The equivalent expression is 2(y-4).
What is an expression?
A statement with more than two variables or integers can be written as an expression using addition, subtraction, multiplication, and division operations.
What is equivalent?Even though they have different looks, expressions that are equivalent do the same action. Two algebraic expressions that are equivalent have the same value when the variable is entered with the same value.
We have,
-2y - 8 + 4y
-2y and 4y are like terms.
So,
Add the like terms.
2y - 8
Taking out 2 commons.
2(y - 4)
Now,
We can not further simplify the expression.
Thus,
The equivalent expression is 2(y - 4).
Learn more about expressions here:
https://brainly.com/question/14083225
#SPJ1
Explain how to plot the point (3, -7) on the coordinate plane.
Answer:
Starting at the origin (0, 0), go right 3 units, then down 7 units. You will end at (3, -7).
Solve for X. Round to the nearest tenth
Answer:
x=7.9*tan(54°)=10.87
5,5,6,9,4,3,4,8,10,4 what is the range
Answer: Symbol max-min and answer 10-4
Step-by-step explanation:
The triangle above has the following measures
m/C=45 degrees
a=7.5 yd
Use the 45-45-90 Trangle Theorem to find the
length of the hypotenuse Include correct units.
Show all your work.
The length of the hypotenuse is given as follows:
b = 10.6 yd.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.By the 45-45-90 Triangle Theorem, the two sides have the same length, hence:
a = c = 7.5.
Hence the hypotenuse b is obtained as follows:
b² = a² + c²
b² = 7.5² + 7.5²
[tex]b = \sqrt{7.5^2 + 7.5^2}[/tex]
b = 10.6 yd.
More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
#SPJ1
the primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) __________ code on the healthcare claim
The primary condition for which a patient is receiving care is communicated to the third-party payer through a diagnosis code on the healthcare claim.
The diagnosis code is a standardized code that represents the patient's medical condition or illness as determined by the healthcare provider. These codes are typically based on the International Classification of Diseases (ICD) coding system, which is used worldwide for reporting diagnoses and medical procedures.
By including the appropriate diagnosis code on the healthcare claim, healthcare providers can communicate to third-party payers the reason for the services or procedures provided. This information is essential for processing and reimbursing healthcare claims accurately and efficiently.
learn more about The primary condition
https://brainly.com/question/28204327
#SPJ4
The primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) ICD (International Classification of Diseases) code on the healthcare claim.
The ICD code serves as a standardized system for classifying diseases and health conditions, enabling clear
communication between healthcare providers and third-party payers.
The primary condition for which a patient is receiving care is communicated to the third-party payer through a
diagnosis code on the healthcare claim. Diagnosis codes, also known as ICD codes (International Classification of
Diseases codes), are standardized codes that represent the specific medical condition or disease being treated by the
healthcare provider.
These codes are used to ensure accurate and timely payment for services rendered and to track healthcare utilization
and outcomes.
for such more question on ICD
https://brainly.com/question/2473620
#SPJ11
One of the legs of a right triangle measures 16 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
[tex]2\sqrt{65}[/tex] cm, decimal form is about 16.1 cm
Step-by-step explanation:
Use the pythagorean theorem:
A^2 + B^2 = C^2
A and B are legs, c is hypotenuse
First leg is 16, second leg is 2
Plug it in:
16^2 + 2^2 = hypotenuse^2
256 + 4 = hypotenuse ^2
260 = h^2
[tex]\sqrt[2]{260}[/tex] = h
To simplify the square root of 260, we can factor 260 into its prime factors:
260 = 2 x 2 x 5 x 13
Then, we can take out the pairs of identical factors from under the square root symbol:
sqrt(260) = sqrt(2 x 2 x 5 x 13)
= sqrt(2 x 2) x sqrt(5) x sqrt(13)
= 2sqrt(65)
[tex]2\sqrt{65}[/tex]
Answer:
16.2 or 16.00
Step-by-step explanation:
Leg #1 --->16
Leg #2 --->2
C ---> hypotenuse
16.12452---->16.12
16.12 rounded to the nearest tenth is 16.00
CAN SOMEONE PLS HELP ME WITH THIS? +35 POINTS
what order do they go in?
