Answer:
21.
Step-by-step explanation:
As 3/4 of the students play, we just have to multiply 3/4 by the total number of students.
3/4 * 28 = 84/4, or 21. 21 students play a team sport.
Mrs Li is x years old Mr Li is 6 years older than Mrs Li. David is one third of Mr Li.
Write an expression in terms of x for Davids age and the Sum of their 3 ages giving your answer in simplest form.
16 adults and 40 students attended a charity event. The adults and students sat at 8 tables.
Question 1: Each table had the same number of adults how many adults are there?
Question 2: Each table had the same number of students. How many students sat at each table?
Question 3: How many people in all sat at each table?
Please answer all these questions and tell me that answer as soon as possible please and thank you!
Answer:
1) 16 adults
2) 2 adults at each table
3) 7
Step-by-step explanation:
Mr.Yan has almost as twice as many chickens and cows. The total number of legs and heads is 184. How many cows are there?
Answer:
Number of cows is 23
Number of chickens is 46
Step-by-step explanation:
Let's assume
number of cows =x
we are given
Mr.Yan has almost as twice as many chickens and cows
so,
Number of chickens =2x
We know that
Number of legs in a cow =4
Number of legs in a chicken =2
now, we can set up equation
[tex]4\times x+2\times 2x=184[/tex]
[tex]4x+4x=184[/tex]
[tex]8x=184[/tex]
[tex]x=23[/tex]
So,
Number of cows =23
Number of chickens is
[tex]=2\times 23=46[/tex]
Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?
Answer:
(x - 12)(x^2 - 2) or (x - 12)(x + sqrt(2) ) (x - sqrt(2))
Step-by-step explanation:
It looks like grouping is the quickest way to do this.Put brackets around the 1st and second trems and around the 3rd and 4th terms.(x^3- 12x^2) - (2x -24) Pull out x^2 from the first 2 terms and 2 from the last 2.x^2(x - 12) - 2(x - 12) Now pull out x - 12 which is common on either side of the minus(x - 12)(x^2 - 2) You can leave this as it is, or you can factor x^2 - 2 intox^2 - 2: (x + sqrt(2) ) ( x - sqrt(2) )(x - 12)(x - sqrt(2) ) (x + sqrt(2) )Just to show you that these are possible factors, I've included a graph.The sqrt(2) = 1.4142The exact answer depends on your answer choices.Rewrite the function by completing the square F(x)=2x^2+13x+20
Answer:
[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]
Step-by-step explanation:
Consider the function [tex]F(x)=2x^2+13x+20.[/tex]
Rewrite it as follows:
[tex]F(x)=(2x^2+13x)+20=2\left(x^2+\dfrac{13}{2}x\right)+20=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2-\left(\dfrac{13}{4}\right)^2\right)+20=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-2\cdot \dfrac{169}{16}+20.[/tex]
Since
[tex]x^2+\dfrac{13}{2}x+\dfrac{169}{16}=\left(x+\dfrac{13}{4}\right)^2,[/tex]
you get
[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2+20-\dfrac{169}{8}=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]
Answer:
the correct answer is: f(x)=2(x+13/4)²+-9/8. i hope it help
For points A(−4, 8) and B(6, −14), what is the y-coordinate of the midpoint of line segment AB?
Answer:
The y coordinate is -3
Step-by-step explanation:
To find the midpoint, we use
midpoint = (x1+x2)/2, (y1+y2)/2
You only ask for the y coordinate.
y midpoint = (y1+y2)/2
y midpoint = (8+-14)/2
= -6/2
= -3
Answer:
-3
Step-by-step explanation:
usatestprep answer
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (-3,0)
Answer:
See image for answer
Step-by-step explanation:
I drew lines connecting the center of dilation and the points. Then, I divided the x-coordinate and the y-coordinate by 2 and I got the point. I did the same thing for the rest of the points and then connected them into a triangle.
