Complete question :
A student pays for 8.3 pounds of apples with a $10 bill. It's $0.98 per pound. How much change does the student receive? Answer parts a and b. a. What do you do first to solve the problem? ▼ Divide Multiply the number of pounds of apples by the price per pound. ▼ 8.3 divided by 0.98 8.3 times 0.98 nothing or
Answer:
Kindly check explanation
Step-by-step explanation:
Cost per pound = $0.98
Number of pound = 8.3 pounds
First step:
Calculate the cost of 8.3 pounds of apple:
Multiply the price per pound by the total pounds of apple purchased
Hence, total cost :
8.3 * $0.98 = $8.134
Amount of change received :
Amount paid - total price
$10 - $8.134
= $1.866
List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?
Given that a = 6 cm and b = 5 cm, work out the area of the triangle.
6
The area of the triangle is calculated to be 15 cm^2.
To calculate the area of the triangle, we use the formula
Area= 1/2 * (base) * (height)
Here, we can consider a as the height of the triangle and b as the base of the triangle.
Given we have,
a = 6 cm and b = 5 cm
Substituting the values of height and base in the given formula, it becomes,
Area= 1/2 *a *b
=1/2 * 5 cm * 6 cm
=15 cm^2
This formula can be applied to any triangle, regardless of its size, as long as the base and height are known. It is important to note that the unit of measurement for the base and height must be the same for the formula to be correct.
Read more about Area of Triangles:
https://brainly.com/question/29156501
#SPJ4
Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point questions (x) and four-point questions (y). How many of each type of question are on the test?
Answer:
There is 30 2 pt questions and 10 4 pt questions
Step-by-step explanation:
x is number of two-point questions
y is number of four-point questions
There is a total of 100 points.
There is a total of 40 questions.
Now, we solve by substitution
Plug 30 back in to solve for y
What is the answer? Or how can I solve this.
Answer:
61.5 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees total
PLEASE MARK BRAINLIESTThe scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.
The appropriate measure of variability for the given data is the IQR, and its value is 16.
Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.
The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).
The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.
The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.
In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.
For more questions on variability
https://brainly.com/question/14544205
#SPJ8
x² + 8x + 16 =
I need the steps and the answer
and the box
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
Help me plsssss
I will give you brainliest
The theorem that shows the congruency of both triangles is: LA
How to Identify the Congruence Postulate?The different congruence postulates are:
SAS which denotes side angle side congruency
SSS which denotes Side side side congruency
AAS which denotes angle angle side congruency
ASA which denotes Angle Side Angle Congruency
HL which denotes Hypotenuse Leg Congruency
We are given two right angle triangles and looking at them we can see that the It is an LA theorem which denotes to leg-acute. It states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and the acute angle of another right triangle, then the triangles are congruent.
Read more about Congruence Postulate at: https://brainly.com/question/29268713
#SPJ1
simplify -9 + (-1/3 y ) + 6 -4/3y.
Answer:
−5/3y−3
Step-by-step explanation:
Combine like terms
Information to answer the question.
This data represents the number of jumps in a row 10 students made during a jump-rope competition.
30, 36, 38, 45, 57, 60, 77, 86, 88, 88
What is the interquartile range? Enter the answer in the box.
Jumps
The interquartile range of the number of jumps of the 10 students during the competition is 38.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is used to determine the variation of a data set.
Th first step is to determine the median of the first half of the dataset. The median of the first half is the first quartile.
First half of the data set: 30, 36, 38, 45, 57
Median = first quartile = 38
The next step is to determine the median of the second half of the dataset. The median of the second half is the third quartile.
Second half of the data set: 60, 77, 86, 88, 88
Median : third quartile = 86
Interquartile range = third quartile - first quartile
86 - 38 = 48
To learn more about interquartile range, please check: https://brainly.com/question/3966385
#SPJ1
50 Points Halp Me With This Question Pls and Ty
Angle 6, Angle 16 and Angle 11 are not congruent.
