Simplify the expression.
12 x [(9 + 6) / 3}
A.
38
B.
54
C.
60
D.
110
Your Turn: Find the measure of angle P below. Show your work. *
1. Congruent triangles are ______ similar
A. Never
B. Always
C. Sometimes
2. Similar triangles are ____ similar
A. Sometimes
B. Always
C. Never
Please help! Giving Brainliest! 1.How many college students are majoring in elementary education?
A.30
B.70
C.300
D.There is not enough information to tell.
2.Which major has the fewest number of students? (1 point)
A.Business
B.Computer programming
C.Elementary education
D.Engineering
E.Medical
15% of 20 is _____.
3
30
300
Answer:
It would be 3
Step-by-step explanation:
A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number of seats in each row.
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
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
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).
Help,, what is y??????????????????
A supplement of a given angle is 4 times as large as the complement of the angle. what is the measure of the angle?
What is the value of x? 3/ 4 x+5− 1 /2 x=3 please help
You earned 34,000 and your total tax due was 6,200 what was your average tax rate
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
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
What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
What is 3/10 divided by 4/5
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
Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )
The table shows a function. Is the function linear or nonlinear? x y 8 14 9 8 10 0
Which function is a quadratic function? c(x) = 6x + 3x3 d(x) = x – 8x4 p(x) = –5x – x2 k(x) = 2x2 + 9x4
Answer: –5x – x2
Step-by-step explanation:
edge.
Please help fast and answer all questions thank you.
(01.05) given the point (4, 5) and the slope of 6, find y when x = 24. (1 point) 118 144 125 149
k over 2 -10 = 25 solve for k
What is the number that is one half of one quarter of one tenth of 400?
1/10 of 400 = 40
1/4 of 40 = 10
1/2 of 10 = 5
the number is 5
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
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.
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?
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
Hi this is for texaschic101 mainly but anyone else is fine too.
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I’ve just done this question based on what texaschic101 told me on the other question, can anyone check if I’ve done it right? Thanks
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Question is find the values of x and y in the diagram.