Who can help me answer this question ASAP please and thank you please show work
I'll do the first one to get you started
So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))
g(x) = ( x - 4 )/2
g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)
g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4
g(f(x)) = (2x+0)/2
g(f(x)) = (2x)/2
g(f(x)) = 1x/1
g(f(x)) = 1x
g(f(x)) = x
Let me know if you need help with the other one.
What is the equation of the line that passes through the points (-3,2) and (-5,8)
a. 3x - y = -11
b. 3x + y = -7
c. 3x + y = 5
d. x + 3y = 4
Answer:
The answer is a. 3x - y = -11
Step-by-step explanation:
Firstly, you must find the gradient. This is found using the following formula:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Make sure that the x2 and y2 values are in the same coordinate set:
Let's set (-3 , 2) as y1 and x1,
y1 = 2 and x1 = -3
That means that (-5 , 8) is y2 and x2,
y2 = 8 and x2 = -5
Plug the values in:
[tex]\frac{8 - 2}{-5 - - 3}[/tex]
Simplified:
[tex]\frac{6}{2}[/tex]
Or 3
So the gradient (or slope) is 3
Now, using the following equation of a line formula:
y - y1 = m(x - x1)
Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:
y1 = 2
x1 = -3
m = 3
y - 2 = 3(x - - 3)
The negative and the subtract makes it a positive:
y - 2 = 3(x + 3)
Now we can multiply the bracket out:
3 * x = 3x
3 * 3 = 9
So:
y - 2 = 3x + 9
The equation is usually in the form:
y = mx + c
So we need to move the -2 over to the other side making it a positive 2:
y = 3x + 9 + 2
y = 3x + 11
Which is the equation of the line.
The one option that this rearranges to is a) because if you move the y over to the 3x, and the + 11 over to the other side, making them both negatives, the result is:
3x - y = -11
So your answer is a.
Find the value of m in this equation below
Answer:
m=0
Step-by-step explanation:
Zero power rule: a^0 = 1, Anything raised to the zero power is 1 (a≠ 0).
So if m=0, as long as x does not equal zero (x^8/yz^5)^m will equal one.
what is the result when 2x^3 -9x^2 +11x-6 is divided by x-3 ? show the work?
Step-by-step explanation:
2x^3 -9x^2 +11x-6 divided by x-3
We use long division
2x^2 - 3x + 2
------------------------------
x - 3 2x^3 - 9x^2 + 11x - 6
2x^3 - 6x^2
--------------------------------------(subtract)
-3x^2 + 11x
-3x^2 + 9 x
----------------------------------------(subtract)
2x - 6
2x - 6
-----------------------------(subtract)
0
Quotient : 2x^2 - 3x + 2
All polygons can be decomposed into?
Answer:
Triangles
Step-by-step explanation:
A polygon is a two dimensional plane figure having at least three straight sides and angles. It can have more than three sides but the simplest and basic polygon we can draw is a triangle.
Hence all polygons can be decomposed into the smaller basic polygons which are triangles.
what is 181x182 if you guess this right you get a follow and a thank you and you can get 30$
Answer: c[p(g)] = 0.896g
Step-by-step explanation:
What is the product of z1 and its conjugate?
From the plot, we see that [tex]z_1=-4-3i[/tex]. Its conjugate would be [tex]\bar{z_1}=-4+3i[/tex], so that the product of the two is
[tex]z_1\bar{z_1}=(-4-3i)(-4+3i)=16-9i^2=16+9=25[/tex]
More generally, note that if [tex]z=x+yi[/tex], then
[tex]z\bar z=(x+yi)(x-yi)=x^2+y^2=|z|^2[/tex]
Answer:
The product of z1 and its conjugate is 25.
Step-by-step explanation:
In the given graph x-axis represents the real axis and y-axis represents the imaginary axis.