At sunrise, shadows are longest and point towards the west as the sun rises in the east. Therefore, the correct order would be:
Longest shadows of the day, and they point to the west → shadows gradually become shorter → very short shadows or no shadows → shadows gradually become longer → longest shadows of the day, and they point to the east.
What is the shadows about?As the sun moves across the sky, shadows change in length and direction, reaching their shortest length at noon when the sun is directly overhead. After noon, the sun starts to move towards the west, and shadows gradually become longer until sunset when they are longest again, but this time pointing towards the east as the sun sets in the west.
Therefore, correct order of descriptions of shadows during the day, from sunrise to sunset, would be:
Very short shadows or no shadows - This occurs during sunrise when the sun is low on the horizon and its rays are nearly vertical, resulting in very short shadows or no shadows at all.Shadows gradually become longer - As the sun rises higher in the sky, shadows start to lengthen gradually.Longest shadows of the day, and they point to the west - During late morning or early afternoon, shadows are at their longest and they point towards the west, opposite to the direction of the sun.Shadows gradually become shorter - As the sun starts to descend towards the horizon in the late afternoon, shadows gradually become shorter.Longest shadows of the day, and they point to the east - During sunset, shadows are again at their longest, but this time they point towards the east, following the direction of the setting sun.Read more about shadows here:
https://brainly.com/question/922673
#SPJ1
See text below
How do shadows change during the day?
Drag and drop the descriptions of shadows to show the correct order, from sunrise to sunset.
longest shadows of the day, and they point to the west
longest shadows of the day, and they point to the east
shadows gradually become shorter
very short shadows or no shadows
shadows gradually become longer
3x - 24 > 54 solve the inequality?
if a building is 130 feet tall and is viewed from a spot on the ground 80 feet away from the base of the building, what is the slope of a line from the spot on the ground to the top of the building? (round your answer to two decimal places.)
Answer:
The slope of that line is 13/8 = 1.625
(1.63 to two decimal places).
Solve for x: 6x1/4(4x+8)>12
Toshi predicted that he will perform a card trick successfully 95% of the time. He went on to perform the card trick successfully 24 out of 30 times. How did Toshi’s prediction compare with his actual results?
Toshi's actual results were significantly different from his prediction. Specifically, his actual success rate of 80% was lower than his predicted success rate of 95%.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.
According to question:Toshi's prediction was that he would perform the card trick successfully 95% of the time. This means that out of 100 card tricks, he expects to perform the trick successfully in 95 of them. We can represent this mathematically by:
P(success) = 0.95
This is the probability of success for one card trick.
Toshi actually performed the card trick 30 times and was successful in 24 of them. We can represent this as:
P(actual success) = 24/30 = 0.8
This is the proportion of successful card tricks that Toshi actually performed.
To compare Toshi's prediction with his actual results, we can use probability theory. The probability of getting exactly x successes in n trials when the probability of success is p is given by the binomial distribution formula:
P(x) = (n choose x) * pˣ * [tex](1-p)^(n-x)[/tex]
In this case, we can use the formula to calculate the probability of getting exactly 24 successes in 30 trials if Toshi's prediction of 95% success rate is accurate. This is given by:
P(24 successes) = (30 choose 24) * 0.95²⁴ * 0.05⁶ ≈ 0.0045
This means that if Toshi's prediction is accurate, the probability of getting exactly 24 successes in 30 trials is very low (less than 0.5%).
