178 students taking a music class and 82 students taking an art class
There was no clear question, but I'm assuming you want to know how many students are enrolled in music and painting classes.
Let x= the number of children enrolled in art classes.
number of children enrolled in music classes: 2x + 14
The overall number of children will be 260, including all of these children.
x+2x+14 = 260
3x=246 x=82 pupils attend an art lesson.
To find people taking music classes, enter x to 2x+14.
2(82)+14 = 178
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The complete question would be;
There are 260 eighth-grade students at South Whitemarsh Middle School. All eighth-grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes.
Given g(x) = 1/2(3x-1) and f(x)=7 identify the value of x which makes f(x) = g(x)
Answer:x=5
Step-by-step explanation:
f(x) = g(x)
[tex]\frac{1}{2}(3x-1)=7\\\\ \frac{3}{2}x-\frac{1}{2} =7\\\frac{3}{2}x-\frac{1}{2}+\frac{1}{2} =7+\frac{1}{2} \\\\\frac{3}{2}x=\frac{15}{2} \\\frac{3}{2}x*\frac{2}{3} =\frac{15}{2}*\frac{2}{3} \\\\x=5[/tex]
What number should be added to the polynomial 2x³ − 3x² − 8x so that the resulting polynomial leaves the remainder 12 when divided by 2x 1?
The number that should be added to the polynomial 2x³ - 3x² - 8x is 12x
When a polynomial is divided by a linear factor, the remainder is equal to the constant term of the polynomial multiplied by the reciprocal of the linear factor.
In this case, the polynomial is 2x³ - 3x² - 8x, and the linear factor is 2x-1.
To find the remainder when this polynomial is divided by 2x-1, we need to multiply the constant term of the polynomial, which is -8, by the reciprocal of 2x-1, which is 1/(2x-1).
So the remainder should be -8*(1/(2x-1)) = -8/(2x-1) = -4/(x-0.5)
To make the remainder 12, we will add 12x to the polynomial so that the new constant term is 12.
The polynomial 2x³ - 3x² - 8x + 12x will have a remainder of 12 when divided by 2x-1.
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help me with this question, please, ill choose brainiest and give u 30 points for answering
image below
Answer: D
Step-by-step explanation:
There are 3.5 loaves of bread, each weighing 1.5 lbs. Anton's family eats 2.5 loaves of bread. What is the total weight of the loaves of bread that are left?
The total weight of the loaves of bread remaining is 1.5 lbs
How to find the total weight of the loaves of bread leftFrom the problem it can be deduced that'
There are 3.5 loaves of bread
each weighing 1.5 lbs
Anton's family eats 2.5 loaves of bread
the total weight of the loaves of bread that are left = ?
The loaves of bread that are left
= 3.5 loaves - 2.5 loaves
= 1 loaf
Since 1 loaf weighs 1.5 lbs the weight of the left over bread is 1.5 lbs
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Kelly has a savings account with a beginning balance of $800.
• She earns $340 a week at her job.
• For 8 weeks, she puts 15% of her weekly earnings into the savings account.
• Kelly makes 3 withdrawals of $45 each.
What is the account balance at the end of 8 weeks?
Let's start by using the provided information to formulate an equation.
Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.
y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.
Simplify parenthesis first:
y=8(.15·340)+800-45(3)
y=8(51)+800-45(3)
Complete any multiplication:
y=8(51)+800-45(3)
y=408+800-135
Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:
y=408+800-135
y=1208-135
y=1,073
Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.
Hope that helps, and feel free to give Brainliest!
The account balance at the end of 8 weeks is $1073.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.
Therefore, 15% of her weekly earnings for 8 weeks is,
= (15/100)×340×8.
= $408.
Again, She made $45 withdrawals 3 times, which is,
= 3×45.
= $135.
Therefore, The final amount in her account after 8 weeks is,
= $(800 + 408 - 135).
= $1073.
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You scored a 90% on your math test . The test was out of 70points how many points did you get help
Answer:
63 points
Step-by-step explanation:
So you are trying to find out how many points you scored on the test when you got 90%,
we could do that by:
--------
70 (The totals points of the test) × 0.9 (The percentage converted into a decimal) = 63
--------
Let's double check,
so you got 63 out of 70, so when we divide 63 by 70, you would get 0.9.