The end point of z1 are (0,0) and (-4,-3). So, the complex number z1 is defined as
[tex]z_1=x+iy=-4-3i[/tex]
The conjugate of z1 is
[tex]\overline {z_1}=x-iy=-4+3i[/tex]
The product of z1 and its conjugate is
[tex]z_1\overline {z_1}=(-4-3i)(-4+3i)[/tex]
[tex]z_1\overline {z_1}=-4(-4+3i)-3i(-4+3i)[/tex]
[tex]z_1\overline {z_1}=16-12i+12i-(3i)^2[/tex]
[tex]z_1\overline {z_1}=16-9(i)^2[/tex]
[tex]z_1\overline {z_1}=16-9(-1)[/tex] [tex][\because i^2=-1][/tex]
[tex]z_1\overline {z_1}=16+9=25[/tex]
Therefore the product of z1 and its conjugate is 25.
please help me find the answer
Answer:
12
Step-by-step explanation:
A parallelogram has 4 sides. Opposite sides of a parallelogram are parallel and congruent.
Since one side has length p, its opposite side also has length p.
Since one side has length 17 ft, its opposite side also has length 17 ft.
The lengths of the 4 sides are p, p, 17 ft, and 17 ft.
The perimeter is the sum of the lengths of the sides, and it is 58 ft.
p + p + 17 + 17 = 58
2p + 34 = 58
2p = 24
p = 12
Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1) to create quadrilateral M’ A’T” H’
M' A'T" H' is (1,1) and (2.5) equals 3.6 to form a quadrilateral. A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.
What is meant by scale factor of quadrilateral?The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger. The scale factor is the ratio of one figure's side length to the other figure's corresponding side length. A scale factor is the amount by which an object is multiplied to produce a second object of different size but with the same appearance. Just a larger or smaller version of the original is created, not an exact copy.Let the scale factor of quadrilateral is center at 2.5 at (1, 1) then
(1,1) and (2.5) equals 3.6
(1,1) + (2.5) = 3.6
Therefore, the statement exists true about the dilation is
B. [tex]$\overline{A^{\prime} T^{\prime}}$[/tex] will overlap [tex]$\overline{A T}$[/tex]
C.[tex]$\overline{M^{\prime} A^{\prime}}$[/tex] will overlap [tex]$\overline{M A}$[/tex]
D. The slope of [tex]$\overline{H T}$[/tex] is equal to the slope of [tex]$\overline{\bar{H}^{\prime} T^{\prime}}$[/tex]
The complete question is :
Show the graph below
To learn more about Quadrilateral refer to:
brainly.com/question/23935806
#SPJ2
Final Answer:
The dilated quadrilateral MATH with a scale factor of 2.5 centered at (1, 1) transforms into the quadrilateral M’A’T’H’.
Explanation:
Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1). The dilation process involves multiplying the coordinates of each vertex (M, A, T, H) by the scale factor. Let's denote the original coordinates as (x, y), and the new coordinates as (x', y').
1. For point M (x_M, y_M):
- x'_M = 2.5 * (x_M - 1) + 1
- y'_M = 2.5 * (y_M - 1) + 1
2. Similarly, for points A, T, and H:
- x'_A = 2.5 * (x_A - 1) + 1
- y'_A = 2.5 * (y_A - 1) + 1
- x'_T = 2.5 * (x_T - 1) + 1
- y'_T = 2.5 * (y_T - 1) + 1
- x'_H = 2.5 * (x_H - 1) + 1
- y'_H = 2.5 * (y_H - 1) + 1
These formulas calculate the new coordinates for each point after the dilation. The resulting coordinates (x', y') form the vertices of the dilated quadrilateral M’A’T’H’. The center of dilation, (1, 1), is crucial in determining how each point is transformed. The scale factor of 2.5 indicates that the new coordinates are 2.5 times the distance from the center for each point. The final quadrilateral M’A’T’H’ is an enlarged version of the original MATH, maintaining the same shape but with all dimensions multiplied by the scale factor.
132, 217, 217, 120, 173, 261, 133, 150, 163, 241, 121, 153. I need it smallest to biggest.
Smallest to Largest-
120, 121, 132, 133, 150, 153, 163, 173, 217, 241, 261.
Hope this helps you!
Least Greatest
120, 121, 132, 133, 150, 163, 173, 217, 217, 241, 261
Hope helps!-Aparri
In the special right triangle, the 30-60-90 triangle, the angles are 30°, 60°, and 90°. What are the ratios of the sides associated with this special triangle?