Therefore, we can conclude that Toshi's actual results were significantly different from his prediction. Specifically, his actual success rate of 80% was lower than his predicted success rate of 95%.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
i need the answers for these 2 questions plss help me
Answer:
7) 760
8) 34
Step-by-step explanation:
7) 95x8=760
8) (103-35)/2=34
what is the projection of u onto v with "U" having points (-9,-5) and "V" having points (-6,5)
The projection of u onto v is proj_v(u) = (u•v)/(||v||²) * v = (29/61) * (-6,5) = (-174/61, 145/61).
Explain the term projection
Projection is the process of representing a three-dimensional object or scene onto a two-dimensional surface. It involves the use of mathematical principles to create a flat image that accurately depicts the shape and position of the object or scene. Projections are widely used in fields such as engineering, architecture, and computer graphics to create visual representations of complex structures and designs.
According to the given information
The projection of a vector u onto a vector v is given by the formula proj_v(u) = (u•v)/(||v||²) * v, where u•v is the dot product of u and v, and ||v|| is the magnitude of v.
In this case, u = (-9,-5) and v = (-6,5). The dot product of u and v is u•v = (-9)(-6) + (-5)(5) = 54 - 25 = 29. The magnitude of v is ||v|| = √((-6)² + (5)²) =
√(36 + 25) = √61.
So the projection of u onto v is proj_v(u) = (u•v)/(||v||²) * v = (29/61) * (-6,5) = (-174/61, 145/61).
To know more about projection visit
brainly.com/question/17262812
#SPJ1
PLEASE IM BEGGING GET THIS RIGHT. RIGHT ANSWER GETS 30 POINTS AND BRAINLIEST. THIS IS DUE IN 5 MINUTES ‼️‼️‼️‼️‼️‼️‼️
The area of the composite figure is 84.85 square units
How to find the area of the composite figureThe area of the composite figure is solved by breaking it up and adding together
To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:
radius = diameter / 2 = 8 / 2 = 4
area of semicircle = (1/2) * pi * radius^2
= (1/2) * pi * 4^2
= 8 pi
Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:
area of parallelogram = base * height
In this case, the base is 10 and the height is 6, so we have:
area of parallelogram = 10 * 6
= 60
total area = area of semicircle + area of parallelogram
= 8 pi + 60
= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)
Learn more about area of semicircle at
https://brainly.com/question/15822332
#SPJ1
a sample of 1600 computer chips revealed that 64% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that above 61% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.02 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
The test statistic (3.46) is greater than the critical value (2.05), we reject the null hypothesis and conclude that there is sufficient evidence at the 0.02 level to support the company's claim that above 61% of the chips do not fail in the first 1000 hours of their use.
The null hypothesis for this scenario is that the proportion of computer chips that do not fail in the first 1000 hours of their use is equal to or less than 61%, while the alternative hypothesis is that the proportion is greater than 61%. Mathematically:
H0: p ≤ 0.61
Ha: p > 0.61
where p is the true proportion of computer chips that do not fail in the first 1000 hours of their use.
To test this hypothesis, we can use a one-tailed z-test for proportions. Using the given sample information, we can calculate the test statistic as:
z = (0.64 - 0.61) / sqrt((0.61 * 0.39) / 1600) = 3.46
where 0.39 is the complement of 0.61, and sqrt denotes the square root. The critical value for a one-tailed test at the 0.02 level of significance is 2.05.
Since the test statistic (3.46) is greater than the critical value (2.05), we reject the null hypothesis and conclude that there is sufficient evidence at the 0.02 level to support the company's claim that above 61% of the chips do not fail in the first 1000 hours of their use.
Learn more about null hypothesis
https://brainly.com/question/28920252
#SPJ4
Erik is growing vegetables in a square garden in his backyard. Each side of the vegetable garden is 6 feet long. He is also growing herbs in a rectangular garden that is 4 feet long and 3 feet wide. How many square feet larger is the vegetable garden than the herb garden?
the vegetable garden is 24 square feet larger than the herb garden. The area of the square vegetable garden is equal to the length of one side squared.
what is larger than ?