0.9 converted into a percentage is 90%
Have a good day :)
Tims picture. is 8 feet long. The length of a copy of the picture is 1/2 a foot long. What is the scale factor from the original to the copy?
Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.
In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.
So the scale factor is:
1/2 a foot / 8 feet = 1/16
This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.
It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16
It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.
Step-by-step explanation:
Give a polygon with 13 sides, find sum of the measure of its interior angles. a polygon with 13 sides has an interior angle measure sun of
Answer:
sum of interior angles is 1980°
Step-by-step explanation:
(n-2)×180° = (13-2)×180°
= 11×180°
= 1980°
Answer:
1980 Degrees
Step-by-step explanation:
By Now You Must Know To Use The Equation:
(n-2)180
The 13 is n so now it is:
(13-2)180
13-2 is 11
So Now It Is
11 x 180
And Now The Answer Is 1980
Nancy has 2 more than twice the number of homework problems April has. Nancy has 20 homework problems. In the equation below, p is the number of homework problems April has. What is the value of p?
Answer: 9
Step-by-step explanation:
Since p is the number of homework problems April has. Since Nancy has 2 more than twice the number of homework problems April has and has 20 homework problems, this can be expressed into an equation as:
(2 × p) + 2 = 20
2p + 2 = 20
2p = 20 - 2
2p = 18
p = 18/2
p = 9
April has 9 homeworks, therefore p is 9.
What is the inverse of negative 7?
The inverse of negative 7 when reciprocled is found to be as - 1/7.
The reciprocal of a number is known as the inverse of that number . The term reciprocal can be defined as, an expression or function which is related to another in such a manner that their product is unity, which means 1 , the quantity obtained by dividing the number one by a given quantity gives the original number back.
The term inverse means the reciprocal of an operation. Subtraction means to take away, and addition means to obtain the sum. Therefore , we can say that addition is the reverse of subtraction .As a result, addition and subtraction are diametrically opposed operations.
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PLEASE HELP ME I DONT UNDERSTAND GIVING 100 POINTS
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year
Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
(e) y - 15= 3/4(x-15)
Is this equation okay to use for the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrectly?
Creat two new equations written in point slope form
Answer:
(e) is the incorrect equationy -9 = 3/4(x -8)y -15 = 3/4(x -16)Step-by-step explanation:
Given a tree is 3 ft tall when planted and grows at 3/4 ft per year, you want to identify the point-slope equation that does NOT fit this description, and you want two (2) more point-slope equations that DO fit this description.
Point-slope equationThe point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
PointsThe point representing the initial height of the tree is (x, y) = (years, feet) = (0, 3). If the rate of growth is 3/4 ft per year, then the equation can be written ...
y -3 = 3/4(x -0) . . . . . . . . . matches choice (a)
All of the given equations have m = 3/4, so to find the incorrect equation, we need to find the point that is not on the line described by the above equation. We can do this by identifying the point (h, k) in each equation.
The attachment shows the point values used in each of the other equations (b) through (e). We find they all fall on the line except the point (15, 15) used in equation (e).
The incorrect equation is equation (e) y -15 = 3/4(x -15).
Additional equationsWe can write additional equations by finding additional points that are on the line. For the purpose, it is convenient to choose x-values that are multiples of 4. Already, equations use x = 0, 4, 12, 15. We can choose x=8 and x=16 for the equations we write. The graph shows the corresponding y-values are 9 and 15, respectively. Then two additional equations could be ...
y -9 = 3/4(x -8)
y -15 = 3/4(x -16)
__
Additional comment
There are several ways to find the equation that doesn't belong. Another way, apart from plotting the points on a graph, is to rewrite each equation into the same form. Slope-intercept form is fairly convenient for this.
(a) y -3 = 3/4(x -0) ⇒ y = 3/4x +3
(d) y -12 = 3/4(x -12) ⇒ y = 3/4x -9 +12 = 3/4x +3
(e) y -15 = 3/4(x -15) ⇒ y = 3/4x -11.25 +15 = 3/4x +3.75 (incorrect)
You can see that 3/4x (and y) will be an integer only if x is a multiple of 4. We like integers, so it is convenient to choose x as a multiple of 4.
