex]\boxed{\text{\bf type B}}[/tex].
Further details:
It is given that the rice seller mixes three types of rice and the total number of mixture is three.
The first mixture consists [tex]1\text{ kg}[/tex] rice of type [tex]\text{A}[/tex], [tex]2\text{ kg}[/tex] rice of type [tex]\text{B}[/tex] and [tex]4\text{ kg}[/tex] rice of type [tex]\text{C}[/tex].
The selling price of the first mixture is [tex]19500[/tex].
In equation form it can be written as follows:
[tex]\boxed{\text{A}+2\text{B}+4\text{C}=19500}[/tex] .......(1)
The second mixture consists [tex]2\text{ kg}[/tex] rice of type [tex]\text{A}[/tex] and [tex]3\text{ kg}[/tex] rice of type [tex]\text{B}[/tex].
The selling price of the second mixture is [tex]19000[/tex].
In equation form it can be written as follows:
[tex]\boxed{2\text{A}+3\text{B}=19000}[/tex] ......(2)
The third mixture consists [tex]1\text{ kg}[/tex] rice of type [tex]\text{B}[/tex] and [tex]1\text{ kg}[/tex] rice of type [tex]\text{C}[/tex].
The selling price of the third mixture is [tex]6250[/tex].
In equation form it can be written as follows:
[tex]\boxed{\text{B}+\text{C}=6250}[/tex] ........(3)
Rearrange the equation (3) to obtain the value of [tex]\text{B}[/tex] as follows:
[tex]\text{B}=6250-\text{C}[/tex] ...........(4)
Substitute this value of [tex]\text{B}[/tex] in equation (2).
[tex]\begin{aligned}2\text{A}+3(6250-\text{C})&=19000\\2A+(3\cdot 6250)-3\text{C}&=19000\\2\text{A}-3\text{C}+18750&=19000\\2\text{A}-3\text{C}&=19000-18750\\2\text{A}-3\text{C}&=250\end{aligned}[/tex]
Further solve the above equation,
[tex]\text{A}-1.5\text{C}=125[/tex] ......(5)
Now substitute the value of [tex]\text{B}[/tex] from equation (4) in equation (1) to obtain an equation in the form of [tex]\text{A}[/tex] and [tex]\text{C}[/tex] as follows,
[tex]\begin{aligned}\text{A}+2(6250-\text{C})+4\text{C}&=19500\\ \text{A}+(2\cdot 6250)-2\text{C}+4\text{C}&=19500\\ \text{A}+12500+2\text{C}&=19500\\ \tex{A}+2\text{C}&=19500-12500\end{aligned}[/tex]
Further the above equation can be simplifies as follows,
[tex]\text{A}+2\text{C}=7000[/tex] .......(6)
Subtract the equation (4) from (5) to obtain the value of [tex]\text{A}[/tex] and [tex]\text{C}[/tex].
[tex]\begin{aligned}\text{A}+2\text{C}-\text{A}+1.5\text{C}&=7000-125\\3.5\text{C}&=6875\\ \text{C}&=1964.3\end{aligned}[/tex]
Substitute this value of [tex]\text{C}[/tex] in equation (5) to obtain the value of [tex]\text{A}[/tex] as follows,
[tex]\begin{aligned}\text{A}+(2\cdot 1964.3)&=7000\\ \text{A}&=7000-3928.6\\ \text{A}&=3071.4\end{aligned}[/tex]
Again substitute [tex]\text{C}=1964.3[/tex] in equation (4) to obtain the value of [tex]\text{B}[/tex].
[tex]\begin{aligned}\text{B}&=6250-1964.3\\&=4285.7\end{aligned}[/tex]
Therefore, the most expensive type of rice is [tex]\boxed{\text{\bf type B}}[/tex].
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Mixtures
Keywords: Rice seller, mixture, sold, expensive, type A, type B, type C, simplification, consist, 19500, 1 kg,addition, substitution, multiplication.
Find the markup $111.00 percent of markup 50%
Answer:
$166.50
Step-by-step explanation:
The difference of three times a number and 4 is -19?
NEED ANSWERS ASAP 80 POINT QUESTIONS
a) The value of homes in one area went up by an average of 2.3% in the past year. Estimate the value today of a home that was valued at $265,000 last year.
b) This year, the annual sales through one Century 21 office with 12 sales agents were $42 million. Estimate the revenue for the office if it received an average of 20% of the 6% commission on sales.
c) a) From the revenue in part (b) above, the office manager must pay all costs of operating the sales office, including advertising, utilities, phones, insurance, and salaries for all noncommission employees. For the current year, these costs amount to $468,000. Find the profit as a percent of total revenue to the real estate office and round to the nearest tenth of a percent.
A) 265,000* 1.023 = $271,095
B) 42,000,000*0.06 = 2,520,000*0.20 = $504,000
C) 504000 - 468000 = 36000/504000 = 0.0714 = 7.1%
Use inductive reasoning to describe each pattern and find the next two terms of each sequence.
1, 4, 9, 16, 25, …
Answer:
B. Multiply by 2; 64, 128.
solve the literal equation for y a=9y-3yx
Final answer:
To solve the literal equation for y in the given equation a=9y-3yx, we can rearrange the terms and isolate y on one side. The solution for y is (a - 9y) / (-3x).
Explanation:
To solve the literal equation for y, we need to isolate y on one side of the equation.
Given the equation a = 9y - 3yx, we can start by rearranging the terms.
Subtract 9y from both sides:
a - 9y = -3yx
Divide both sides by -3x:
(a - 9y) / (-3x) = y
So, the solution for y is (a - 9y) / (-3x).
Final answer:
To solve the given literal equation for y, factor out y and then divide by (9 - 3x) to obtain the equation y = a / (9 - 3x), which allows y to be expressed in terms of a and x.
Explanation:
To solve the literal equation for y given as a = 9y - 3yx, we want to isolate y on one side of the equation. To do this, we first factor out y from the terms on the right side of the equation:
a = y(9 - 3x)
Next, we divide both sides of the equation by (9 - 3x) to get y by itself:
y = a / (9 - 3x)
This equation represents the value of y in terms of a and x. In the context of a linear equation, such as y = 9 + 3x, the number 9 is the y-intercept (denoted as the b term), and the number 3 is the slope (denoted as the m term).
Can someone please clearly explain how to correctly work out Q6? Much appreciated
s =1/2(u+v)t
u = 16, v=16, t=90
s = 1/2(16+16)90
s = 1/2(36)90
s = 16*90
s = 1440
which is larger 42mm or 10cm, 15mm or 0.15, 10mm or 2 cm
1. 10 cm
2. 15 mm
3. 2 cm
Hope this helps even though it's pretty late!
Joey has 5.75 made up of all dimes and quarters. If joey has 38 coins. How many of each each coin does he have?
In the diagram, SR = and QR = . What is the perimeter of parallelogram PQRS?
A. √10 units
B. 8√2 + 2√10 units
C. 16√2 units
D. 8√2 + 8 units
Answer:
B. [tex]8\sqrt2+2\sqrt{10}[/tex] units
Step-by-step explanation:
We are given that a parallelogram PQRS in which point P(-2,5), Q(2,1),R(1,-2) and S(-3,2).
We have to find the perimeter of parallelogram PQRS.
Distance formula : [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
[tex]SR=\sqrt{(1+3)^2+(-2-2)^2}=4\sqrt2[/tex]units
[tex]QR=\sqrt{(1-2)^2+(-2-1)^2}=\sqrt{10} units[/tex]
Now, the perimeter of parallelogram =2(SR+QR)
The perimeter of parallelogram =[tex]2(4\sqrt2+\sqrt{10})=8\sqrt2+2\sqrt{10} units[/tex]
Answer:B. [tex]8\sqrt2+2\sqrt{10}[/tex] units
If a, b, and c are nxn invertible matrices, does the equation c^-1(a+x)b^-1 have a solution c
There is a solution. Starting from C−1(A+X)B−1=In C−1(A+X)B−1=In, multiply both of the sides of the equation, by C and multiply both sides of the equation by B.