"larger than" is a comparative term used to describe a situation where one thing has a greater size, quantity, value, or magnitude than another thing. It is used to indicate a comparison between two or more objects or quantities.
In the given question,
The area of the square vegetable garden is equal to the length of one side squared. Each side of the square garden is 6 feet long, so the area of the vegetable garden is:
6 feet × 6 feet = 36 square feet
The area of the rectangular herb garden is equal to its length multiplied by its width. The length of the herb garden is 4 feet and the width is 3 feet, so the area of the herb garden is:
4 feet × 3 feet = 12 square feet
To find the difference in area between the two gardens, we subtract the area of the herb garden from the area of the vegetable garden:
36 square feet - 12 square feet = 24 square feet
Therefore, the vegetable garden is 24 square feet larger than the herb garden.
To know more about larger than, visit:
https://brainly.com/question/19339286
#SPJ1
Prediction Equations ~ questions a and b
Hence, Equation of line is y= -17 x+420 and Predict the number of fan clubs in the U.S. in 2012 is -33784.
what is the slope?
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x.
What is a prediction ?The process of predicting inside of the observed x values observed in the data is called interpolation. The process of predicting outside of the observed x values observed in the data is called extrapolation.
according to question,
[tex](x_1,y_1)=(4,348) \\and (x_2,y_2)=(6,314)\\[/tex]
and y-intercept point=c=420
slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{314-348}{6-4}\\m=\frac{-34}{2}\\m= -17[/tex]
(a).now,equation of line ,y=mx+c
⇒y= -17x+420..(i)
(b). for 2012,x=2012
now value of x is substitute in (i),
⇒y= -(17*2012)+420
⇒y = -34204+420
⇒y= -33784.
Learn more about Slope here:
https://brainly.com/question/3493733
#SPJ1.
URGENT - Will also give brainliest to simple answer
Answer:
160°/360° = area/(π(5^2))
area = 25π(4/9) = 100π/9 square inches
Circumference = (4/9)π(5) = 20π/9 inches
Check these questions?
Answer: Looks pretty good :) !
The graph shows a line of best fit for data collected on the number of students enrolled at a university as a function of the number of faculty employed there. Which equation represents the line of best fit? A. y= 20x B. y=1/50 C. y=2x D. y=x
The equation that represents the line of best fit is given as follows:
y = 50x.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
When x = 10, y = 500, hence the slope m is given as follows:
m = 500/10
m = 50.
Hence the equation is given as follows:
y = 50x.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Could
7.7
cm
,
4.0
cm
,
7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and
1.7
cm
1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Choose 1 answer:
yes
or
no?
By triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
For example, is a, b and c be sides of triangle then a + b ≥ c.
Here, the sides of triangle are: 7.7 cm, 4.0 cm, 1.7 cm
Let a = 7.7 cm,
b = 4.0 cm,
c = 1.7 cm
consider the sum of sides b and c.
b + c = 4. 0 + 1.7
b + c = 5.7 cm
which is not greater than 7.7 cm (length of side 'a')
This means that, by triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
Learn more abou the triangle inequality here:
https://brainly.com/question/30977992
#SPJ1
The complete question is:
Could 7.7 cm,4.0 cm, 1.7 cm be the side lengths of a triangle?
PLSSSSSSSSSSSSSSS HELP I WILL MARK GOOD ANSWERS BRAINLYEST FOOL ANSWERS WILL GET REPORTED
Answer:
Kailey flipping heads: 3/4 as a fraction, 0.75 as a decimal, and 75% as a percent.
Olivia flipping tails: 9/20 as a fraction, 0.45 as a decimal, and 45% as a percent.
Step-by-step explanation:
Kailey flipped heads 15 times and tails 5 times.
First, find the total amount of times that Kailey flipped the coin.
15+5=20
Kailey flipped the coin 20 times.