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Find a counterexample to show that the conjecture is false.
All numbers ending in 6 are divisible by 6.
Therefore ,In other words the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)
Describe fraction.A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.
Here,
21/3 = 7 21/6 = 3.5
18/3 = 6 18/6 = 3
24/3 = 8 24/6 = 4
12/3 = 4 12/6 = 2
Each can be split to get an integer, with the exception of:
21/6 = 3.5
Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).
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is this the right answer?
Answer:
Yes you are correct
Step-by-step explanation:
If you split them they all are worth zero which is nothing
please help me i can't seem to get it
Answer C
Step-by-step explanation:
3(x−1) + 7=11 what is x
Answer:
3(x-1)+7=11
3x-3-7=11
3x-10=11
3x=11+10
x=21/3
x=7
Step-by-step explanation:
Answer:
[tex]3(x−1) + 7=11[/tex]
[tex]3x−3+ 7=11[/tex]
[tex]3x + 4 = 11[/tex]
[tex]x = \frac{7}{3} [/tex]
hello please help i’ll give brainliest
Answer:c
Step-by-step explanation:
Which is most appropriate unit to measure the length of a marathon race?
A. Kilometer
B. Meter
C. Millimeter
D. Centimeter
Answer:
b meter
let me know if this is right
Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.
Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.
Is the statement true or false?Here we have the following statement:
"The point (1, r) on the graph of a proportional relationship shows the unit rate r."
First, remember that a proportional relationship between two variables x and y can be written as:
y = k*x
There k is what we call the constant of proportionality or the unit rate.
If we evaluate that equation in x = 1, we will get:
y = k*1
y = k
Then we have the point (1, k).
In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.
So the statement is true.
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Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67. Write a system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y).
The system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67.
We can write the system of equations as -
8x + 9y = 117
3x + 8y = 67
Where -
cost of gespils → (x)
cost of alabers → (y).
Therefore, the system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
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Consider the following 8 numbers, where one labelled x is unknown. 28, 39, 21, x , 33, 38, 2, 45 Given that the range of the numbers is 57, work out 2 values of x
The needed two values of x are: 59 and -12.
The difference between a sequence's maximum value and minimum value is referred to as the sequence's range.
A sequence's range is just a set that identifies the sequence. The set x1, x2, x3, and so forth is typically used to describe the range; it is also written as xn; n = 1, 2, 3,...
Given sequence of 8 numbers as: 28, 39, 21, x , 33, 38, 2, 45
Given range of above sequence: 57
Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that the range remains at 57.
Case 1: x as minimum value of given sequence:
If so, then the maximum value is 45. Then-
range = maximum value - minimum value
57 = 45 - x
x = -12
Case 2: x as maximum value of the given sequence:
If so, then the minimum value of the sequence is 2. Then-
range = maximum value - minimum value
57 = x - 2
x = 59
Thus, the needed two values of x are: 59 and -12.
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What value of n makes the equation true? Show your work.
Answer:
4
Step-by-step explanation:
[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]
[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]
[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]
[tex]7^{7n} = 7^{28}\\[/tex]
[tex]n = 4[/tex]
What is the quotient of 35.86 divided by 2.2
Answer:
16.3
Step-by-step explanation:
35.86/2.2
=16.3
select the equation that represents the problem let x represent the unknow number
principal Hernandez bought 640 t shirts for the students in his school the t-shirts came in packs of 20.how many packs did he buy
A. x + 20= 640
B. 640x= 20
c. 20x= 640
D. 640 - x = 20
PLEASE HELP!!! WILL AWARD BRAINLIEST!!!
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Top data set labeled males, minimum at 1, Q1 at 3, median at 11, Q3 at 14, maximum at 21, and an outlier at 30.
Bottom data set labeled females, minimum at 0, Q1 at 15, Median at 18, Q3 at 21.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions
The estimated IQR for the males dataset is 24 , the estimated difference between median value of each dataset is 14.