Answer:
1 : √3 : 2
Step-by-step explanation:
In the special right triangle, 30°-60°-90° triangle:-
Opposite side < Adjacent side < Hypotenuse.
1. The smallest side is opposite to angle 30°, also called opposite side.
2. Adjacent side is √3 times smallest side.
3. Hypotenuse is 2 times smallest side.
So the ratios of sides would be as follows:-
Opposite : Adjacent : Hypotenuse
1x : √3x : 2x
1 : √3 : 2
−29−(−13÷35)
Please help me
Answer:
Step-by-step explanation:
you would use the distributive property, so the answer should be..... -377/1015, OR -13/35 BTW i'm not completely sure this is correct. Im not a calculator. But I think Im correct
What is 3/4 of 4/9 kilogram?
Hey there!
The word "of" means multiply in mathematical terms
"What is [tex]\frac{3}{4}[/tex] of [tex]\frac{4}{9}[/tex] kilogram? "
So, now that we know what of means we could now solve this equation '
[tex]\frac{3}{4} * \frac{4}{9}[/tex] [tex]3*4 [/tex][tex]4*9[/tex][tex]3*4 = 12[/tex][tex]4*9 = 36[/tex]We get: [tex]\frac{12}{36}[/tex] both terms go into [tex]12[/tex] ← so you could simply that fraction[tex]\frac{12/12}{36/12}[/tex][tex]\frac{12}{12} = 1[/tex][tex]\frac{36}{12} = 3[/tex][tex]\boxed{Answer: \frac{1}{3} }[/tex]Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Given g(x)=5x+1, find g(2)
g(2) This means that x is 2, so you can plug in 2 for "x" in the equation
g(x) = 5x + 1
g(2) = 5(2) + 1
g(2) = 10 + 1
g(2) = 11
To find the value of the function 'g(x) = 5x + 1' at x = 2, we substitute x with 2. Multiply 5 by 2 to get 10, then add 1 to get 11, so g(2) = 11.
Explanation:In the given function g(x) = 5x + 1, we are asked to find the value of g(2).
This involves replacing x in the function with 2. So, g(2) = 5(2) + 1. Multiply 5 by 2 to get 10, then add 1. This results in g(2) = 11.Learn more about Function Evaluation here:https://brainly.com/question/35863537
#SPJ2
Solve the system of equations by substitution.
6 = −4x + y −5x − y = 21
Answer:
Solve the system by the elimination method.
2x + y = 20 6x – 5y = 12
Answer:
First, we solved the system of equations by substitution and found x = -3, y = -6. Then, by employing the elimination method, we determined the solution to the second system as x = 7, y = 6.
Explanation:To solve the system of equations by substitution and elimination, let's start with the substitution method.
Solve the system by substitution:
Given equations: 6 = −4x + y and −5x − y = 21.
Step 1: From the first equation, isolate y: y = 4x + 6.
Step 2: Substitute y in the second equation: -5x - (4x + 6) = 21.
Step 3: Solve for x: -9x = 27, so x = -3.
Step 4: Substitute x back into the equation for y: y = 4(-3) + 6 = -6.
Solution: x = -3, y = -6.
Solve the system by the elimination method:
Given equations: 2x + y = 20 and 6x − 5y = 12.
Step 1: Multiply the first equation by 5, and the second by 1, to align coefficients of y.
Step 2: Add the modified equations to eliminate y: 10x + 5y + 6x - 5y = 100 + 12.
Step 3: Combine like terms and solve for x: 16x = 112, so x = 7.
Step 4: Substitute x back into one of the original equations to solve for y: 2(7) + y = 20, so y = 6.
Solution: x = 7, y = 6.
write some numbers that are equal to 15÷12
Answer
14 / 13 hope this helps
Step-by-step explanation:
A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a green marble, do not replace it, and pick a red marble?