Out of those 20 times, she flipped heads 15 times. We can rewrite this as:
[tex]\frac{15}{20}[/tex]
and simplify it:
[tex]\frac{3}{4}[/tex]
3/4 as a decimal is 0.75, and to find the percentage, simply multiply the decimal form by 100.
We can find that 3/4 as a percentage is 75%.
So, the probability of Kailey flipping heads is:
3/4 as a fraction, 0.75 as a decimal, and 75% as a percent.
Olivia flipped heads 11 times and tails 9 times.
Let's find how many times she flipped the coin.
11+9=20
Olivia flipped the coin 20 times.
Out of 20 times, Olivia flipped tails 9 times.
This can be rewritten as:
[tex]\frac{9}{20}[/tex]
This fraction is already in simplest form.
To find what 9/20 is as a decimal, divide 9 by 20. You'll get 0.45.
Now, multiply 0.45 by 100 to find the percent. You'll get 45%.
So, the probability of Olivia flipping tails is:
9/20 as a fraction, 0.45 as a decimal, and 45% as a percent.
Question 22 of 30
What is the y-intercept of the line y=1/2x-5?
O A. - 1/2
OB. 5
O C.1/2
OD. -5
Answer:
-5
Step-by-step explanation:
if u graph it, you can see where the y-intercept is.
Suppose each license plate in a certain state has three digits followed by three letters. The digits 4 and 5 are not used. So, there are 26 letters and 8 digits that
are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
license plates
X
The requried, there are 8998912 possible license plates that can be generated using this format.
There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used. Therefore, there are 8 choices for each of the three digits, giving us 8 x 8 x 8 = 512 possible combinations for the digits.
Similarly, there are 26 letters that can be used for each of the three letters on the license plate. Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.
Total number of license plates = number of choices for the digits x number of choices for the letters
= 512 x 17576
= 8998912
Therefore, there are 8998912 possible license plates that can be generated using this format.
Learn more about combination here:
https://brainly.com/question/13387529
#SPJ1
PLEASE HELP I'LL GIVE THE BRAINLIEST!
Answer:
Box A: 2 × 4.5 × 6 = 54 cubic inches
Box B: 6 × 2.5 × 3 = 45 cubic inches
Box C: 5 × 4.5 × 2.25 =
50.625 cubic inches
Box D: 2.5 × 2.25 × 3 = 16.875 cubic inches
From least to greatest, the order of the boxes' volumes is D, B, C, A.
10. In the first circle below write the last letter of the first word beginning with "L".
00000
11. Cross out the number necessary, when making the number below one million.
10000000000
12. Draw a line from circle 2 to circle 5 that will pass below circle 2 and above circle 4.
00000
13. In the line below cross out each number that is more than 20 but less than 30.
31 16 48 29 53 47 22 37 98 26 20 25
The final answers are given below
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
What do you mean by number?A number is an arithmetic value that is used to calculate and represent a quantity.
The numbers that are more than [tex]20[/tex] but less than [tex]30[/tex] are [tex]22[/tex] and [tex]26[/tex], so they should be crossed out:
[tex]31 16 48 29 53 47[/tex] X [tex]37 98[/tex] X [tex]2025[/tex]
Therefore the answers are given below.
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
Learn more about number
https://brainly.com/question/17429689
#SPJ1
Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 Group of answer choices graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1 graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1 graph of two parallel lines with positive slopes with text on the graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions
The correct option is- A. graph of two lines with the intersecting point at (negative 1, 1).
Explain about the intersecting lines:On a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Given system of equations:
y + 2x = −1 ...eq 1
3y − x = 4 ..eq 2
multiply eq 2 with 2 and add to eq 1
6y − 2x = 8 ..eq 3
6y − 2x + y + 2x = 8 - 1
7y = -7
x = -1
Now,
y + 2x = −1
y + 2(-1) = −1
y = -1 + 2
y = 1
Thus, the solution of the given system of equations. y + 2x = −1 and 3y − x = 4 is found as :(-1, 1).