What is median ?
The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It can be regarded as "the middle" value for a set of data.
When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.
In a collection of numbers, the median is the value in the middle. A series of numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest in order to find the median value.
A. IQR for male dataset
The IQR is calculated as follows:
IQR = Q3 - Q1
=
For the male's data:
IQR = Q3 - Q1
= 25 - 1
= 24
Hence, the IQR of the male dataset is 24.
B. Difference in median values
We have:
median = 20 ----- Male dataset
median = 6 ----- Female dataset
So, the difference (d) is:
d = 20 - 6
= 14
Hence, the difference in median of both dataset is 14.
C. Best measure of center
The female box plot has an outlier. This means that the measure of center to use for the female dataset is the median.
The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot
D. Reason for outlier
There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry.
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brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line
Answer:
Step-by-step explanation:
To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.
[asy]
unit size(1cm);
draw((-7,0)--(5,0));
draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);
dot("$P$", (-5/2,0), S);
dot("$Q$", (2 3/4,0), S);
dot("$R$", (1.25,0), S);
dot("$S$", (-3.5,0), S);
[/asy]
On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.
Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4.
The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
To compute this, first convert 5 to binary and base-4:
5 in binary: 101
5 in base-4: 11
Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.
To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:
11 in binary: 1011
11 in base-4: 111
Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
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use triangle ABC with vertices A (3,4) B(1,6) and C(1,1). translate triangle ABC 5 units left and 3 unts down whats the B coordinate
Answer:
(6,3). P
Step-by-step explanation:
Hello there my friend ;D
When we are talking about translation, it is really simple. Let me simplify it for you with the formulas. When they are asking you do move left or right, that means the x coordinate will moved (‘a’ will be the units they ask you to move) If they are asking you to move LEFT: (x,y) —> (x-a, y). If they are asking you to move RIGHT: (x,y) —> (x+a, y). Now if they are asking you to move up or down, that mean the y-coordinate will move (‘b’ will be the units they ask you to move) If they ask you to move UP: (x,y) —> (x, y+b). If they ask you to move DOWN: (x,y) —> (x, y-b). NOW, In our current problem, they are asking what is B’ coordinate, B was (1,6). B will be translated 5 units LEFT and 3 units DOWN. Now that I have already explained, (1+5, 6) —-> (6, 6). (Note: ALWAYS do x before y). Then (6, 6-3) —> (6, 3). SO, the answer is (6,3).
I HOPE THIS HELPED!! HAVE A GREAT DAY ;D PLEASE GIVE ME BRAINLIEST!!
The table shown represents a linear relationship. x 0 1 3 4 y −8 −6 −2 0 Based on the table, what is the equation of the linear relationship in slope-intercept form? y = 2x − 8 y = 2x + 8 y = −2x + 4 y = −2x − 4
Based on the table, an equation of the linear relationship in slope-intercept form include the following: A. y = 2x − 8
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Next, we would determine the slope of the data points in this table as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-6 - (-8))/(1 - 0)
Slope, m = 2/1
Slope, m = 2.
At point (0, -8), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept is equal to -8.
y = mx + c
y = 2x + (-8)
y = 2x - 8.
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Answer:
A. y = 2x − 8
Step-by-step explanation:
A bag contains six red marbles and 18 blue marbles what is the probability of randomly selecting a blue marble from the bag
Answer:
3/4
Step-by-step explanation:
18 + 6 = 24
So 18/24 times you would get the blue marble.
simplified would be 3/4
Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Who has the greater test average and who has the most consistent test scores?
Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Jamal has a greater test average than Natalia. Natalia has more consistent test scores than Jamal.
To find the test average, you add up all the test scores and divide by the number of test scores.
Jamal's average: (84+88+92+94) / 4 = 89.50
Natalia's average: (86+88+90+92) / 4 = 89
Jamal has a greater test average.
To find the consistency of test scores, you can use the range, which is the difference between the highest and lowest scores.
Jamal's range: 94-84=10
Natalia's range: 92-86 = 6
Natalia has the most consistent test scores, as the range of her scores is smaller than Jamal's.
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