We need to check ∠5 is not equal to which angle from the figure.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Here,
Angle 5 = Angle 2 (Vertically opposite angles)
Angle 5 = Angle 7 (corresponding angles are equal)
Angle 5 = Angle 13 (corresponding angles are equal)
Therefore, Angle 6, Angle 16 and Angle 11 are not congruent.
To learn more about the vertical angle theorem visit:
brainly.com/question/8119520.
#SPJ1
Answer:
B) Angle 6
C) Angle 16
E) Angle 11
Step-by-step explanation:
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Corresponding Angles Theorem
When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.
According to the corresponding angles theorem:
∠5 = ∠13 = ∠7 = ∠15∠2 = ∠10 = ∠4 = ∠12According to the vertical angles theorem:
∠5 = ∠2Therefore:
∠5 = ∠2 = ∠4 = ∠7 = ∠10 = ∠12 = ∠13 = ∠15As angle 5 is not a right angle, the angles that angle 5 is not equal to are:
Angles 1, 3, 6, 8, 9, 11, 14 and 16PLEASE ANSWER, HURRY!!!
Hello!
1/6 ≈ 0.167
the answer is 0.167
3 Find an explicit formula
an
for the nth term of the geometric sequence whose first term is
a1 = 3
such that
an + 1
an
=
1
10
for
n ≥ 1.
an =
please show step by step clearly
The explicit formula for the nth term of the geometric sequence is an = 3 * 110^(n-1).
To find the explicit formula for the nth term of the geometric sequence, we'll use the given condition:
an+1 / an = 110.
Let's substitute the values using the subscript notation:
a(n+1) / an = 110.
Now, we know that an+1 represents the (n+1)th term, and an represents the nth term.
Multiplying both sides by an, we get:
an+1 = 110 * an.
To express an+1 in terms of an, we can rewrite it as:
an+1 = 110^(1) * an.
This shows that each term is obtained by multiplying the previous term by 110. Since a1 is given as 3, we can rewrite it as:
a(n) = 3 * 110^(n-1).
Therefore, the explicit formula for the nth term of the geometric sequence is an = 3 * 110^(n-1).
For more questions like Sequence click the link below:
https://brainly.com/question/21961097
#SPJ11
PLEASE HELP!! I'LL MARK BRAINLIEST AND GIVE POINTS!!
Fiona and Rachel went to determine the most popular lunch choice in the school cafeteria among seventh graders. They decide to collect data from a sample of seventh graders at school. Fiona surveys twenty seventh graders that are in line at the cafeteria. Rachel surveys twenty seventh graders whose ID numbers end in 9.
ALL YOU HAVE TO DO IS FIND WHICH REPRESENTATION IS BIGGER, FIONA'S OR RACHEL?
Answer:
Rachel
Step-by-step explanation:
Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).
The last number in an ID has nothing to do with lunch choice.
Determine which relation is a function. Question 1 options: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Option d) {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)} is the correct answer.
A function is a mathematical relation that maps each element in a set to a unique element in another set.
To determine which relation is a function between the given options, we need to check whether each input has a unique output.
In option a), the input -1 has two outputs, 3 and 2, which violates the definition of a function.
In, Option b) has two outputs for the input 0, violating the same definition.
In, Option c) has two outputs for the input 0, but it also has two outputs for the input -2, which violates the definition of a function as well.
In, Option d) is the only relation that satisfies the definition of a function, as each input has a unique output. Therefore, Option d) is the correct answer.
To know more about function here
https://brainly.com/question/28193995
#SPJ1
How should outliers be defined? values which are more than 3 standard deviations from the mean
Outliers should be defined as values that are more than three standard deviations from the mean. Outliers are statistical points that lie outside the range of values normally found a particular dataset.
These are the values that have been marked as exceptional or rare compared to other data points.An outlier is any data point that stands out from the rest of the data in some way.
For example, an outlier can be a data point that is much larger or much smaller than the other data points, or a data point that is located far away from the other data points.The outliers can occur in any direction. They can be extremely high or extremely low. The important thing is that they are significantly different from the rest of the data and can have a significant impact on statistical analyses that are performed on the data.