In other terms, this is the solution:
Given: C^(-1)(A + X)B^(-1) = In
= CC^(-1)(A + X)B^(-1)B = CInB
= In(A + X)In = CB
= AInIn + XInIn = CB
= A + X = CB
X = CB – A
The final answer Is X = CB – A
3. Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. Write all 4 forms of the statement using symbols. c. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? BONUS: Use at least one truth table AND at least one property to support your reasoning.
Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary have?
f(x) = 2x + 6, g(x) = 4x2 Find (f + g)(x).
Answers are: 8x^3 + 24x
2x+6/4x^2
4x^2 + 2x + 6
-4x^2 + 2x + 6
Answer: The correct option is
(C) [tex]4x^2+2x+6.[/tex]
Step-by-step explanation: We are given the functions f(x) and g(x) as follows :
[tex]f(x)=2x+6,\\\\g(x)=4x^2.[/tex]
We are to find the value of (f+g)(x).
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
So, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=2x+6+4x^2\\\\=4x^2+2x+6.[/tex]
Thus, the required value is [tex](4x^2+2x+6).[/tex]
Option (C) is CORRECT.
1. Congruent triangles are ______ similar
A. Never
B. Always
C. Sometimes
2. Similar triangles are ____ similar
A. Sometimes
B. Always
C. Never
a bunch of has 10 3/4 lb of ground beef that will be priced at 3:40 per pound he divides the me into 8 equal packages to the nearest cent what will be the price of each package
What is 3/10 divided by 4/5
The table shows a function. Is the function linear or nonlinear? x y 8 14 9 8 10 0
what makes this graph misleading?
What is the value of x? 3/ 4 x+5− 1 /2 x=3 please help
Write the equation of the linear function for which f(0)=3 and f^-1(0)=-2
Simplify the expression.
12 x [(9 + 6) / 3}
A.
38
B.
54
C.
60
D.
110
what is 1/8(−8c+16)−1/3(6+3c)?
Thank you!!
Answer: The required simplified expression is -2c.
Step-by-step explanation: We are given to simplify the following expression :
[tex]E=\dfrac{1}{8}(-8c+16)-\dfrac{1}{3}(6+3c)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following distributive property :
[tex]a(b+c)=ab+ac.[/tex]
From expression (i), we get
[tex]E\\\\\\=\dfrac{1}{8}(-8c+16)-\dfrac{1}{3}(6+3c)\\\\\\=\dfrac{1}{8}\times(-8c)+\dfrac{1}{8}\times16-\dfrac{1}{3}\times6-\dfrac{1}{3}\times3c\\\\=-c+2-2-c\\\\=-2c.[/tex]
Thus, the required simplified expression is -2c.
A triangle has a perimeter of 10x+2. Two sides have lengths of 5x and 2x+9. What is the length of the 3rd side
A bit-map terminal has a 1024x768 display. the display is redrawn 75 times a second. how long is the pulse corresponding to one pixel
The pulse corresponding to one pixel is approximately 1.27 microseconds.
Explanation:In this case, we can calculate the duration of the pulse corresponding to one pixel by dividing the time required to redraw the display by the total number of pixels.
Given that the display is redrawn 75 times a second, and the display has a resolution of 1024x768 pixels, the total number of pixels is 1024 * 768 = 786,432 pixels.
To find the duration of the pulse corresponding to one pixel, we can divide the time required to redraw the display (1/75 seconds) by the total number of pixels (786,432 pixels).
Therefore, the pulse corresponding to one pixel is approximately 1.27 microseconds.
Your Turn: Find the measure of angle P below. Show your work. *
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?
A. 2.5 cm, 5. cm, 7.5 cm
B. 9 cm, 10 cm, 11 cm
C. 7.5 cm, 10 cm, 12.5 cm
D. 2.5 cm, 7.5 cm, 12.5 cm
Write each statement in if-then form.
3. “Those who do not remember the past are condemned to repeat it” (George Santayana)
4. Adjacent angles share a common vertex and a common side
ram wants to work to preserve marine habitats. Which field of study would be most useful to him
A) Meteorology
B)Zoology
C)Oceanography
D)Botany
Graph y=3x and make a table of values too
What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.