Answer:
1/10
Step-by-step explanation:
Assuming there are 3 red marbles:
3/10 × 3/9 = 9/90 = 1/10
There are 3 red, that is where the first numerator comes from and there are 10 marbles so that is where the denominator comes from. There are 3 yellows, hence the second numerator but as we have taken a marble out there are now only 9 marbles in total.
i need help tyx so much
Answer:
tax = $6.63
Step-by-step explanation:
We can find the tax by multiplying the original amount by the tax rate.
tax rate = 10 % = .1
tax = 66.30 * .10
= 6.63
To solve this problem, we need to figure out how much tax Peter will be paying, given that the tax rate is 10% and his purchase costs $66.30.
To do this, we must first convert 10% into a decimal. To do this, we must divide it by 100 (because it is a fraction out of a total of 100 percent), or simply move the decimal point two places to the left. Therefore, 10% = 0.10.
To find the tax amount, we must multiply the sales tax rate (10% or 0.10) by the purchase cost ($66.30). This gives us:
$66.30 * 0.10 = $6.63
Therefore, your answer is $6.63.
(A little tip: the method I used above can be used for any tax rates, but a trick for finding 10 percent of something is to move the decimal point of the cost one place to the left).
Hope this helps!
Which statement describes data that is negatively skewed?
A- The majority of the data is to the left of the mean
B- The majority of the data is to the right of the mean
C- The majority of the data is in the center with the mean
D- The majority of the data is split to the right and left of the mean
One-hundred-fifty parents were surveyed. 26% said that their kids were naughty and 70% said their kid were nice. How many parents said their kids where nice? How many parents didn’t answer with either naughty or nice?
Answer:
105 parents said their kids were nice. 39 parents said their kids were naughty. 6 parents didn't answer.
Step-by-step explanation:
A coin is thrown at random into the rectangle below.

What is the likelihood that the coin will land in the green region?
It is certain.
It is impossible.
It is likely.
It is unlikely
Answer:
The answer is c hope it helps.
Step-by-step explanation:
Hence, option (C) is correct.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
The analysis of events governed by probability is called statistics.
As per the given information it would be option (C) i.e., it is likely
Hence, option (C) is correct.
To know more about the probability?
https://brainly.com/question/12629667
#SPJ5
How do you find unit rate from a proportional relationship shown in a table
Answer:
To find the unit rate, you have reduce the fraction until you get 1 in the denominator.
Step-by-step explanation:
ex: 16/4 = 4/1 = 4 this is the unit rate.
unit means 1.
A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. The data was used to make inferences regarding the other students taking the course. There data are below:
4.5 22 7 14.5 9 9 3.5 8 11 7.5 18 20 7.5
9 10.5 15 19 2.5 5 9 8.5 14 20 8
Compute a 95 percent confidence interval. What does this tell us?
Answer:
[tex]8.68,13.16[/tex]
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
[tex]\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92[/tex]
Standard deviation of the sample is,
[tex]\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6[/tex]
The confidence interval will be,
[tex]=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}[/tex]
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
[tex]=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}[/tex]
[tex]=10.92 \pm 2.24[/tex]
[tex]=8.68,13.16[/tex]
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
Final answer:
A 95 percent confidence interval is computed using the t-distribution and provides an estimated range where we can expect the population mean to lie. It reflects the level of certainty, but does not suggest that it contains 95 percent of the data.
Explanation:
To compute a 95 percent confidence interval for the number of hours students spent studying, we first need to calculate the mean and standard deviation of the given sample data. Then we can use the t-distribution because the sample size is small and we don't know the population standard deviation. The formula to calculate a confidence interval is: ± t× (s/√n), where t is the t-score associated with our confidence level and degrees of freedom (n-1), s is the sample standard deviation, and n is the sample size.
Confidence intervals provide a range of values that we are a certain percentage sure (95% in this case) contains the population mean. It is not correct to think that a 95% confidence interval contains 95% of the data. Instead, it means that if we were to take many samples and build a confidence interval from each of them, 95% of those intervals would contain the true population mean. Therefore, the confidence interval gives an interval estimate for where the population mean lies, not a precise value.