To know more about mean visit:
https://brainly.com/question/31101410
#SPJ11
A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?
Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.
The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.
The amount of money separating the highest salary from the lowest salary when considering all employees.
The distance between the salary of an employee and the mean salary of all the employees.
Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.
The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."
Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.
For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.
Learn more about standard deviation here: https://brainly.com/question/475676
#SPJ4
A line has a slope of
3/2
and a y-intercept of
4/5
Which of the following is an equation of the line?
9514 1404 393
Answer:
(d) 15x -10y = -8
Step-by-step explanation:
Using the given values for slope (m) and y-intercept (b), the slope-intercept form of the equation is ...
y = mx + b
y = 3/2x +4/5
Multiplying both sides by 10 gives ...
10y = 15x +8
Subtracting 10y+8 from both sides, we have ...
-8 = 15x -10y
In standard form, this is ...
15x -10y = -8
An angle measure 40° less than the measure of its complementary angle. What is the measure of each angle.
The required measure of the complementary angle is given as 65 and 25.
What are complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then A + B = 90 degrees.
Here,
Complementary angles are two angles whose measures add up to 90 degrees. Let x be the measure of the first angle, and let y be the measure of the second angle.
x = y - 40
We also know that the measures of the two angles add up to 90 degrees since they are complementary. Mathematically, we can express this as:
x + y = 90
We can substitute the first equation into the second equation to eliminate one of the variables:
(y - 40) + y = 90
Simplifying this equation, we get:
2y - 40 = 90
Adding 40 to both sides, we get:
2y = 130
Dividing both sides by 2, we get:
y = 65
Now that we know that the second angle has a measure of 65 degrees, we can use the first equation to find the measure of the first angle:
x = y - 40
x = 65 - 40
x = 25
Therefore, the two angles have measures of 25 degrees and 65 degrees.
Learn more about complementary angles here:
https://brainly.com/question/16984414
#SPJ1
Glenn picked 3.45 pounds of Gala apples and 2.15 pounds of Macintosh apples at the orchard to make applesauce. How many pounds of apples did Glenn pick?
Number of Total Apples:
3.45+2.15=5.60The membership fee for joining a local indoor trampoline park is $24 per year. The
trampoline park charges members of the park $3 for admission to the park.
Nonmembers of the trampoline park are charged $6. After how many visits to the
trampoline park is the total cost for members, including the membership fee, the same
as the total cost for nonmembers?
Answer:
calculator g
Step-by-step explanation:
Answer:
calculator g <3
Step-by-step explanation:
i know because i figured it out
Can someone help me asap thx
Answer:
1st = 18
2nd = -29
3rd = -6
4th= 8
Step-by-step explanation:
hope it helps
Answer:
33. m = 18
34. b = -29
35. w = -6
36. t = 8
Step-by-step explanation:
33. -3 + m = 15
+3 +3
m = 18
34. 9 + b = -20
-9 -9
b = -29
35. -7 - w = -1
+w +w
-7 = -1 + w
+1
-6 = w w = -6
36. -4 -t = -12
+t +t
-4 = -12 +w
+12 +12
8 = w w = 8
Raj went to the theatre to watch a traditional Indian dance performance with his family. The theatre had 1050 seats. There were 50% fewer $50-seats than $30-seats. 90% of the $30-seats and some $50-seats were sold. A total of $34 650 was collected. How many seats were unsold?
Total number of seats that remain unsold are 168.
What is statistics?
The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.
Let's start by defining some variables to represent the unknowns in the problem:
Let x be the number of $30-seats.Let y be the number of $50-seats.From the problem, we know that:
The total number of seats is 1050: x + y = 1050.There were 50% fewer $50-seats than $30-seats: y = 0.5x.90% of the $30-seats and some $50-seats were sold, which means that the revenue from the $30-seats is 0.9(30x) = 27x, and the revenue from the $50-seats is 0.9(50y) = 45y.We also know that the total revenue collected is $34,650:
27x + 45y = 34650
Now we can substitute y = 0.5x from the second equation into the third equation and simplify:
27x + 45(0.5x) = 34650
27x + 22.5x = 34650
49.5x = 34650
x = 700
So there were 700 $30-seats and 350 $50-seats.