The graph for the equations are attached.
Know more more about the intersecting lines:
https://brainly.com/question/28744045
#SPJ1
Correct question:
Choose the correct graph of the given system of equations. y + 2x = −1 and 3y − x = 4 .
Group of answer choices :
A. graph of two lines that intersect at the point (negative 1, 1)
B. graph of two lines that intersect at the point (1, 1) < Not
C. graph of two parallel lines with positive slopes
D. None of the above
DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.
2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.
3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.
4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.
Answer:
1. The parameter of interest is the proportion of students in the school who think of their parents or guardians as “strict”. A statistic that the students could use to estimate the parameter is the proportion of students in their sample who think of their parents or guardians as “strict”.
2. The best design for this study is a sample survey. An experiment would involve manipulating the parents' behavior and observing the effect on the students, which is not ethical. An observational study would only observe the behavior without manipulation, but it is not clear what behavior to observe in this case.
3. Here are three questions that could provide objective data related to strictness:
How often are your parents or guardians late to pick you up from school or activities? How often do your parents or guardians check your homework or schoolwork? How often do your parents or guardians allow you to go out with friends on school nights?4. An appropriate method for obtaining a sample of 100 students is random sampling. The students could assign each student in the school a number, and then use a random number generator to select 100 numbers. They could then survey the students corresponding to those numbers. Another method could be stratified sampling, where the students divide the school into groups based on grade level, and then randomly sample a proportionate number of students from each group.
The width of a rectangle is one quarter of the length of the rectangle. The perimeter of the rectangle
is 27 inches.
A. Find the width and the height of the rectangle. Show your work
B. Find the area of the rectangle. Show your work
A. The area of the rectangle is 29.16 square inches.
B. The width of the rectangle is 2.7 inches and the height (or length) is 10.8 inches
What is rectangle?A parallelogram in which each pair of adjacent sides is perpendicular is referred to as a rectangle.
We should utilize "w" to address the width and "l" to address the length of the square shape.
A. Since the width equals one quarter of the length, we are able to write:
w = (1/4)l
We also know that the perimeter of the rectangle is 27 inches, and
the formula for the perimeter of a rectangle is:
P = 2l + 2w
Substituting the first equation into the second equation, we get:
P = 2l + 2(1/4)l
27 = 2.5l
l = 10.8
Now that we know the length, we can use the first equation to find the width:
w = (1/4)l
w = (1/4)(10.8)
w = 2.7
As a result, the rectangle has a width of 2.7 inches and a height of 10.8 inches.
B. To find the area of the rectangle, we can use the formula:
Area = length *width
Substituting the values we found above, we get:
A = (2.7)*(10.8)
A = 29.16
Therefore, the area of the rectangle is 29.16 square inches.
know more about perimeter visit :
https://brainly.com/question/6465134
#SPJ1
A boutique sells blouses and purses. The blouses cost $28 each and the purses cost $39 each. On a certain day the store sells three times as many blouses as purses. If the store sold $1107 worth of these two items on that day, how many of each were sold
Thus, the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.
To solve this problem, we need to use algebraic equations. Let's start by assigning variables to the unknown quantities. Let x be the number of purses sold and y be the number of blouses sold.
From the problem, we know that the blouses cost $28 each and the purses cost $39 each. Therefore, the total revenue from selling x purses and y blouses is given by:
Revenue = 28y + 39x
We also know that the store sold three times as many blouses as purses. Therefore, we can write:
y = 3x
Now we can substitute y = 3x into the revenue equation and solve for x:
1107 = 28y + 39x
1107 = 28(3x) + 39x
1107 = 84x + 39x
1107 = 123x
x = 9
So the store sold 9 purses. To find the number of blouses, we can use the equation y = 3x:
y = 3x = 3(9) = 27
Therefore, the store sold 27 blouses.
In summary, the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.
know more about the total revenue
https://brainly.com/question/30760779
#SPJ11