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Related Questions
what is 1/8(−8c+16)−1/3(6+3c)?
Thank you!!
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Have a great day!
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 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
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The difference of three times a number and 4 is -19?
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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.
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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
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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
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
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F(x) = 2x + 6, g(x) = 4x²
(f + g)(x)= f(x) +g(x) = 4x²+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.
Simplify the expression.
12 x [(9 + 6) / 3}
A.
38
B.
54
C.
60
D.
110
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60
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
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Marine habitats are usually in the ocean or some body of water.
Zoology sounds like a good reason, but maybe not because it's the study of watching over the animals behavior and instincts.
Botany is not the answer either because it is the study of plants.
Oceanography is probably the best answer because it has the word ocean in it where marine habitiats are, and I'm guessing it's about the branch of science that deals with the physical and biological properties and phenomena of the sea.
Your Turn: Find the measure of angle P below. Show your work. *
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9x-9=180
9x=189
x=21
2x+5=P
2(21)+5= 47
P=47
The figure shows lines m, n and the line through points A And B, call it [tex]l_{AB}[/tex].
1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.
thus,
(2x+5°)+(7x-14°)=180°
9x-9°=180°
9x=189°
x=189°/9=21°.
2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P
check the second picture, notice the F shape formed by CBP and P.
Angles CBP and P are called "angles F" or "corresponding angles".
Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:
m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°
Answer: 133°
1. Congruent triangles are ______ similar
A. Never
B. Always
C. Sometimes
2. Similar triangles are ____ similar
A. Sometimes
B. Always
C. Never
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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
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What is 3/10 divided by 4/5
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You can solve this problem by changing the second fraction and multiplying. 3/10 times 5/4 is 15/40 = 3/8
solve the literal equation for y a=9y-3yx
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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).
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.
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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%
Seorang penjual beras mencampur 3 jenis beras. campuran pertama terdiri atas 1 kg jenis a , 2 kg jenis b , dan 4 kg jenis c dijual dengan harga Rp.19.500 . campuran beras kedua terdiri dari 2 kg jenis a dan 3 kg jenis b dijual harga Rp.19.000 . campuran beras ketiga terdiri atas 1 kg jenis b dan 1 kg jenis c dijual dengan harg Rp.6.250 . harga beras jenis manakah yang paling mahal
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A rice supplier mixes three different types of rice into three different blends; Type A, Type B, and Type C.
He blends 1 kg of type A, 2 kg of type B, and 4 kg of type C and sells the blend for IDR 19500
He also blends 2 kg of type A and 3 kg of type B and sells the blend for IDR 19000
The third blend consists of 1 kg of type B and 1 kg of type C and this blend is sold for IDR 6250
Which type of rice is the most expensive?
Solution:
Start with the third blend:
1 kg of type B + 1 kg of type C = 6250
B + C = 6250
B = 6250 - C
Then move on to the second blend:
2 kg of type A + 3 kg of type B = 19000
2A + 3B = 19000
2A + 3(6250 - C) = 19000
2A + 18750 - 3C = 19000
2A - 3C = 19000 - 18750
2A - 3C = 250
2A = 250 + 3C
A = [250 + 3C] / 2
Then move on to the first blend:
1 kg of type A + 2 kg of type B + 4 kg of type C = 19500
A + 2B + 4C = 19500
[tex] \frac{250+3C}{2}+2(6250-C)+4C=19500 [/tex] ⇒ Multiply each term by 2
[tex](250+3C)+4(6250-C)+8C=39000[/tex]
[tex]250+3C+25000-4C+8C=39000[/tex]
[tex]25250+7C=39000[/tex]
[tex]7C=39000-25250[/tex]
[tex]7C = 13750[/tex]
[tex]C=1964.3[/tex]
B + C = 6250
B + 1964.3 = 6250
B = 6250 - 1964.3
B = 4285.7
A = [250+C] /2
A = [250 + 1964.3] / 2
A = 1107.15
The most expensive rice is type B
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].
Learn more:
1. Problem on percentage in a survey: https://brainly.com/question/3724002
2. Problem on unit conversion factor: https://brainly.com/question/5009365
3. Problem on to find the value in pounds: https://brainly.com/question/4837736
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.
Write the equation of the linear function for which f(0)=3 and f^-1(0)=-2
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and
if [tex]f^{-1}(a)=b[/tex] then f(b)=a
so
since [tex]f^{-1}(0)=-2[/tex] therefor, f(-2)=0
we have 2 points, (-2,0) and (0,3)
we can use slope intercept form
y=mx+b
m=slope
b=y intercept
we have when x=0, y=3, that is the y intercept
y=mx+3
substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
[tex]\frac{3}{2}=m[/tex]
the equation is
[tex]y=\frac{3}{2}x+3[/tex]
or
3x-2y=-6 in standard form
what makes this graph misleading?
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it goes from 10,15, 20 to 30. it should actually be 35
the second is accurate because it keeps going up by 50
Can someone please clearly explain how to correctly work out Q6? Much appreciated
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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
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
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the answer is c option
What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
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2 + 1 = 3
here the product is less than the sum so the conjecture is not true for these 2 numbers so its not true for all positive numbers.
The table shows a function. Is the function linear or nonlinear? x y 8 14 9 8 10 0
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which is larger 42mm or 10cm, 15mm or 0.15, 10mm or 2 cm
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1. 10 cm
2. 15 mm
3. 2 cm
Hope this helps even though it's pretty late!
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
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It takes 1 second to draw these number of pixels 75 times.
The drawing rate is
(75*786,432 pixels) per second
The length of the pulse to draw a pixel is
1/(75*786432) s = 1.6954 x 10⁻⁸ s = 0.1695 x 10⁻⁹ s= 0.1695 ns
Answer: 0.17 ns (nanosecond) or 1.695 x 10⁻⁸ s
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.
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
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length of third side = 10x + 2 - (7x + 9)
length of third side = 10x + 2 - 7x - 9
length of third side = 3x - 7
hope it helps
Find the markup $111.00 percent of markup 50%
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50% of 111 = 55.5
Then add 55.5 on 111 = $166.50
Final value $166.50
Answer:
$166.50
Step-by-step explanation:
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?
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Use inductive reasoning to describe each pattern and find the next two terms of each sequence.
1, 4, 9, 16, 25, …
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1 (+3); 4 (+5); 9 (+7); 16 (+9); 25 (+11); 36 (+13); 49 (+15); 64 (+17); .......
Answer:
B. Multiply by 2; 64, 128.
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?
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0.10d + 0.25q = 5.75
0.10(38 - q) + 0.25q = 5.75
3.80 - 0.10q + 0.25q = 5.75
-0.10q + 0.25q = 5.75 - 3.80
0.15q = 1.95
q = 1.95/0.15
q = 13 <=== 13 quarters
d + q = 38
d + 13 = 38
d = 38 - 13
d = 25 <=== 25 dimes
Graph y=3x and make a table of values too
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If a, b, and c are nxn invertible matrices, does the equation c^-1(a+x)b^-1 have a solution c
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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