The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.
Therefore, the total number of seats sold is 882, and the number of unsold seats is:
1050 - 882 = 168
Learn more about statistics on:
https://brainly.com/question/15525560
#SPJ1
how many inches of snow does it take to equal the moisture in 1 inch of rain
Can you plzzzzz help me?
Answer:
65 people
Step-by-step explanation:
0 represents the unknown value
0-19= -19
-19+17= -2
63+ the two that were lost during the journey=65
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line at the drive-up window, Burrito King would like to know the expected average time in the system, the average line length (in cars), and the average number of cars in the system (both in line and at the window).
Required:
a. What is the average waiting line length (in cars)?
b. What is the average number of cars in the system (both in line and at the window)?
c. What is the expected a verage time in the system, in minutes?
a. The average waiting line length (in cars) is:
\(Lq = (p^2)/(1-p) = (0.9^2)/(1-0.9) = 8.1\) cars
b. The average number of cars being served is equal to the utilization factor:
Ls = ρ = 0.9
L = Lq + Ls = 8.1 + 0.9 = 9 cars
c. The expected average time for a customer in the system is 7.5 minutes.
To solve this problem, we will use the M/M/1 queuing model, where arrivals follow a Poisson process and service times follow an exponential distribution. In this model, the system has one server (the Burro-Master 9000) and infinite queue capacity.
a. Average waiting line length (in cars):
The arrival rate is λ = 1/50 per second, and the service rate is μ = 1/45 per second (since it takes 45 seconds to produce a batch of burritos). The utilization factor ρ is given by ρ = λ/μ = (1/50)/(1/45) = 0.9. Therefore, the average waiting line length (in cars) is:
\(Lq = (p^2)/(1-p) = (0.9^2)/(1-0.9) = 8.1\) cars
b. Average number of cars in the system (both in line and at the window):
The average number of cars in the system is the sum of the average waiting line length and the average number of cars being served. Since there is only one server, the average number of cars being served is equal to the utilization factor:
Ls = ρ = 0.9
L = Lq + Ls = 8.1 + 0.9 = 9 cars
c. Expected average time in the system, in minutes:
The expected average time in the system (in minutes) is the sum of the expected waiting time and the expected service time. The expected waiting time can be calculated using Little's law:
Wq = Lq/λ = 8.1/(1/50) = 405 seconds
The expected service time is the time it takes to produce a batch of burritos, which is 45 seconds. Therefore, the expected average time in the system is:
W = Wq + 1/μ = 405 + 45 = 450 seconds = 7.5 minutes
So the expected average time for a customer in the system is 7.5 minutes.
for such more question on average
https://brainly.com/question/20118982
#SPJ4
Can you help me with 3 answers please
The area of the attached quadrilaterals are
area of rhombus = 20 square units
area of rectangle = 60 square units
none of the above
How to find the area of the images attachedThe formula for area of rhombus is
Area = base × height
Area = 5 × 4
= 20 square units
The formula for area of rectangle is
Area = length × width
Area = 10 × 6
= 60 square units
The formula for area is
Area = base × height
Area = 7 × 4
= 28 square units
Learn more about area at
https://brainly.com/question/25292087
#SPJ1
What’s are the answers for parts A and B
Step-by-step explanation:
hope this helps, happy learning!!!
What is 4/9 of 21???
Answer:
9.3π
I hope this helps :3
Answer:
Hi how are you doing today Jasmine
calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles
The number of waffles can be made from 15 eggs are, 20 waffles.
the waffles can be calculates as follows
4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles
we need 6 eggs to make 8 waffles
So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles
Hence, the number of waffles can be made from 15 eggs are 20 waffles.
Learn more about this equation at
https://brainly.com/question/14275434
#SPJ1
2% of 98, i need this quick, its for my hw
Answer:
1.96
Step-by-step explanation:
Answer:
1.96
Step-by-step explanation: